The Average AMS fellow who died before Aug. 2022 lived 83.36 years, published 98.53 papers, and was cited 2473.23 times

Livia A. STONE and Doron ZEILBERGER

Abstract: Using data collected from the AMS websites, and the internet in general, we compute the weight-enumerator of the set of 145 AMS fellows who passed away before Aug. 2022, according to the statistics [Age, Number of Publications, Number of Citations]. Using Maple and elementary calculus, we deduced from it the numbers stated in the title, as well as much more detailed and fascinating statistical information. For example, while the correlation coefficient between the number of publications and number of citations is, not surprisingly, positive, it is far lower than one would expect, being a mere 0.5797 . The appendices contain the rankings according to longevity, number of publications, and number of citations.

Lemma: The weight-enumerator of the set of AMS fellows who died before Aug. 2022, where the weight of a fellow is

a^{AgeAtDeath} p^{NumberOfP ublications} c^{NumberOfCitations} ,

let’s call it F (a, p, c), is the following polynomial of degree 100 in a, degree 453 in p, and degree 27492 in c:

F (a, p, c) =

c^{173}p^{24}a^{48} + (c^{2898}p^{122} + c^{1859}p^{111}) a^{58} + (c^{2116}p^{48} + c^{1265}p^{57}) a^{59} + c^{8482}p^{113}a^{60} + c^{101}p^{40}a^{63}

+ (c^{9810}p^{453} + c^{882}p^{46}) a^{65} + (c^{2084}p^{84} + c^{1337}p^{92} + c^{366}p^{39}) a^{66} + c^{3924}p^{117}a^{68} + c^{756}p^{55}a^{70}

+c^{11987}p^{323}a^{72} + (c^{1692}p^{133} + c^{734}p^{50}) a^{73} + (c^{6030}p^{122} + c^{2677}p^{186} + c^{1624}p^{77} + c^{341}p^{18}) a^{74}

+ (c^{749}p^{47} + c^{658}p^{42} + c^{145}p^{25}) a^{75} + (c^{3918}p^{106} + c^{1867}p^{107} + c^{1781}p^{136} + c^{1309}p^{183}) a^{76}

+ (c^{2137}p^{175} + c^{451}p^{45}) a^{77} + (c^{4633}p^{189} + c^{4068}p^{132} + c^{1891}p^{66} + c^{914}p^{61}) a^{78}
+ (c^{2563}p^{48} + c^{1596}p^{65} + c^{1550}p^{70} + c^{181}p^{34} + c^{157}p^{29}) a^{79}
+ (c^{3732}p^{168} + c^{1370}p^{49} + c^{503}p^{33} + c^{428}p^{23} + c^{281}p^{37}) a^{80}
+ (c^{15121}p^{159} + c^{1937}p^{166} + c^{873}p^{31} + c^{560}p^{67} + c^{121}p^{39}) a^{81}
+ (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^{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^{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^{7500}p^{363} + c^{4772}p^{193} + c^{4490}p^{126} + c^{2116}p^{164} + c^{1231}p^{47}) a^{85}
+ (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^{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^{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^{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^{12281}p^{269} + c^{3685}p^{110} + c^{2851}p^{222} + c^{145}p^{37}) a^{90}
+ (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^{1601}p^{59} + c^{1065}p^{59} + c^{498}p^{99}) a^{92}

+ (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^{5626}p^{95} + c^{1295}p^{82} + c^{214}p^{27} + c^{2}p^{5}) a^{94} + (c^{17621}p^{175} + c^{586}p^{58} + c^{400}p^{182}) a^{95}
+ (c^{1632}p^{90} + c^{712}p^{46} + c^{206}p^{66}) a^{96}+
(c^{5215}p^{96} + c^{778}p^{75}) a^{97} + c^{272}p^{86}a^{99} + c^{401}p^{93}a^{100} .

First we turn the enumeration generating function to a probability generating function by dividing by F (1, 1, 1) = 145.

f(a, p, c) := \frac{F (a, p, c)}{F (1, 1, 1)} = \frac{1}{145}F (a, p, c) .

We are now ready to prove our theorem.

Theorem :

• The average age at death of an AMS Fellow who died before Aug. 2022 is 83.3655, the standard deviation is 9.343, the skewness is, −1.079, and the kurtosis is 4.3277.

• The average number of publications is 98.531, the standard deviation is 73.942, the skewness is 1.757, and the kurtosis is 7.1779.

• The average number of citations is 2473.234, the standard deviation is 3455.194, the skewness is 3.97, and the kurtosis is, 23.993.

• The correlation coefficient between the age at death and the number of publications is 0.003, between the age at death and the number of citations is 0.011, while the correlation between the number of publications and number of citations is 0.57973.

Proof: We have, of course

μ_{age} = \frac{∂}{∂a}f(a, p, c)|_{a=1,p=1.c=1} ,

μ_{pub} = \frac{∂}{∂p}f(a, p, c)|_{a=1,p=1.c=1} ,

μ_{cit} = \frac{∂}{∂c}f(a, p, c)|_{a=1,p=1.c=1} .

Now, let’s define

f̄(a, p, c) := \frac{f(a, p, c)}{a^{μ_{age}} p^{μ_{pub}} c^{μ_{cit}}} .

We have, of course, that the moments about the mean are:

M_{r,s,t} = E[(age−μ_{age})^{r} (pub−μ_{pub})^{s} (cit−μ_{cit})^{t}] = (a\frac{∂}{∂a})^{r} (p\frac{∂}{∂p})^{s} (c\frac{∂}{∂c})^{t} f̄(a, p, c)|_{a=1,p=1,c=1} ,

and finally the scaled moments are

α_{r,s,t} = \frac{M_{r,s,t}}{M_{2,0,0}^{r/2}M_{0,2,0}^{s/2}M_{0,0,2}^{t/2}} .

The numbers stated in the theorem are, respectively,

• μ_{age}, \sqrt{M_{2,0,0}}, α_{3,0,0}, α_{4,0,0}

• μ_{pub}, \sqrt{M_{0,2,0}}, α_{0,3,0}, α_{0,4,0}

• μ_{cit}, \sqrt{M_{0,0,2}}, α_{0,0,3}, α_{0,0,4}

• α_{1,1,0}, α_{1,0,1}, α_{0,1,1} . Appendix I: The Dead AMS Fellows According to Age Here are all the dead fellows listed, in decreasing order of their age at death, followed by their number of publications and number of citations in MathSciNet (viewed Aug. 2022). There was 1 fellow who died at the age of 100 Maurice H. Heins ( 1915-2015) 93;401 There was 1 fellow 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 Isadore M. Singer ( 1924-2021) 96;5215 There were 3 fellows who died at the age of 96 Jane Cronin Scanlon ( 1922-2018) 66;206 Bjarni Jonsson ( 1920-2016) 90;1632 Richard D. Schafer ( 1918-2014) 46;712 There were 3 fellows who died at the age of 95 Edgar H. Brown ( 1926-2021) 58;586 Donald A.S. Fraser ( 1925-2020) 182;400 Louis Nirenberg ( 1925-2020) 175;17621 There were 4 fellows who died at the age of 94 Lida K. Barrett ( 1927-2021) 5;2 Cathleen Synge Morawetz ( 1923-2017) 82;1295 John T. Tate ( 1925-2019) 95;5626 John H. Walter ( 1927-2021) 27;214 There were 8 fellows who died at the age of 93 Tom M. Apostol ( 1923-2016) 87;2886 Arthur Herbert Copeland ( 1926-2019) 19;41 Richard V. Kadison ( 1925-2018) 105;3633 Joseph B. Keller ( 1923-2016) 321;3655 John C. Moore ( 1923-2016) 37;1254 Murray Rosenblatt ( 1926-2019) 178;2128 Lloyd Stowell 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 Arthur P. 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 Sir Michael Atiyah ( 1929-2019) 269;12281 Manfredo P. doCarmo ( 1928-2018) 110;3685 Eugene B. Dynkin ( 1924-2014) 222;2851 There were 13 fellows who died at the age of 89 Felix E. Browder ( 1927-2016) 200;4743 Jim Douglas, Jr. ( 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 Mardeic ( 1927-2016) 159;1130 Albert Nijenhuis ( 1926-2015) 61;1054 Vera Pless ( 1931-2020) 101;2248 Mary Ellen Rudin ( 1924-2013) 87;791 Victor L. 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 Richard L. Bishop ( 1931-2019) 49;1173 Solomon Feferman ( 1928-2016) 29;1146 Ronald K. Getoor ( 1929-2017) 106;1850 Heini Halberstam ( 1926-2014) 81;1086 James M. Kister ( 1930-2018) 19;142 Carole B. Lacampagne ( 1933-2021) 11;12 Ernest A. Michael ( 1925-2013) 102;2845 Conjeeveram Srirangachari Seshadri ( 1932-2020) 69;1726 There were 6 fellows who died at the age of 87 Elliott Ward Cheney, Jr. ( 1929-2016) 105;1642 Robert Ellis ( 1926-2013) 41;978 John Hempel ( 1935-2022) 31;1211 John F. Nash, Jr. ( 1928-2015) 29;3185 Robert R. Phelps ( 1926-2013) 71;2519 Elias M. Stein ( 1931-2018) 237;27492 There were 6 fellows who died at the age of 86 Richard Askey ( 1933-2019) 163;4802 Donald L. Burkholder ( 1927-2013) 57;2165 Pierre E. Conner, Jr. ( 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 Andras 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 Robert J. Blattner ( 1931-2015) 23;336 Harold M. Edwards ( 1936-2020) 46;542 Edward G. Effros ( 1935-2019) 82;3484 Paul Fife ( 1930-2014) 118;3509 Solomon Golomb ( 1932-2016) 146;1497 Jacques Jean-Pierre Neveu ( 1932-2016) 74;1172 Robert T. 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 W. Wistar Comfort ( 1933-2016) 153;1746 Richard Pollack ( 1935-2018) 81;1658 Charles J. Stone ( 1936-2019) 79;2604 Joseph F. Traub ( 1932-2015) 78;1509 Alphonse T. Vasquez ( 1938-2021) 27;133 There were 7 fellows who died at the age of 82 Shreeram Abhyankar ( 1930-2012) 190;2111 Richard M. Dudley ( 1938-2020) 138;2776 Clifford John Earle, Jr. ( 1935-2017) 84;1507 Mark Mahowald ( 1931-2013) 164;1281 Edward Nelson ( 1932-2014) 64;2035 Joel A. Smoller ( 1935-2017) 181;4096 Veeravalli S. Varadarajan ( 1937-2019) 149;2336 There were 5 fellows who died at the age of 81 Kenneth I. Appel ( 1932-2013) 31;873 Gilbert Baumslag ( 1933-2014) 166;1937 Samuel Gitler ( 1933-2014) 67;560 Lars Hormander ( 1931-2012) 159;15121 Aderemi Oluyomi Kuku ( 1941-2022) 39;121 There were 5 fellows who died at the age of 80 Ronald G. Douglas ( 1938-2018) 168;3732 Robert M. Miura ( 1938-2018) 49;1370 Paul J. Sally, Jr. ( 1933-2013) 37;281 Charles C. 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 Kenneth I. Gross ( 1938-2017) 34;181 Lesley M. Sibner ( 1934-2013) 29;157 There were 4 fellows who died at the age of 78 Joyce R. McLaughlin ( 1939-2017) 61;914 George R. Sell ( 1937-2015) 132;4068 Robert Strichartz ( 1943-2021) 189;4633 William A. 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 Frederick R. Cohen ( 1946-2022) 136;1781 Vladimir F. Demyanov ( 1938-2014) 183;1309 Peter M. Gruber ( 1941-2017) 107;1867 Thomas M. Liggett ( 1944-2020) 106;3918 There were 3 fellows who died at the age of 75 Paul Chernoff ( 1942-2017) 42;658 Samuel M. Rankin, III ( 1945-2020) 25;145 Clarence W. Wilkerson, Jr. ( 1944-2019) 47;749 There were 4 fellows who died at the age of 74 Colin J. Bushnell ( 1947-2021) 77;1624 Anatole Katok ( 1944-2018) 122;6030 Lynn Arthur Steen ( 1941-2015) 18;341 Jan C. Willems ( 1939-2013) 186;2677 There were 2 fellows who died at the age of 73 Georgia Benkart ( 1949-2022) 133;1692 Oscar E. Lanford, III ( 1940-2013) 50;734 There was 1 fellow who died at the age of 72 Andrew J. Majda ( 1949-2021) 323;11987 There was 1 fellows who died at the age of 70 Steven M. Zucker ( 1949-2019) 55;756 There was 1 fellow who died at the age of 68 Vaughan F. R. Jones ( 1952-2020) 117;3924 There were 3 fellows who died at the age of 66 Walter Craig ( 1953-2019) 84;2084 Stephen A. Mitchell ( 1951-2017) 39;366 Edward Odell ( 1947-2013) 92;1337 There were 2 fellows who died at the age of 65 Jonathan Michael Borwein ( 1951-2016) 453;9810 David Goss ( 1952-2017) 46;882 There was 1 fellows who died at the age of 63 Lynne H. Walling ( 1958-2021) 40;101 There was 1 fellow who died at the age of 60 Andrei V. Zelevinsky ( 1953-2013) 113;8482 There were 2 fellows who died at the age of 59 Tim D. 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 was 1 fellow who died at the age of 48 Thomas Nevins ( 1972-2020) 24;173 Appendix II: Ranking the AMS Fellows who died before Aug. 2022 According to Decreasing Number of Publications Here is the list of all 145 dead AMS fellows in decreasing order of their number of publications. It lists the year of birth, year of death, number of publications, and number of citations.

1. Jonathan Michael Borwein ( 1951-2016) 453;9810

2. Ronald Graham ( 1935-2020) 363;7500

3. Andrew J. Majda ( 1949-2021) 323;11987

4. Joseph B. Keller ( 1923-2016) 321;3655

5. Jean-Pierre Kahane ( 1926-2017) 288;2639

6. Branko Grunbaum ( 1929-2018) 271;3814

7. Sir Michael Atiyah ( 1929-2019) 269;12281

8. Elias M. Stein ( 1931-2018) 237;27492

9. Eugene B. Dynkin ( 1924-2014) 222;2851

10. Felix E. 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. Jan C. Willems ( 1939-2013) 186;2677

15. Vladimir F. Demyanov ( 1938-2014) 183;1309

16. Donald A.S. Fraser ( 1925-2020) 182;400

17. Joel A. Smoller ( 1935-2017) 181;4096

18. Jim Douglas, Jr. ( 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. Ronald G. 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. Andras Hajnal ( 1931-2016) 164;2116

27. Richard Askey ( 1933-2019) 163;4802

28. Sibe Mardesic ( 1927-2016) 159;1130

29. Lars Hormander ( 1931-2012) 159;15121

30. W. Wistar Comfort ( 1933-2016) 153;1746

31. Veeravalli S. Varadarajan ( 1937-2019) 149;2336 32. Solomon Golomb ( 1932-2016) 146;1497

33. Richard M. Dudley ( 1938-2020) 138;2776

34. Frederick R. Cohen ( 1946-2022) 136;1781

35. Georgia Benkart ( 1949-2022) 133;1692

36. George R. 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. Vaughan F. R. 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. Andrei V. Zelevinsky ( 1953-2013) 113;8482 47. Wilhelmus Luxemburg ( 1929-2018) 111;1107 48. Nikolai Chernov ( 1956-2014) 111;1859

49. Manfredo P. doCarmo ( 1928-2018) 110;3685 50. Peter M. Gruber ( 1941-2017) 107;1867

51. Thomas M. Liggett ( 1944-2020) 106;3918

52. Ronald K. Getoor ( 1929-2017) 106;1850

53. Richard V. Kadison ( 1925-2018) 105;3633

54. Elliott Ward Cheney, Jr. ( 1929-2016) 105;1642 55. Ernest A. Michael ( 1925-2013) 102;2845

56. Vera Pless ( 1931-2020) 101;2248

57. Victor L. Shapiro ( 1924-2013) 99;239

58. Herman Rubin ( 1926-2018) 99;498

59. Isadore M. Singer ( 1924-2021) 96;5215

60. John T. Tate ( 1925-2019) 95;5626

61. Maurice H. 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. Mary Ellen Rudin ( 1924-2013) 87;791

66. Tom M. Apostol ( 1923-2016) 87;2886

67. Lee Lorch ( 1915-2014) 86;272

68. Clifford John Earle, Jr. ( 1935-2017) 84;1507 69. Walter Craig ( 1953-2019) 84;2084

70. Cathleen Synge Morawetz ( 1923-2017) 82;1295 71. Edward G. Effros ( 1935-2019) 82;3484

72. Richard Pollack ( 1935-2018) 81;1658

73. Heini Halberstam ( 1926-2014) 81;1086

74. Charles J. Stone ( 1936-2019) 79;2604

75. Joseph F. Traub ( 1932-2015) 78;1509

76. Colin J. Bushnell ( 1947-2021) 77;1624

77. Komaravolu Chandrasekharan ( 1920-2017) 75;778

78. Jacques Jean-Pierre Neveu ( 1932-2016) 74;1172

79. Robert R. Phelps ( 1926-2013) 71;2519

80. Pierre E. Conner, Jr. ( 1932-2018) 71;1118

81. Lloyd Stowell Shapley ( 1923-2016) 70;4107

82. Elwyn Berlekamp ( 1940-2019) 70;1550

83. Conjeeveram Srirangachari Seshadri ( 1932-2020) 69;1726 84. Samuel Gitler ( 1933-2014) 67;560

85. William A. Veech ( 1938-2016) 66;1891

86. Rudolf Kalman ( 1930-2016) 66;1826

87. Jane Cronin Scanlon ( 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. Joyce R. 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. Tim D. Cochran ( 1955-2014) 57;1265

97. Donald L. Burkholder ( 1927-2013) 57;2165

98. Steven M. Zucker ( 1949-2019) 55;756

99. Robert T. Seeley ( 1932-2016) 53;1510

100. Oscar E. Lanford, III ( 1940-2013) 50;734

101. Robert M. Miura ( 1938-2018) 49;1370

102. Richard L. Bishop ( 1931-2019) 49;1173

103. John Roe ( 1959-2018) 48;2116

104. Aldridge Bousfield ( 1941-2020) 48;2563

105. Clarence W. Wilkerson, Jr. ( 1944-2019) 47;749 106. Roy Adler ( 1931-2016) 47;1231

107. Richard D. Schafer ( 1918-2014) 46;712

108. Ray Kunze ( 1928-2014) 46;452

109. David Goss ( 1952-2017) 46;882

110. Harold M. 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. Lynne H. Walling ( 1958-2021) 40;101

116. Maurice Sion ( 1927-2018) 39;525

117. Stephen A. Mitchell ( 1951-2017) 39;366

118. Aderemi Oluyomi Kuku ( 1941-2022) 39;121 119. Paul J. Sally, Jr. ( 1933-2013) 37;281

120. John C. 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. Kenneth I. Gross ( 1938-2017) 34;181

126. Charles C. Sims ( 1937-2017) 33;503

127. John Hempel ( 1935-2022) 31;1211

128. Donald Babbitt ( 1936-2020) 31;161

129. Kenneth I. Appel ( 1932-2013) 31;873

130. Lesley M. Sibner ( 1934-2013) 29;157

131. John F. Nash, Jr. ( 1928-2015) 29;3185

132. Solomon Feferman ( 1928-2016) 29;1146

133. John H. Walter ( 1927-2021) 27;214

134. Alphonse T. Vasquez ( 1938-2021) 27;133 135. J. Michael Boardman ( 1938-2021) 26;781 136. Samuel M. Rankin, III ( 1945-2020) 25;145 137. Thomas Nevins ( 1972-2020) 24;173

138. Myles Tierney ( 1937-2017) 23;428

139. Robert J. Blattner ( 1931-2015) 23;336

140. James M. Kister ( 1930-2018) 19;142

141. Arthur Herbert Copeland ( 1926-2019) 19;41 142. Lynn Arthur Steen ( 1941-2015) 18;341

143. Arthur P. Mattuck ( 1930-2021) 17;152

144. Carole B. Lacampagne ( 1933-2021) 11;12 145. Lida K. Barrett ( 1927-2021) 5;2 Appendix III: Ranking the AMS Fellows who died before Aug. 2022 According to Decreasing Number of Citations

1. Elias M. Stein ( 1931-2018) 237;27492

2. Louis Nirenberg ( 1925-2020) 175;17621

3. Lars Hormander ( 1931-2012) 159;15121

4. Sir Michael Atiyah ( 1929-2019) 269;12281

5. Andrew J. Majda ( 1949-2021) 323;11987

6. Jonathan Michael Borwein ( 1951-2016) 453;9810

7. Guido Weiss ( 1928-2021) 114;8722

8. Andrei V. 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. Jim Douglas, Jr. ( 1927-2016) 180;5937

13. John T. Tate ( 1925-2019) 95;5626

14. Isadore M. Singer ( 1924-2021) 96;5215

15. Richard Askey ( 1933-2019) 163;4802

16. Harry Kesten ( 1931-2016) 193;4772

17. Felix E. 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. Lloyd Stowell Shapley ( 1923-2016) 70;4107

22. Joel A. Smoller ( 1935-2017) 181;4096

23. George R. Sell ( 1937-2015) 132;4068 24. Harold Widom ( 1932-2021) 167;4066

25. Vaughan F. R. Jones ( 1952-2020) 117;3924 26. Thomas M. Liggett ( 1944-2020) 106;3918

27. Branko Grunbaum ( 1929-2018) 271;3814

28. Ronald G. Douglas ( 1938-2018) 168;3732

29. Manfredo P. doCarmo ( 1928-2018) 110;3685 30. Joseph B. Keller ( 1923-2016) 321;3655

31. Richard V. Kadison ( 1925-2018) 105;3633

32. Paul Fife ( 1930-2014) 118;3509

33. Edward G. Effros ( 1935-2019) 82;3484

34. John F. Nash, Jr. ( 1928-2015) 29;3185

35. Robin Thomas ( 1962-2020) 122;2898

36. Tom M. Apostol ( 1923-2016) 87;2886

37. Eugene B. Dynkin ( 1924-2014) 222;2851

38. Ernest A. Michael ( 1925-2013) 102;2845

39. Richard M. Dudley ( 1938-2020) 138;2776

40. Jan C. Willems ( 1939-2013) 186;2677

41. Jean-Pierre Kahane ( 1926-2017) 288;2639

42. Charles J. Stone ( 1936-2019) 79;2604

43. Aldridge Bousfield ( 1941-2020) 48;2563

44. Robert R. Phelps ( 1926-2013) 71;2519

45. Veeravalli S. Varadarajan ( 1937-2019) 149;2336 46. Vera Pless ( 1931-2020) 101;2248

47. Donald L. 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. Andras 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. William A. Veech ( 1938-2016) 66;1891

57. Peter M. Gruber ( 1941-2017) 107;1867

58. Nikolai Chernov ( 1956-2014) 111;1859

59. Ronald K. Getoor ( 1929-2017) 106;1850

60. Rudolf Kalman ( 1930-2016) 66;1826

61. Frederick R. Cohen ( 1946-2022) 136;1781

62. W. Wistar Comfort ( 1933-2016) 153;1746

63. Conjeeveram Srirangachari Seshadri ( 1932-2020) 69;1726 64. Georgia Benkart ( 1949-2022) 133;1692

65. Richard Pollack ( 1935-2018) 81;1658

66. Elliott Ward Cheney, Jr. ( 1929-2016) 105;1642

67. Bjarni Jonsson ( 1920-2016) 90;1632

68. Colin J. 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. Robert T. Seeley ( 1932-2016) 53;1510 74. Joseph F. Traub ( 1932-2015) 78;1509

75. Clifford John Earle, Jr. ( 1935-2017) 84;1507 76. Solomon Golomb ( 1932-2016) 146;1497

77. Robert M. Miura ( 1938-2018) 49;1370

78. Edward Odell ( 1947-2013) 92;1337

79. Vladimir F. Demyanov ( 1938-2014) 183;1309 80. Cathleen Synge Morawetz ( 1923-2017) 82;1295 81. Mark Mahowald ( 1931-2013) 164;1281

82. Tim D. Cochran ( 1955-2014) 57;1265

83. John C. 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. Richard L. Bishop ( 1931-2019) 49;1173

88. Jacques Jean-Pierre Neveu ( 1932-2016) 74;1172 89. Solomon Feferman ( 1928-2016) 29;1146

90. Sibe Mardesic ( 1927-2016) 159;1130

91. Pierre E. Conner, jr. ( 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. Joyce R. McLaughlin ( 1939-2017) 61;914

98. David Goss ( 1952-2017) 46;882 99. Kenneth I. Appel ( 1932-2013) 31;873

100. Mary Ellen Rudin ( 1924-2013) 87;791

101. J. Michael Boardman ( 1938-2021) 26;781

102. Komaravolu Chandrasekharan ( 1920-2017) 75;778 103. Steven M. Zucker ( 1949-2019) 55;756

104. Clarence W. Wilkerson, Jr. ( 1944-2019) 47;749 105. Oscar E. Lanford, III ( 1940-2013) 50;734

106. Richard D. Schafer ( 1918-2014) 46;712

107. Harvey Cohn ( 1923-2014) 118;664

108. Paul Chernoff ( 1942-2017) 42;658

109. Edgar H. Brown ( 1926-2021) 58;586

110. Samuel Gitler ( 1933-2014) 67;560

111. Harold M. Edwards ( 1936-2020) 46;542

112. Henry Wente ( 1936-2020) 34;526

113. Maurice Sion ( 1927-2018) 39;525

114. Charles C. 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. Maurice H. Heins ( 1915-2015) 93;401

121. Donald A. S. Fraser ( 1925-2020) 182;400

122. Stephen A. Mitchell ( 1951-2017) 39;366

123. Lynn Arthur Steen ( 1941-2015) 18;341 124. Robert J. Blattner ( 1931-2015) 23;336

125. Paul J. Sally, Jr. ( 1933-2013) 37;281

126. Louis Howard ( 1929-2015) 42;275

127. Lee Lorch ( 1915-2014) 86;272

128. Victor L. Shapiro ( 1924-2013) 99;239

129. John H. Walter ( 1927-2021) 27;214

130. Jane Cronin Scanlon ( 1922-2018) 66;206

131. Kenneth I. Gross ( 1938-2017) 34;181

132. Thomas Nevins ( 1972-2020) 24;173

133. Donald Babbitt ( 1936-2020) 31;161

134. Lesley M. Sibner ( 1934-2013) 29;157

135. Arthur P. Mattuck ( 1930-2021) 17;152

136. Samuel M. Rankin, III ( 1945-2020) 25;145

137. Steve Armentrout ( 1930-2020) 37;145

138. James M. Kister ( 1930-2018) 19;142

139. Alphonse T. Vasquez ( 1938-2021) 27;133

140. Aderemi Oluyomi Kuku ( 1941-2022) 39;121

141. Lynne H. Walling ( 1958-2021) 40;101

142. Howard Osborn ( 1928-2019) 36;52

143. Arthur Herbert Copeland ( 1926-2019) 19;41

144. Carole B. Lacampagne ( 1933-2021) 11;12

145. Lida K. Barrett ( 1927-2021) 5;2 Acknowledgment: Many thanks are due to Shalosh B. Ekhad for its dilligent computations, that were generated using the Maple package

https://sites.math.rutgers.edu/~zeilberg/tokhniot/AMSrip.txt .

References

[1] The AMS, List of AMS Fellows http://www.ams.org/cgi-bin/fellows/fellows.cgi (Viewed

Aug. 31, 2022)

[2] MathSciNet, https://mathscinet.ams.org/mathscinet/ (requires subscription)

Corresponding author: Doron Zeilberger, Department of Mathematics, Rutgers University (New Brunswick), Hill Center-Busch Campus, 110 Frelinghuysen Rd., Piscataway, NJ 08854-8019, USA.

Email: DoronZeil] at gmail dot com .

Written: Sept. 29, 2022.