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
2003
A WZ Proof of a "Curious" Identity
(with
Mohamud Mohammed
). INTEGERS 3 (2003), A6.
2002
The WEBBOOK: Computer-Generated Alphametics
2001
The WEBBOOK:
PLANE GEOMETRY: An Elementary School Textbook (ca. 2050)
By
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.)
Shalosh B. Ekhad's Homepage