Statistical Analysis of Longevity, Number of Publications, and Number of Cit\ ations of Fellows of the American Mathematical Sociecty who Died Before \ Aug. 2022 By Shalosh B. Ekhad, Livia A. Stone, and Doron Zeilberger Chapter I: Analysis of Longevity Statistical Analysis of Longevity of Fellows of the American Mathematical So\ ciecty who Died Before Aug. 2022 145, AMS Fellows died between its inauguration in 2013 and Aug. 2022. In this chapter we statistically analyze their age at death. The average age at death of an AMS Fellow who died before Aug. 2022 is , 83.36551722 The standard deviation is, 9.343125175 The skewness is, -1.079264445 The kurtosis is, 4.327734116 The scaled, 5, moment is, -10.53195165 The scaled, 6, moment is, 35.37252141 The scaled, 7, moment is, -111.0186721 The scaled, 8, moment is, 382.2623360 The scaled, 9, moment is, -1330.266729 The scaled, 10, moment is, 4387.048016 The age generating function, with the variable t is 100 99 97 96 95 94 93 92 91 90 t + t + 2 t + 3 t + 3 t + 4 t + 8 t + 3 t + 6 t + 4 t 89 88 87 86 85 84 83 82 81 + 13 t + 9 t + 6 t + 6 t + 5 t + 9 t + 6 t + 7 t + 5 t 80 79 78 77 76 75 74 73 72 + 5 t + 5 t + 4 t + 2 t + 4 t + 3 t + 4 t + 2 t + t 70 68 66 65 63 60 59 58 48 + t + t + 3 t + 2 t + t + t + 2 t + 2 t + t and in Maple notation t^100+t^99+2*t^97+3*t^96+3*t^95+4*t^94+8*t^93+3*t^92+6*t^91+4*t^90+13*t^89+9*t^ 88+6*t^87+6*t^86+5*t^85+9*t^84+6*t^83+7*t^82+5*t^81+5*t^80+5*t^79+4*t^78+2*t^77 +4*t^76+3*t^75+4*t^74+2*t^73+t^72+t^70+t^68+3*t^66+2*t^65+t^63+t^60+2*t^59+2*t^ 58+t^48 The median age is, 85 The youngest age was, 48 The oldest age was, 100 Here are all the dead fellows listed, in decreasing order, by their age at d\ eath, followed by their number of publications and number of citations (\ in MathSciNet) There were, 1, fellows who died at the age of, 100 MauriceH Heins ( 1915-2015) 93;401 There were, 1, fellows who died at the age of, 99 Lee Lorch ( 1915-2014) 86;272 There were, 2, fellows who died at the age of, 97 Komaravolu Chandrasekharan ( 1920-2017) 75;778 IsadoreM Singer ( 1924-2021) 96;5215 There were, 3, fellows who died at the age of, 96 Jane CroninScanlon ( 1922-2018) 66;206 Bjarni Jonsson ( 1920-2016) 90;1632 RichardD Schafer ( 1918-2014) 46;712 There were, 3, fellows who died at the age of, 95 EdgarH Brown ( 1926-2021) 58;586 DonaldAS Fraser ( 1925-2020) 182;400 Louis Nirenberg ( 1925-2020) 175;17621 There were, 4, fellows who died at the age of, 94 LidaK Barrett ( 1927-2021) 5;2 CathleenSynge Morawetz ( 1923-2017) 82;1295 JohnT Tate ( 1925-2019) 95;5626 JohnH Walter ( 1927-2021) 27;214 There were, 8, fellows who died at the age of, 93 TomM Apostol ( 1923-2016) 87;2886 ArthurHerbert Copeland ( 1926-2019) 19;41 RichardV Kadison ( 1925-2018) 105;3633 JosephB Keller ( 1923-2016) 321;3655 JohnC Moore ( 1923-2016) 37;1254 Murray Rosenblatt ( 1926-2019) 178;2128 LloydStowell Shapley ( 1923-2016) 70;4107 Guido Weiss ( 1928-2021) 114;8722 There were, 3, fellows who died at the age of, 92 Edward Fadell ( 1926-2018) 59;1065 Walter Noll ( 1925-2017) 59;1601 Herman Rubin ( 1926-2018) 99;498 There were, 6, fellows who died at the age of, 91 Harvey Cohn ( 1923-2014) 118;664 Jean-Pierre Kahane ( 1926-2017) 288;2639 ArthurP Mattuck ( 1930-2021) 17;152 Isaac Namioka ( 1928-2019) 57;1183 Howard Osborn ( 1928-2019) 36;52 Maurice Sion ( 1927-2018) 39;525 There were, 4, fellows who died at the age of, 90 Steve Armentrout ( 1930-2020) 37;145 SirMichael Atiyah ( 1929-2019) 269;12281 ManfredoP doCarmo ( 1928-2018) 110;3685 EugeneB Dynkin ( 1924-2014) 222;2851 There were, 13, fellows who died at the age of, 89 FelixE Browder ( 1927-2016) 200;4743 JimJr Douglas ( 1927-2016) 180;5937 Branko Grunbaum ( 1929-2018) 271;3814 Junichi Igusa ( 1924-2013) 89;1610 Bertram Kostant ( 1928-2017) 114;4367 Wilhelmus Luxemburg ( 1929-2018) 111;1107 Sibe Mardešic ( 1927-2016) 159;1130 Albert Nijenhuis ( 1926-2015) 61;1054 Vera Pless ( 1931-2020) 101;2248 MaryEllen Rudin ( 1924-2013) 87;791 VictorL Shapiro ( 1924-2013) 99;239 Hans Weinberger ( 1928-2017) 115;6664 Harold Widom ( 1932-2021) 167;4066 There were, 9, fellows who died at the age of, 88 William Bade ( 1924-2012) 35;426 RichardL Bishop ( 1931-2019) 49;1173 Solomon Feferman ( 1928-2016) 29;1146 RonaldK Getoor ( 1929-2017) 106;1850 Heini Halberstam ( 1926-2014) 81;1086 JamesM Kister ( 1930-2018) 19;142 CaroleB Lacampagne ( 1933-2021) 11;12 ErnestA Michael ( 1925-2013) 102;2845 ConjeeveramSrirangachari Seshadri ( 1932-2020) 69;1726 There were, 6, fellows who died at the age of, 87 ElliottWardJr Cheney ( 1929-2016) 105;1642 Robert Ellis ( 1926-2013) 41;978 John Hempel ( 1935-2022) 31;1211 JohnFJr Nash ( 1928-2015) 29;3185 RobertR Phelps ( 1926-2013) 71;2519 EliasM Stein ( 1931-2018) 237;27492 There were, 6, fellows who died at the age of, 86 Richard Askey ( 1933-2019) 163;4802 DonaldL Burkholder ( 1927-2013) 57;2165 PierreEJr Conner ( 1932-2018) 71;1118 Louis Howard ( 1929-2015) 42;275 Rudolf Kalman ( 1930-2016) 66;1826 Ray Kunze ( 1928-2014) 46;452 There were, 5, fellows who died at the age of, 85 Roy Adler ( 1931-2016) 47;1231 Peter Duren ( 1935-2020) 126;4490 Ronald Graham ( 1935-2020) 363;7500 András Hajnal ( 1931-2016) 164;2116 Harry Kesten ( 1931-2016) 193;4772 There were, 9, fellows who died at the age of, 84 Donald Babbitt ( 1936-2020) 31;161 RobertJ Blattner ( 1931-2015) 23;336 HaroldM Edwards ( 1936-2020) 46;542 EdwardG Effros ( 1935-2019) 82;3484 Paul Fife ( 1930-2014) 118;3509 Solomon Golomb ( 1932-2016) 146;1497 JacquesJeanPierre Neveu ( 1932-2016) 74;1172 RobertT Seeley ( 1932-2016) 53;1510 Henry Wente ( 1936-2020) 34;526 There were, 6, fellows who died at the age of, 83 JMichael Boardman ( 1938-2021) 26;781 WWistar Comfort ( 1933-2016) 153;1746 Richard Pollack ( 1935-2018) 81;1658 CharlesJ Stone ( 1936-2019) 79;2604 JosephF Traub ( 1932-2015) 78;1509 AlphonseT Vasquez ( 1938-2021) 27;133 There were, 7, fellows who died at the age of, 82 Shreeram Abhyankar ( 1930-2012) 190;2111 RichardM Dudley ( 1938-2020) 138;2776 CliffordJohnJr Earle ( 1935-2017) 84;1507 Mark Mahowald ( 1931-2013) 164;1281 Edward Nelson ( 1932-2014) 64;2035 JoelA Smoller ( 1935-2017) 181;4096 VeeravalliS Varadarajan ( 1937-2019) 149;2336 There were, 5, fellows who died at the age of, 81 KennethI Appel ( 1932-2013) 31;873 Gilbert Baumslag ( 1933-2014) 166;1937 Samuel Gitler ( 1933-2014) 67;560 Lars Hörmander ( 1931-2012) 159;15121 AderemiOluyomi Kuku ( 1941-2022) 39;121 There were, 5, fellows who died at the age of, 80 RonaldG Douglas ( 1938-2018) 168;3732 RobertM Miura ( 1938-2018) 49;1370 PaulJJr Sally ( 1933-2013) 37;281 CharlesC Sims ( 1937-2017) 33;503 Myles Tierney ( 1937-2017) 23;428 There were, 5, fellows who died at the age of, 79 Alan Baker ( 1939-2018) 65;1596 Elwyn Berlekamp ( 1940-2019) 70;1550 Aldridge Bousfield ( 1941-2020) 48;2563 KennethI Gross ( 1938-2017) 34;181 LesleyM Sibner ( 1934-2013) 29;157 There were, 4, fellows who died at the age of, 78 JoyceR McLaughlin ( 1939-2017) 61;914 GeorgeR Sell ( 1937-2015) 132;4068 Robert Strichartz ( 1943-2021) 189;4633 WilliamA Veech ( 1938-2016) 66;1891 There were, 2, fellows who died at the age of, 77 David Cantor ( 1935-2012) 45;451 Lawrence Shepp ( 1936-2013) 175;2137 There were, 4, fellows who died at the age of, 76 FrederickR Cohen ( 1946-2022) 136;1781 VladimirF Demyanov ( 1938-2014) 183;1309 PeterM Gruber ( 1941-2017) 107;1867 ThomasM Liggett ( 1944-2020) 106;3918 There were, 3, fellows who died at the age of, 75 Paul Chernoff ( 1942-2017) 42;658 SamuelMIII Rankin ( 1945-2020) 25;145 ClarenceWJr Wilkerson ( 1944-2019) 47;749 There were, 4, fellows who died at the age of, 74 ColinJ Bushnell ( 1947-2021) 77;1624 Anatole Katok ( 1944-2018) 122;6030 LynnArthur Steen ( 1941-2015) 18;341 JanC Willems ( 1939-2013) 186;2677 There were, 2, fellows who died at the age of, 73 Georgia Benkart ( 1949-2022) 133;1692 OscarEIII Lanford ( 1940-2013) 50;734 There were, 1, fellows who died at the age of, 72 AndrewJ Majda ( 1949-2021) 323;11987 There were, 1, fellows who died at the age of, 70 StevenM Zucker ( 1949-2019) 55;756 There were, 1, fellows who died at the age of, 68 VaughanFR Jones ( 1952-2020) 117;3924 There were, 3, fellows who died at the age of, 66 Walter Craig ( 1953-2019) 84;2084 StephenA Mitchell ( 1951-2017) 39;366 Edward Odell ( 1947-2013) 92;1337 There were, 2, fellows who died at the age of, 65 JonathanMichael Borwein ( 1951-2016) 453;9810 David Goss ( 1952-2017) 46;882 There were, 1, fellows who died at the age of, 63 LynneH Walling ( 1958-2021) 40;101 There were, 1, fellows who died at the age of, 60 AndreiV Zelevinsky ( 1953-2013) 113;8482 There were, 2, fellows who died at the age of, 59 TimD Cochran ( 1955-2014) 57;1265 John Roe ( 1959-2018) 48;2116 There were, 2, fellows who died at the age of, 58 Nikolai Chernov ( 1956-2014) 111;1859 Robin Thomas ( 1962-2020) 122;2898 There were, 1, fellows who died at the age of, 48 Thomas Nevins ( 1972-2020) 24;173 ------------------------------------- Chapter II: Analysis of Number of Publications Statistical Analysis of Number of Publications of Fellows of the American Ma\ thematical Sociecty who Died Before Aug. 2022 145, AMS Fellows died between its inauguration in 2013 and Aug. 2022. In this chapter we statistically analyze their number of publications listed\ at MathSciNet, viewed Sept. 2022 The average number of publications is , 98.53103447 The standard deviation is, 73.94220062 The skewness is, 1.757634806 The kurtosis is, 7.177930310 The scaled, 5, moment is, 26.91931251 The scaled, 6, moment is, 113.6672615 The scaled, 7, moment is, 495.5581489 The scaled, 8, moment is, 2230.782762 The scaled, 9, moment is, 10235.02010 The scaled, 10, moment is, 47599.39138 The Number of Publication generating function, with the variable t is 453 363 323 321 288 271 269 237 222 200 193 t + t + t + t + t + t + t + t + t + t + t 190 189 186 183 182 181 180 178 175 168 + t + t + t + t + t + t + t + t + 2 t + t 167 166 164 163 159 153 149 146 138 136 + t + t + 2 t + t + 2 t + t + t + t + t + t 133 132 126 122 118 117 115 114 113 + t + t + t + 2 t + 2 t + t + t + 2 t + t 111 110 107 106 105 102 101 99 96 95 + 2 t + t + t + 2 t + 2 t + t + t + 2 t + t + t 93 92 90 89 87 86 84 82 81 79 78 + t + t + t + t + 2 t + t + 2 t + 2 t + 2 t + t + t 77 75 74 71 70 69 67 66 65 64 61 + t + t + t + 2 t + 2 t + t + t + 3 t + t + t + 2 t 59 58 57 55 53 50 49 48 47 46 + 2 t + t + 3 t + t + t + t + 2 t + 2 t + 2 t + 4 t 45 42 41 40 39 37 36 35 34 33 + t + 2 t + t + t + 3 t + 3 t + t + t + 2 t + t 31 29 27 26 25 24 23 19 18 17 + 3 t + 3 t + 2 t + t + t + t + 2 t + 2 t + t + t 11 5 + t + t and in Maple notation t^453+t^363+t^323+t^321+t^288+t^271+t^269+t^237+t^222+t^200+t^193+t^190+t^189+t ^186+t^183+t^182+t^181+t^180+t^178+2*t^175+t^168+t^167+t^166+2*t^164+t^163+2*t^ 159+t^153+t^149+t^146+t^138+t^136+t^133+t^132+t^126+2*t^122+2*t^118+t^117+t^115 +2*t^114+t^113+2*t^111+t^110+t^107+2*t^106+2*t^105+t^102+t^101+2*t^99+t^96+t^95 +t^93+t^92+t^90+t^89+2*t^87+t^86+2*t^84+2*t^82+2*t^81+t^79+t^78+t^77+t^75+t^74+ 2*t^71+2*t^70+t^69+t^67+3*t^66+t^65+t^64+2*t^61+2*t^59+t^58+3*t^57+t^55+t^53+t^ 50+2*t^49+2*t^48+2*t^47+4*t^46+t^45+2*t^42+t^41+t^40+3*t^39+3*t^37+t^36+t^35+2* t^34+t^33+3*t^31+3*t^29+2*t^27+t^26+t^25+t^24+2*t^23+2*t^19+t^18+t^17+t^11+t^5 The median number of publications is, 81 Here is the list of all, 145, dead AMS fellows in decreasing order of their n\ umber of publications. It lists the year of birth, year of death, number\ of publications, and number of citations 1. JonathanMichael Borwein ( 1951-2016) 453;9810 2. Ronald Graham ( 1935-2020) 363;7500 3. AndrewJ Majda ( 1949-2021) 323;11987 4. JosephB Keller ( 1923-2016) 321;3655 5. Jean-Pierre Kahane ( 1926-2017) 288;2639 6. Branko Grunbaum ( 1929-2018) 271;3814 7. SirMichael Atiyah ( 1929-2019) 269;12281 8. EliasM Stein ( 1931-2018) 237;27492 9. EugeneB Dynkin ( 1924-2014) 222;2851 10. FelixE Browder ( 1927-2016) 200;4743 11. Harry Kesten ( 1931-2016) 193;4772 12. Shreeram Abhyankar ( 1930-2012) 190;2111 13. Robert Strichartz ( 1943-2021) 189;4633 14. JanC Willems ( 1939-2013) 186;2677 15. VladimirF Demyanov ( 1938-2014) 183;1309 16. DonaldAS Fraser ( 1925-2020) 182;400 17. JoelA Smoller ( 1935-2017) 181;4096 18. JimJr Douglas ( 1927-2016) 180;5937 19. Murray Rosenblatt ( 1926-2019) 178;2128 20. Lawrence Shepp ( 1936-2013) 175;2137 21. Louis Nirenberg ( 1925-2020) 175;17621 22. RonaldG Douglas ( 1938-2018) 168;3732 23. Harold Widom ( 1932-2021) 167;4066 24. Gilbert Baumslag ( 1933-2014) 166;1937 25. Mark Mahowald ( 1931-2013) 164;1281 26. András Hajnal ( 1931-2016) 164;2116 27. Richard Askey ( 1933-2019) 163;4802 28. Sibe Mardešic ( 1927-2016) 159;1130 29. Lars Hörmander ( 1931-2012) 159;15121 30. WWistar Comfort ( 1933-2016) 153;1746 31. VeeravalliS Varadarajan ( 1937-2019) 149;2336 32. Solomon Golomb ( 1932-2016) 146;1497 33. RichardM Dudley ( 1938-2020) 138;2776 34. FrederickR Cohen ( 1946-2022) 136;1781 35. Georgia Benkart ( 1949-2022) 133;1692 36. GeorgeR Sell ( 1937-2015) 132;4068 37. Peter Duren ( 1935-2020) 126;4490 38. Robin Thomas ( 1962-2020) 122;2898 39. Anatole Katok ( 1944-2018) 122;6030 40. Paul Fife ( 1930-2014) 118;3509 41. Harvey Cohn ( 1923-2014) 118;664 42. VaughanFR Jones ( 1952-2020) 117;3924 43. Hans Weinberger ( 1928-2017) 115;6664 44. Guido Weiss ( 1928-2021) 114;8722 45. Bertram Kostant ( 1928-2017) 114;4367 46. AndreiV Zelevinsky ( 1953-2013) 113;8482 47. Wilhelmus Luxemburg ( 1929-2018) 111;1107 48. Nikolai Chernov ( 1956-2014) 111;1859 49. ManfredoP doCarmo ( 1928-2018) 110;3685 50. PeterM Gruber ( 1941-2017) 107;1867 51. ThomasM Liggett ( 1944-2020) 106;3918 52. RonaldK Getoor ( 1929-2017) 106;1850 53. RichardV Kadison ( 1925-2018) 105;3633 54. ElliottWardJr Cheney ( 1929-2016) 105;1642 55. ErnestA Michael ( 1925-2013) 102;2845 56. Vera Pless ( 1931-2020) 101;2248 57. VictorL Shapiro ( 1924-2013) 99;239 58. Herman Rubin ( 1926-2018) 99;498 59. IsadoreM Singer ( 1924-2021) 96;5215 60. JohnT Tate ( 1925-2019) 95;5626 61. MauriceH Heins ( 1915-2015) 93;401 62. Edward Odell ( 1947-2013) 92;1337 63. Bjarni Jonsson ( 1920-2016) 90;1632 64. Junichi Igusa ( 1924-2013) 89;1610 65. MaryEllen Rudin ( 1924-2013) 87;791 66. TomM Apostol ( 1923-2016) 87;2886 67. Lee Lorch ( 1915-2014) 86;272 68. CliffordJohnJr Earle ( 1935-2017) 84;1507 69. Walter Craig ( 1953-2019) 84;2084 70. CathleenSynge Morawetz ( 1923-2017) 82;1295 71. EdwardG Effros ( 1935-2019) 82;3484 72. Richard Pollack ( 1935-2018) 81;1658 73. Heini Halberstam ( 1926-2014) 81;1086 74. CharlesJ Stone ( 1936-2019) 79;2604 75. JosephF Traub ( 1932-2015) 78;1509 76. ColinJ Bushnell ( 1947-2021) 77;1624 77. Komaravolu Chandrasekharan ( 1920-2017) 75;778 78. JacquesJeanPierre Neveu ( 1932-2016) 74;1172 79. RobertR Phelps ( 1926-2013) 71;2519 80. PierreEJr Conner ( 1932-2018) 71;1118 81. LloydStowell Shapley ( 1923-2016) 70;4107 82. Elwyn Berlekamp ( 1940-2019) 70;1550 83. ConjeeveramSrirangachari Seshadri ( 1932-2020) 69;1726 84. Samuel Gitler ( 1933-2014) 67;560 85. WilliamA Veech ( 1938-2016) 66;1891 86. Rudolf Kalman ( 1930-2016) 66;1826 87. Jane CroninScanlon ( 1922-2018) 66;206 88. Alan Baker ( 1939-2018) 65;1596 89. Edward Nelson ( 1932-2014) 64;2035 90. Albert Nijenhuis ( 1926-2015) 61;1054 91. JoyceR McLaughlin ( 1939-2017) 61;914 92. Walter Noll ( 1925-2017) 59;1601 93. Edward Fadell ( 1926-2018) 59;1065 94. EdgarH Brown ( 1926-2021) 58;586 95. Isaac Namioka ( 1928-2019) 57;1183 96. TimD Cochran ( 1955-2014) 57;1265 97. DonaldL Burkholder ( 1927-2013) 57;2165 98. StevenM Zucker ( 1949-2019) 55;756 99. RobertT Seeley ( 1932-2016) 53;1510 100. OscarEIII Lanford ( 1940-2013) 50;734 101. RobertM Miura ( 1938-2018) 49;1370 102. RichardL Bishop ( 1931-2019) 49;1173 103. John Roe ( 1959-2018) 48;2116 104. Aldridge Bousfield ( 1941-2020) 48;2563 105. ClarenceWJr Wilkerson ( 1944-2019) 47;749 106. Roy Adler ( 1931-2016) 47;1231 107. RichardD Schafer ( 1918-2014) 46;712 108. Ray Kunze ( 1928-2014) 46;452 109. David Goss ( 1952-2017) 46;882 110. HaroldM Edwards ( 1936-2020) 46;542 111. David Cantor ( 1935-2012) 45;451 112. Louis Howard ( 1929-2015) 42;275 113. Paul Chernoff ( 1942-2017) 42;658 114. Robert Ellis ( 1926-2013) 41;978 115. LynneH Walling ( 1958-2021) 40;101 116. Maurice Sion ( 1927-2018) 39;525 117. StephenA Mitchell ( 1951-2017) 39;366 118. AderemiOluyomi Kuku ( 1941-2022) 39;121 119. PaulJJr Sally ( 1933-2013) 37;281 120. JohnC Moore ( 1923-2016) 37;1254 121. Steve Armentrout ( 1930-2020) 37;145 122. Howard Osborn ( 1928-2019) 36;52 123. William Bade ( 1924-2012) 35;426 124. Henry Wente ( 1936-2020) 34;526 125. KennethI Gross ( 1938-2017) 34;181 126. CharlesC Sims ( 1937-2017) 33;503 127. John Hempel ( 1935-2022) 31;1211 128. Donald Babbitt ( 1936-2020) 31;161 129. KennethI Appel ( 1932-2013) 31;873 130. LesleyM Sibner ( 1934-2013) 29;157 131. JohnFJr Nash ( 1928-2015) 29;3185 132. Solomon Feferman ( 1928-2016) 29;1146 133. JohnH Walter ( 1927-2021) 27;214 134. AlphonseT Vasquez ( 1938-2021) 27;133 135. JMichael Boardman ( 1938-2021) 26;781 136. SamuelMIII Rankin ( 1945-2020) 25;145 137. Thomas Nevins ( 1972-2020) 24;173 138. Myles Tierney ( 1937-2017) 23;428 139. RobertJ Blattner ( 1931-2015) 23;336 140. JamesM Kister ( 1930-2018) 19;142 141. ArthurHerbert Copeland ( 1926-2019) 19;41 142. LynnArthur Steen ( 1941-2015) 18;341 143. ArthurP Mattuck ( 1930-2021) 17;152 144. CaroleB Lacampagne ( 1933-2021) 11;12 145. LidaK Barrett ( 1927-2021) 5;2 ------------------------------------- Chapter III: Analysis of Number of Citations Statistical Analysis of The Number of Citations of Fellows of the American\ Mathematical Sociecty who Died Before Aug. 2022 145, AMS Fellows died between its inauguration in 2013 and Aug. 2022. In this chapter we statistically analyze their number of citations listed at\ MathSciNet, viewed Sept. 2022 The average number of citations is , 2473.234485 The standard deviation is, 3455.194213 The skewness is, 3.970135833 The kurtosis is, 23.99328743 The scaled, 5, moment is, 155.9407254 The scaled, 6, moment is, 1067.378805 The scaled, 7, moment is, 7493.727083 The scaled, 8, moment is, 53336.68080 The scaled, 9, moment is, 382468.2938 7 The scaled, 10, moment is, 0.2754028928 10 The Number of Citations generating function, with the variable t is 27492 17621 15121 12281 11987 9810 8722 8482 7500 t + t + t + t + t + t + t + t + t 6664 6030 5937 5626 5215 4802 4772 4743 4633 + t + t + t + t + t + t + t + t + t 4490 4367 4107 4096 4068 4066 3924 3918 3814 + t + t + t + t + t + t + t + t + t 3732 3685 3655 3633 3509 3484 3185 2898 2886 + t + t + t + t + t + t + t + t + t 2851 2845 2776 2677 2639 2604 2563 2519 2336 + t + t + t + t + t + t + t + t + t 2248 2165 2137 2128 2116 2111 2084 2035 1937 + t + t + t + t + 2 t + t + t + t + t 1891 1867 1859 1850 1826 1781 1746 1726 1692 + t + t + t + t + t + t + t + t + t 1658 1642 1632 1624 1610 1601 1596 1550 1510 + t + t + t + t + t + t + t + t + t 1509 1507 1497 1370 1337 1309 1295 1281 1265 + t + t + t + t + t + t + t + t + t 1254 1231 1211 1183 1173 1172 1146 1130 1118 + t + t + t + t + t + t + t + t + t 1107 1086 1065 1054 978 914 882 873 791 781 + t + t + t + t + t + t + t + t + t + t 778 756 749 734 712 664 658 586 560 542 + t + t + t + t + t + t + t + t + t + t 526 525 503 498 452 451 428 426 401 400 + t + t + t + t + t + t + t + t + t + t 366 341 336 281 275 272 239 214 206 181 + t + t + t + t + t + t + t + t + t + t 173 161 157 152 145 142 133 121 101 52 + t + t + t + t + 2 t + t + t + t + t + t 41 12 2 + t + t + t and in Maple notation t^27492+t^17621+t^15121+t^12281+t^11987+t^9810+t^8722+t^8482+t^7500+t^6664+t^ 6030+t^5937+t^5626+t^5215+t^4802+t^4772+t^4743+t^4633+t^4490+t^4367+t^4107+t^ 4096+t^4068+t^4066+t^3924+t^3918+t^3814+t^3732+t^3685+t^3655+t^3633+t^3509+t^ 3484+t^3185+t^2898+t^2886+t^2851+t^2845+t^2776+t^2677+t^2639+t^2604+t^2563+t^ 2519+t^2336+t^2248+t^2165+t^2137+t^2128+2*t^2116+t^2111+t^2084+t^2035+t^1937+t^ 1891+t^1867+t^1859+t^1850+t^1826+t^1781+t^1746+t^1726+t^1692+t^1658+t^1642+t^ 1632+t^1624+t^1610+t^1601+t^1596+t^1550+t^1510+t^1509+t^1507+t^1497+t^1370+t^ 1337+t^1309+t^1295+t^1281+t^1265+t^1254+t^1231+t^1211+t^1183+t^1173+t^1172+t^ 1146+t^1130+t^1118+t^1107+t^1086+t^1065+t^1054+t^978+t^914+t^882+t^873+t^791+t^ 781+t^778+t^756+t^749+t^734+t^712+t^664+t^658+t^586+t^560+t^542+t^526+t^525+t^ 503+t^498+t^452+t^451+t^428+t^426+t^401+t^400+t^366+t^341+t^336+t^281+t^275+t^ 272+t^239+t^214+t^206+t^181+t^173+t^161+t^157+t^152+2*t^145+t^142+t^133+t^121+t ^101+t^52+t^41+t^12+t^2 and in Maple notation t^27492+t^17621+t^15121+t^12281+t^11987+t^9810+t^8722+t^8482+t^7500+t^6664+t^ 6030+t^5937+t^5626+t^5215+t^4802+t^4772+t^4743+t^4633+t^4490+t^4367+t^4107+t^ 4096+t^4068+t^4066+t^3924+t^3918+t^3814+t^3732+t^3685+t^3655+t^3633+t^3509+t^ 3484+t^3185+t^2898+t^2886+t^2851+t^2845+t^2776+t^2677+t^2639+t^2604+t^2563+t^ 2519+t^2336+t^2248+t^2165+t^2137+t^2128+2*t^2116+t^2111+t^2084+t^2035+t^1937+t^ 1891+t^1867+t^1859+t^1850+t^1826+t^1781+t^1746+t^1726+t^1692+t^1658+t^1642+t^ 1632+t^1624+t^1610+t^1601+t^1596+t^1550+t^1510+t^1509+t^1507+t^1497+t^1370+t^ 1337+t^1309+t^1295+t^1281+t^1265+t^1254+t^1231+t^1211+t^1183+t^1173+t^1172+t^ 1146+t^1130+t^1118+t^1107+t^1086+t^1065+t^1054+t^978+t^914+t^882+t^873+t^791+t^ 781+t^778+t^756+t^749+t^734+t^712+t^664+t^658+t^586+t^560+t^542+t^526+t^525+t^ 503+t^498+t^452+t^451+t^428+t^426+t^401+t^400+t^366+t^341+t^336+t^281+t^275+t^ 272+t^239+t^214+t^206+t^181+t^173+t^161+t^157+t^152+2*t^145+t^142+t^133+t^121+t ^101+t^52+t^41+t^12+t^2 The median number of publications is, 1510 Here is the list of all, 145, dead AMS fellows in decreasing order of their n\ umber of citations. It lists the year of birth, year of death, number of\ publications, and number of citations 1. EliasM Stein ( 1931-2018) 237;27492 2. Louis Nirenberg ( 1925-2020) 175;17621 3. Lars Hörmander ( 1931-2012) 159;15121 4. SirMichael Atiyah ( 1929-2019) 269;12281 5. AndrewJ Majda ( 1949-2021) 323;11987 6. JonathanMichael Borwein ( 1951-2016) 453;9810 7. Guido Weiss ( 1928-2021) 114;8722 8. AndreiV Zelevinsky ( 1953-2013) 113;8482 9. Ronald Graham ( 1935-2020) 363;7500 10. Hans Weinberger ( 1928-2017) 115;6664 11. Anatole Katok ( 1944-2018) 122;6030 12. JimJr Douglas ( 1927-2016) 180;5937 13. JohnT Tate ( 1925-2019) 95;5626 14. IsadoreM Singer ( 1924-2021) 96;5215 15. Richard Askey ( 1933-2019) 163;4802 16. Harry Kesten ( 1931-2016) 193;4772 17. FelixE Browder ( 1927-2016) 200;4743 18. Robert Strichartz ( 1943-2021) 189;4633 19. Peter Duren ( 1935-2020) 126;4490 20. Bertram Kostant ( 1928-2017) 114;4367 21. LloydStowell Shapley ( 1923-2016) 70;4107 22. JoelA Smoller ( 1935-2017) 181;4096 23. GeorgeR Sell ( 1937-2015) 132;4068 24. Harold Widom ( 1932-2021) 167;4066 25. VaughanFR Jones ( 1952-2020) 117;3924 26. ThomasM Liggett ( 1944-2020) 106;3918 27. Branko Grunbaum ( 1929-2018) 271;3814 28. RonaldG Douglas ( 1938-2018) 168;3732 29. ManfredoP doCarmo ( 1928-2018) 110;3685 30. JosephB Keller ( 1923-2016) 321;3655 31. RichardV Kadison ( 1925-2018) 105;3633 32. Paul Fife ( 1930-2014) 118;3509 33. EdwardG Effros ( 1935-2019) 82;3484 34. JohnFJr Nash ( 1928-2015) 29;3185 35. Robin Thomas ( 1962-2020) 122;2898 36. TomM Apostol ( 1923-2016) 87;2886 37. EugeneB Dynkin ( 1924-2014) 222;2851 38. ErnestA Michael ( 1925-2013) 102;2845 39. RichardM Dudley ( 1938-2020) 138;2776 40. JanC Willems ( 1939-2013) 186;2677 41. Jean-Pierre Kahane ( 1926-2017) 288;2639 42. CharlesJ Stone ( 1936-2019) 79;2604 43. Aldridge Bousfield ( 1941-2020) 48;2563 44. RobertR Phelps ( 1926-2013) 71;2519 45. VeeravalliS Varadarajan ( 1937-2019) 149;2336 46. Vera Pless ( 1931-2020) 101;2248 47. DonaldL Burkholder ( 1927-2013) 57;2165 48. Lawrence Shepp ( 1936-2013) 175;2137 49. Murray Rosenblatt ( 1926-2019) 178;2128 50. John Roe ( 1959-2018) 48;2116 51. András Hajnal ( 1931-2016) 164;2116 52. Shreeram Abhyankar ( 1930-2012) 190;2111 53. Walter Craig ( 1953-2019) 84;2084 54. Edward Nelson ( 1932-2014) 64;2035 55. Gilbert Baumslag ( 1933-2014) 166;1937 56. WilliamA Veech ( 1938-2016) 66;1891 57. PeterM Gruber ( 1941-2017) 107;1867 58. Nikolai Chernov ( 1956-2014) 111;1859 59. RonaldK Getoor ( 1929-2017) 106;1850 60. Rudolf Kalman ( 1930-2016) 66;1826 61. FrederickR Cohen ( 1946-2022) 136;1781 62. WWistar Comfort ( 1933-2016) 153;1746 63. ConjeeveramSrirangachari Seshadri ( 1932-2020) 69;1726 64. Georgia Benkart ( 1949-2022) 133;1692 65. Richard Pollack ( 1935-2018) 81;1658 66. ElliottWardJr Cheney ( 1929-2016) 105;1642 67. Bjarni Jonsson ( 1920-2016) 90;1632 68. ColinJ Bushnell ( 1947-2021) 77;1624 69. Junichi Igusa ( 1924-2013) 89;1610 70. Walter Noll ( 1925-2017) 59;1601 71. Alan Baker ( 1939-2018) 65;1596 72. Elwyn Berlekamp ( 1940-2019) 70;1550 73. RobertT Seeley ( 1932-2016) 53;1510 74. JosephF Traub ( 1932-2015) 78;1509 75. CliffordJohnJr Earle ( 1935-2017) 84;1507 76. Solomon Golomb ( 1932-2016) 146;1497 77. RobertM Miura ( 1938-2018) 49;1370 78. Edward Odell ( 1947-2013) 92;1337 79. VladimirF Demyanov ( 1938-2014) 183;1309 80. CathleenSynge Morawetz ( 1923-2017) 82;1295 81. Mark Mahowald ( 1931-2013) 164;1281 82. TimD Cochran ( 1955-2014) 57;1265 83. JohnC Moore ( 1923-2016) 37;1254 84. Roy Adler ( 1931-2016) 47;1231 85. John Hempel ( 1935-2022) 31;1211 86. Isaac Namioka ( 1928-2019) 57;1183 87. RichardL Bishop ( 1931-2019) 49;1173 88. JacquesJeanPierre Neveu ( 1932-2016) 74;1172 89. Solomon Feferman ( 1928-2016) 29;1146 90. Sibe Mardešic ( 1927-2016) 159;1130 91. PierreEJr Conner ( 1932-2018) 71;1118 92. Wilhelmus Luxemburg ( 1929-2018) 111;1107 93. Heini Halberstam ( 1926-2014) 81;1086 94. Edward Fadell ( 1926-2018) 59;1065 95. Albert Nijenhuis ( 1926-2015) 61;1054 96. Robert Ellis ( 1926-2013) 41;978 97. JoyceR McLaughlin ( 1939-2017) 61;914 98. David Goss ( 1952-2017) 46;882 99. KennethI Appel ( 1932-2013) 31;873 100. MaryEllen Rudin ( 1924-2013) 87;791 101. JMichael Boardman ( 1938-2021) 26;781 102. Komaravolu Chandrasekharan ( 1920-2017) 75;778 103. StevenM Zucker ( 1949-2019) 55;756 104. ClarenceWJr Wilkerson ( 1944-2019) 47;749 105. OscarEIII Lanford ( 1940-2013) 50;734 106. RichardD Schafer ( 1918-2014) 46;712 107. Harvey Cohn ( 1923-2014) 118;664 108. Paul Chernoff ( 1942-2017) 42;658 109. EdgarH Brown ( 1926-2021) 58;586 110. Samuel Gitler ( 1933-2014) 67;560 111. HaroldM Edwards ( 1936-2020) 46;542 112. Henry Wente ( 1936-2020) 34;526 113. Maurice Sion ( 1927-2018) 39;525 114. CharlesC Sims ( 1937-2017) 33;503 115. Herman Rubin ( 1926-2018) 99;498 116. Ray Kunze ( 1928-2014) 46;452 117. David Cantor ( 1935-2012) 45;451 118. Myles Tierney ( 1937-2017) 23;428 119. William Bade ( 1924-2012) 35;426 120. MauriceH Heins ( 1915-2015) 93;401 121. DonaldAS Fraser ( 1925-2020) 182;400 122. StephenA Mitchell ( 1951-2017) 39;366 123. LynnArthur Steen ( 1941-2015) 18;341 124. RobertJ Blattner ( 1931-2015) 23;336 125. PaulJJr Sally ( 1933-2013) 37;281 126. Louis Howard ( 1929-2015) 42;275 127. Lee Lorch ( 1915-2014) 86;272 128. VictorL Shapiro ( 1924-2013) 99;239 129. JohnH Walter ( 1927-2021) 27;214 130. Jane CroninScanlon ( 1922-2018) 66;206 131. KennethI Gross ( 1938-2017) 34;181 132. Thomas Nevins ( 1972-2020) 24;173 133. Donald Babbitt ( 1936-2020) 31;161 134. LesleyM Sibner ( 1934-2013) 29;157 135. ArthurP Mattuck ( 1930-2021) 17;152 136. SamuelMIII Rankin ( 1945-2020) 25;145 137. Steve Armentrout ( 1930-2020) 37;145 138. JamesM Kister ( 1930-2018) 19;142 139. AlphonseT Vasquez ( 1938-2021) 27;133 140. AderemiOluyomi Kuku ( 1941-2022) 39;121 141. LynneH Walling ( 1958-2021) 40;101 142. Howard Osborn ( 1928-2019) 36;52 143. ArthurHerbert Copeland ( 1926-2019) 19;41 144. CaroleB Lacampagne ( 1933-2021) 11;12 145. LidaK Barrett ( 1927-2021) 5;2 ------------------------------------- Chapter IV: Correlation The joint generation function with variables a,p,c for age at death, number \ of publication, and number of citations is 93 401 100 86 272 99 5215 96 778 75 97 p c a + p c a + (c p + c p ) a 1632 90 712 46 206 66 96 + (c p + c p + c p ) a 17621 175 586 58 400 182 95 + (c p + c p + c p ) a 5626 95 1295 82 214 27 2 5 94 8722 114 4107 70 + (c p + c p + c p + c p ) a + (c p + c p 3655 321 3633 105 2886 87 2128 178 1254 37 41 19 + c p + c p + c p + c p + c p + c p ) 93 1601 59 1065 59 498 99 92 a + (c p + c p + c p ) a 2639 288 1183 57 664 118 525 39 152 17 52 36 91 + (c p + c p + c p + c p + c p + c p ) a 12281 269 3685 110 2851 222 145 37 90 6664 115 + (c p + c p + c p + c p ) a + (c p 5937 180 4743 200 4367 114 4066 167 3814 271 + c p + c p + c p + c p + c p 2248 101 1610 89 1130 159 1107 111 1054 61 791 87 + c p + c p + c p + c p + c p + c p 239 99 89 2845 102 1850 106 1726 69 1173 49 + c p ) a + (c p + c p + c p + c p 1146 29 1086 81 426 35 142 19 12 11 88 + c p + c p + c p + c p + c p ) a + 27492 237 3185 29 2519 71 1642 105 1211 31 978 41 (c p + c p + c p + c p + c p + c p ) 87 a + 4802 163 2165 57 1826 66 1118 71 452 46 275 42 86 (c p + c p + c p + c p + c p + c p ) a 7500 363 4772 193 4490 126 2116 164 1231 47 85 + (c p + c p + c p + c p + c p ) a + ( 3509 118 3484 82 1497 146 1510 53 1172 74 542 46 c p + c p + c p + c p + c p + c p 526 34 336 23 161 31 84 + c p + c p + c p ) a + 2604 79 1746 153 1658 81 1509 78 781 26 133 27 83 (c p + c p + c p + c p + c p + c p ) a 4096 181 2776 138 2336 149 2111 190 2035 64 + (c p + c p + c p + c p + c p 1507 84 1281 164 82 + c p + c p ) a 15121 159 1937 166 873 31 560 67 121 39 81 + (c p + c p + c p + c p + c p ) a 3732 168 1370 49 503 33 428 23 281 37 80 + (c p + c p + c p + c p + c p ) a 2563 48 1596 65 1550 70 181 34 157 29 79 + (c p + c p + c p + c p + c p ) a 4633 189 4068 132 1891 66 914 61 78 + (c p + c p + c p + c p ) a 2137 175 451 45 77 + (c p + c p ) a 3918 106 1867 107 1781 136 1309 183 76 + (c p + c p + c p + c p ) a 749 47 658 42 145 25 75 + (c p + c p + c p ) a 6030 122 2677 186 1624 77 341 18 74 + (c p + c p + c p + c p ) a 1692 133 734 50 73 323 11987 72 55 756 70 + (c p + c p ) a + p c a + p c a 117 3924 68 2084 84 1337 92 366 39 66 + p c a + (c p + c p + c p ) a 9810 453 882 46 65 40 101 63 113 8482 60 + (c p + c p ) a + p c a + p c a 2116 48 1265 57 59 2898 122 1859 111 58 + (c p + c p ) a + (c p + c p ) a 24 173 48 + p c a and in Maple notation p^93*c^401*a^100+p^86*c^272*a^99+(c^5215*p^96+c^778*p^75)*a^97+(c^1632*p^90+c^ 712*p^46+c^206*p^66)*a^96+(c^17621*p^175+c^586*p^58+c^400*p^182)*a^95+(c^5626*p ^95+c^1295*p^82+c^214*p^27+c^2*p^5)*a^94+(c^8722*p^114+c^4107*p^70+c^3655*p^321 +c^3633*p^105+c^2886*p^87+c^2128*p^178+c^1254*p^37+c^41*p^19)*a^93+(c^1601*p^59 +c^1065*p^59+c^498*p^99)*a^92+(c^2639*p^288+c^1183*p^57+c^664*p^118+c^525*p^39+ c^152*p^17+c^52*p^36)*a^91+(c^12281*p^269+c^3685*p^110+c^2851*p^222+c^145*p^37) *a^90+(c^6664*p^115+c^5937*p^180+c^4743*p^200+c^4367*p^114+c^4066*p^167+c^3814* p^271+c^2248*p^101+c^1610*p^89+c^1130*p^159+c^1107*p^111+c^1054*p^61+c^791*p^87 +c^239*p^99)*a^89+(c^2845*p^102+c^1850*p^106+c^1726*p^69+c^1173*p^49+c^1146*p^ 29+c^1086*p^81+c^426*p^35+c^142*p^19+c^12*p^11)*a^88+(c^27492*p^237+c^3185*p^29 +c^2519*p^71+c^1642*p^105+c^1211*p^31+c^978*p^41)*a^87+(c^4802*p^163+c^2165*p^ 57+c^1826*p^66+c^1118*p^71+c^452*p^46+c^275*p^42)*a^86+(c^7500*p^363+c^4772*p^ 193+c^4490*p^126+c^2116*p^164+c^1231*p^47)*a^85+(c^3509*p^118+c^3484*p^82+c^ 1497*p^146+c^1510*p^53+c^1172*p^74+c^542*p^46+c^526*p^34+c^336*p^23+c^161*p^31) *a^84+(c^2604*p^79+c^1746*p^153+c^1658*p^81+c^1509*p^78+c^781*p^26+c^133*p^27)* a^83+(c^4096*p^181+c^2776*p^138+c^2336*p^149+c^2111*p^190+c^2035*p^64+c^1507*p^ 84+c^1281*p^164)*a^82+(c^15121*p^159+c^1937*p^166+c^873*p^31+c^560*p^67+c^121*p ^39)*a^81+(c^3732*p^168+c^1370*p^49+c^503*p^33+c^428*p^23+c^281*p^37)*a^80+(c^ 2563*p^48+c^1596*p^65+c^1550*p^70+c^181*p^34+c^157*p^29)*a^79+(c^4633*p^189+c^ 4068*p^132+c^1891*p^66+c^914*p^61)*a^78+(c^2137*p^175+c^451*p^45)*a^77+(c^3918* p^106+c^1867*p^107+c^1781*p^136+c^1309*p^183)*a^76+(c^749*p^47+c^658*p^42+c^145 *p^25)*a^75+(c^6030*p^122+c^2677*p^186+c^1624*p^77+c^341*p^18)*a^74+(c^1692*p^ 133+c^734*p^50)*a^73+p^323*c^11987*a^72+p^55*c^756*a^70+p^117*c^3924*a^68+(c^ 2084*p^84+c^1337*p^92+c^366*p^39)*a^66+(c^9810*p^453+c^882*p^46)*a^65+p^40*c^ 101*a^63+p^113*c^8482*a^60+(c^2116*p^48+c^1265*p^57)*a^59+(c^2898*p^122+c^1859* p^111)*a^58+p^24*c^173*a^48 The correlation between age at death and number of publication is, 0.003103170001 The correlation between age at death and number of citations is, 0.01126581998 The correlation between the number of publications and number of citations is, 0.5797344527 This ends this article May you live a long life, whether or not you are an AMS fellow.