Shalosh B. Ekhad's Articles

Last Update: Sept. 15, 2005

Below you will find my recent papers arranged in three categories: `Submitted',`To appear',`Published'.

Be sure to also look at The Personal Journal of Shalosh B. Ekhad and Doron Zeilberger, that contains papers that are exlusively published in this website.

Here is The list of publications of my beloved master , that contains my papers written with him.

SUBMITTED

Nothing Right Now.

To APPEAR

Nothing Right Now.

Published

2014

How To Generate As Many Somos-Like Miracles as You Wish By Shalosh B. Ekhad and Doron Zeilberger [Appeared in J. Difference Equations and Applications 20(2014), 852-858.]

2013

Automatic Counting of Tilings of Skinny Plane Regions By Shalosh B. Ekhad and Doron Zeilberger [Appeared in "Surveys in Combinatorics 2013", edited by Simon R. Blackburn, Stefanie Gerke, and Mark Wildon, London Mathematical Society Lecture Notes Series #409, 363-378.]

How to Gamble If You're In a Hurry By Shalosh B. Ekhad and Doron Zeilberger [Appeared in Journal of Difference Equations and Application 19(2013) , 520-526.]

Balls in Boxes: Variations on a Theme of Warren Ewens and Herbert Wilf By Shalosh B. Ekhad and Doron Zeilberger [Appeared in "Advances in Combinatorics: Waterloo Workshop in Computer Algebra, W80, May 26-29, 2011" [a volume in memory of Herbert S. Wilf] , (edited by Ilias Kotsireas and Eugene Zima), 161-174].

1999

PLANE GEOMETRY: An Elementary School Textbook (ca. 2050) By Shalosh B. Ekhad, XIV, downloaded from the future by Doron Zeilberger. (Appeared in Mathematical Intelligencer 21(3) (Summer 1999), 64-70)

1998

There Are More Than 2**(n/17) n-Lettered Ternanry Square-Free Words By Shalosh B. Ekhad and Doron Zeilberger. (J. Integer Sequences (electronic), 98.1.9)

Curing the Andrews Syndrome By Shalosh B. Ekhad and Doron Zeilberger. (J. of Difference Equations and Applications 4(1998), 299-310)

A Binomial Coefficient Identity Associated to a Conjecture of Beukers, by Scott Ahlgren, Shalosh B. Ekhad, Ken Ono, and Doron Zeilberger. Electronic Journal of Combinatorics 5(1998), R10.

1997

`Proof of Conway's Lost Cosmological Theorem' By Shalosh B. Ekhad and Doron Zeilberger (Elect. Res. Announcements of the AMS 3(1997), 78-82.)

A Condensed Condensation Proof of Determinant Evaluation Conjectured by Greg Kuperberg and Jim Propp. By Tewodros Amdeberhan and Shalosh B. Ekhad. (J. Comb. Theory (series A) 78(1997), 169-170.)

1996

A short computer-generated proof of Abel's identity ( by S. B. Ekhad and John Majewicz) (Appeared in Elect. J. Combi. 3(2) (1996)[Foata issue], R16.)

An explicit formula for the number of solutions of X^2=0 in triangular matrices over GF(q) (Elec. J. Comb. 3(1996), R2 ) by Shalosh B. Ekhad and Doron Zeilberger

1995

A short (formal calculus) proof of the Bieberbach conjecture (after L. Weinstein) by Shalosh B. Ekhad and Doron Zeilberger. (Appeard in `Jerusalem Combinatorcs' Proc. 1993, H. Barcello and G. Kalai, eds., Contemporary Math 178 (1995), 113-115)

1994

A WZ Proof of Ramanujan's Formula for Pi by Shalosh B. Ekhad and Doron Zeilberger (Appeard in `Geometry, Analysis, and Mechanics', ed. by J.M. Rassias, World Scientific, Singapore, 1994, 107-108.)

1993

A short proof of Jacobi's formula for the number of representations of an integer as a sum of four squares by George Andrews, Shalosh B. Ekhad, and Doron Zeilberger) (Appeared in Amer. Math. Monthly 100(1993), 274-276.)

1990

A Purely Verification Proof of the First Rogers Ramanujan Identity by Shalosh B. Ekhad and Sol Tre (Appeared in Journal of Combinatorial Theory (Series A) 54 (1990) , 309-211)

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