Doron Zeilberger 's Articles

Last Update: March 7, 2014

Here are most of my articles that were also published elsewhere. The Articles that were written after 1990 come with a "front" .html file, and are preprints. Those that were written prior to 1990 are .pdf files of scans of the published articles, kindly prepared by the brilliant young combinatorialist, Larry X. W. Wang, from Nankai University, who during my Nov. 2007 visit to Bill Chen's Combinatorics Kingdom, presented me with a beautifully prepared CD with most of my published articles.

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 my CV, that includes the list of publications. (last update: May 18, 2012).


Submitted

Automatic Enumeration of Generalized Ménage Numbers   By Doron Zeilberger

On the Asymptotic Statistics of The Number of Occurrences Of Multiple Permutation Patterns   By Svante Janson, Brian Nakamura, and Doron Zeilberger


PUBLISHED On-Line [Before-Print (Volume and page Numbers TBA)]

A Case Study in Meta-AUTOMATION: AUTOMATIC Generation of Congruence AUTOMATA For Combinatorial Sequences   By Eric Rowland and Doron Zeilberger [J. Difference Equations and Applications (On-Line ISSN: 1563-5120) , DOI:10.1080/10236198.2013.876422]

How To Generate As Many Somos-Like Miracles as You Wish By Shalosh B. Ekhad and Doron Zeilberger [J. Difference Equations and Applications (On-Line ISSN: 1563-5120) , DOI:10.1080/10236198.2013.823956]


PUBLISHED

2013

Zeroless Arithmetic: Representing Integers ONLY using ONE By Edinah K. Gnang and Doron Zeilberger
[Appeared in Journal of Difference Equations and Applications 19(2013),1921-1926]

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].

Automatic Generation of Theorems and Proofs on Enumerating Consecutive-Wilf classes By Andrew Baxter, Brian Nakamura, 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), 121-138].

The C-finite Ansatz By Doron Zeilberger
[Ramanujan J. 31(2013), 23-32].

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.]

The Reciprocal of 1+ab+aabb+aaabbb+... for NON-COMMUTING a and b, Catalan numbers and non commutative quadratic equations By Arkady Berenstein, Vldamir Retakh, Christophe Reutenauer, and Doron Zeilberger
[Appeared in "Noncommutative Birational Geometry, Representations, and Cluster algebras" (A. Berenstein and V, Retakh, eds.), Contemporary Mathematics volume 592, 2013, Amer. Math. Soc.]

Rademacher's Infinite Partial Fraction Conjecture is ( almost certainly) False By Andrew V. Sills and Doron Zeilberger [Appeared in Journal of Difference Equations and Applications 19(2013), 680-689]

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

Using Noonan-Zeilberger Functional Equations to enumerate (in Polynomial Time!) Generalized Wilf classes By Brian Nakamura and Doron Zeilberger [Appeared in Advances in Applied Mathematics 50(2013), 356-366]

2012

A New Algorithm for Proving Global Asymptotic Stability of Rational Difference Equations By Emilie Hogan and Doron Zeilberger [Appeared in Journal of Difference Equations and Applications 18(2012), 1853-1873]

The Discrete Analog of the Malgrange-Ehrenpreis Theorem By Doron Zeilberger [Appeared in: "From Fourier Analysis and Number Theory to Radon Transforms and Geometry-In Memory of Leon Ehrenpreis" (Developments in Mathematics) edited by M. Farkas, R. C. Gunning, Marvin I. Knopp z"l, and B.A. Taylor, Springer]

Formulae for the Number of Partitions of n into at most m parts (Using the Quasi-Polynomial Ansatz) By Andrew V. Sills and Doron Zeilberger [Appeared in Advances in Applied Mathematics 48(2012), 640-645]

Toward a Language Theoretic Proof of the Four Color Theorem By Bobbe J. Cooper, Eric Rowland, and Doron Zeilberger [Appeared in Advances in Applied Mathematics 48(2012) 414-431]

2011

The Computational Challenge of Enumerating High-Dimensional Rook Walks By Manuel Kauers and Doron Zeilberger [Appeared in Advances in Applied Mathematics v. 47(2011), 813-819.]

The 1958 Pekeris-Accad-WEIZAC Ground-Breaking Collaboration that computed Ground-States of Two-Electron Atoms (and its 2010 Redux) By Christoph Koutschan and Doron Zeilberger [Appeared in the Mathematical Intelligencer Volume 33(2)(2011), 52-57]

The Mahonian Probability Distribution on Words is Asymptotically Normal By E. Rodney Canfield, Svante Janson, and Doron Zeilberger [Appeared in Advances in Applied Mathematics v. 46 (2011), 109-124 (Special Dennis Stanton issue)]

Teaching the Computer how to Discover(!) and then Prove(!!) (all by Itself(!!!)) Analogs of Collatz's Notorious 3x+1 Conjecture By Doron Zeilberger [Appeared in J. of Difference Equations and Applications, v. 17, No. 3, (March 2011) , 375-386]

A Proof Of George Andrews' and David Robbins' q-TSPP Conjecture By Christoph Koutschan, Manuel Kauers, and Doron Zeilberger [Appeared in the Proceedings of the National Academy of Science, v. 108, no. 6 (Feb. 8, 2011), 2196-2199.]

2010

The Number of Inversions and the Major Index of Permutations are Asymptotically Joint-Independently Normal (Second Edition!) By Andrew Baxter and Doron Zeilberger [Published in the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger, Second Edition, fully refereed by nine (non-anonymous!) referees, Feb. 4, 2011, First edition published April 7, 2010]

Finite Analogs of Szemerédi's Theorem By Paul Raff and Doron Zeilberger [Appeared in "Gems in Experimental Mathematics" (Contemporary Mathematics series (AMS) v. 517), edited by T. Amdeberhan, L. Medina, and V. Moll, 313-319]

An Experimental Mathematics Perspective on the Old, and still Open, Question of When To Stop? By Luis A. Medina and Doron Zeilberger [Appeared in "Gems in Experimental Mathematics" (Contemporary Mathematics series v. 517 (AMS)), edited by T. Amdeberhan, L. Medina, and V. Moll, 265-274]

Some Nice Sums Are Almost As Nice If You Turn Them Upside Down By Moa Apagodu and Doron Zeilberger [J. Combinatorics and Number Theory Volume 2 (2010), issue 1, Paper Number 5]

A Symbolic Computational Approach to a Problem Involving Multivariate Poisson Distributions By Eduardo Sontag and Doron Zeilberger [Appeared in Adv. Appl. Math. v. 44 (2010), 359-377.]

2009
The Automatic Central Limit Theorems Generator (and Much More!) By Doron Zeilberger [Appeared in: "Advances in Combinatorial Mathematics: Proceedings of the Waterloo Workshop in Computer Algebra 2008 in honor of Georgy P. Egorychev", chapter 8, pp. 165-174, (I.Kotsireas, E.Zima, eds. Springer Verlag, 2009.)]

A Translation Method for Finding Combinatorial Bijections by Philip Matchett Wood and Doron Zeilberger. [Appeared in Annals of Combinatorics, 13(2009), 383-402]

Proof of Ira Gessel's Lattice Path Conjecture   By Manuel Kauers, Christoph Koutschan, and Doron Zeilberger [Appeared in Proc Natl Acad Sci USA 106(28):11502-11505 (2009)]

Commutation Relations and Vandermonde Determinants   by Yuri Bahturin, Amitai Regev, and Doron Zeilberger. [Appeared in European J. of Combinatorics 30(2009), 1271-1276].

Efficient Counting and Asymptotics of k-noncrossing Tangled Diagrams   by William Y.C. Chen, Jing Qin, Christian M. Reidys and Doron Zeilberger [Appeared in Elec. J. Combinatorics 16(1) (2009), R37].

A Proof of George Andrews' and Dave Robbins' q-TSPP Conjecture (modulo a finite amount of routine calculations)   By Manuel Kauers, Christoph Koutschan, and Doron Zeilberger. [Exclusively published in the Personal Journal Ekhad and Zeilberger and arxiv.org]

A Symbolic Finite-State Approach For Automated Proving of Theorems in Combinatorial Game Theory by Thotsaporn "Aek" Thanatipanonda and Doron Zeilberger [Appeared in J. of Difference Equations and Applications 15(2009), 111-118]

2008

The Quasi-Holonomic Ansatz and Restricted Lattice Walks by Manuel Kauers and Doron Zeilberger [Appeared in J. of Difference Equations and Applications 14 (2008 ), 1119 - 1126, (special issue in honor of Gerry Ladas' 70th Birthday)]

Experiments with a Positivity-Preserving Operator by Manuel Kauers and Doron Zeilberger [Appeared in Experimental Mathematics, 17 (2008), 341-345.]

Enumerative and Algebraic Combinatorics By Doron Zeilberger. [Appeared in "Princeton Companion to Mathematics", Princeton University Press, (Timothy Gowers, ed.), 550-561.].

Searching For Strange Hypergeometric Identities By Sheer Brute Force by Moa Apagodu and Doron Zeilberger. [Appeared in INTEGERS, 8(2008), A36.]

Using Rota's Umbral Calculus to Enumerate Stanley's P-Partitions by Doron Zeilberger. [Appeared in Adv. Applied Mathematics v. 41 (2008), 206-217.]

Two Dimensional Directed Lattice Walks with Boundaries by Arvind Ayyer and Doron Zeilberger. [Appeared in "Tapas in Experimental Mathematics", Contemporary Mathematics, v. 457 (2008), 1-20, (Tewodros Amdeberhan and Victor Moll, eds.)].

Symbol Crunching with the Gambler's Ruin Problem by Doron Zeilberger. [Appeared in "Tapas in Experimental Mathematics", Contemporary Mathematics, v. 457 (2008), 285-292, (Tewodros Amdeberhan and Victor Moll, eds.)].

2007

An Enquiry Concerning Human (and Computer!) [Mathematical] Understanding by Doron Zeilberger. [Appeared in: C.S. Calude ,ed., "Randomness & Complexity, from Leibniz to Chaitin", World Scientific, Singapore, Oct. 2007.]

FIVE Applications of Wilf-Zeilberger Theory to Enumeration and Combinatorics by Moa Apagodu and Doron Zeilberger. [Appeared in "COMPUTER ALGEBRA 2006, Latest Advances in Symbolic Algorithms" [Abramov Festschrift, dedicated to Sergey Abramov's 60th birthday], edited by Ilias S Kotsireas and Eugene V Zima, World Scientific, Aug. 2007.]

The HOLONOMIC ANSATZ I. Foundations and Applications to Lattice Path Counting by Doron Zeilberger. [Appeared in Annals of Combinatorics 11(2007) 227-239].

The HOLONOMIC ANSATZ II. Automatic DISCOVERY(!) and PROOF(!!) of Holonomic Determinant Evaluations by Doron Zeilberger [Appeared in Annals of Combinatorics 11(2007) 241-247].

"Trivializing" Generalizations of Some Izergin-Korepin-Type Determinants by Tewodros Amdeberhan and Doron Zeilberger. [Appeared in Discrete Mathematics and Theoretical Computer Science 9 (2007), 203-206 .]

Symbolic Moment Calculus II.: Why is Ramsey Theory Sooooo Eeeenormoulsy Hard? by Doron Zeilberger. [Appeared in "Combinatorial Number Theory", B. Landman et. al, editors, in Celebration of the 70th Birthday of Ronald Graham, de Gruyter, 2007. (Co-publised in INTEGERS, 7(2)(2007), A34.]

The Number of [Old-Time] Basketball games with Final Score n:n where the Home Team was never losing but also never ahead by more than w Points by Arvind Ayyer and Doron Zeilberger. [Appeared in Electronic J. of Combinatorics 14(1) (2007), R19 [8 pp]]

2006
The Quantum MacMahon Master Theorem By Stavros Garoufalidis, Thang TQ Le, and Doron Zeilberger. [revised and corrected version posted Oct. 8, 2004]. [Appeared in Proc. Natl. Acad. of Sci. 103(2006), (no. 38, Sept. 19, 2006), 13928-13931)]

A Proof of the Loehr-Warrington Amazing TEN to the Power n Conjecture by Shalosh B. Ekhad, Vince Vatter and Doron Zeilberger . [Appeared in the Personal Journal of Ekhad and Zeilberger and Vince Vatter's website].

Multi-Variable Zeilberger and Almkvist-Zeilberger Algorithms and the Sharpening of Wilf-Zeilberger Theory By Moa Apagodu (formerly Mohamud Mohammed) and Doron Zeilberger. [Appeared in Adv. Appl. Math. 37(2006)(Special Regev issue), 139-152].

Disturbing the Dyson Conjecture (in a GOOD Way) by Andrew V. Sills and Doron Zeilberger. [Appeared in Experimental Mathematics 15(2006), 187-191.]

2005

Pythagorean Primes and Palindromic Continued Fractions By Arthur T. Benjamin and Doron Zeilberger. [Appeared in INTEGERS 5(1) (2005) A30]

DECONSTRUCTING the ZEILBERGER algorithm by Doron Zeilberger . [Appeared in J. of Difference Equations and Applications 11(2005), 851-856.]

Dave Robbins's Art of Guessing By Doron Zeilberger. [Appeared in Adv. Appl. Math. 34(2005), 939-954.]

Sharp Upper Bounds for the Orders of the Recurrences Outputted by the Zeilberger and q-Zeilberger Algorithms By Mohamud Mohammed and Doron Zeilberger. [Appeared in J. Symbolic Computation 39(2005), 201-207.]

2004

Chomp, Recurrences, and Chaos By Doron Zeilberger. [Appeared in J. Difference Equations and its Applications 10(2004), 1281-1293. (special issue in honor of Saber Elaydi)].

Symbolic Moment Calculus I.: Foundations and Permutation Pattern Statistics By Doron Zeilberger. [Appeared in Annals of Combinatorics 8(2004), 369-378.]

The Markov-WZ Method By Mohamud Mohammed and Doron Zeilberger. [Appeared in Elec J. Combinatorics 11(2004), R53.]

On Fraenkel's N-Heap Wythoff Conjecture By Xinyu Sun and Doron Zeilberger. [Appeared in Annals of Combinatorics 8(2004) 225-238.]

"Real" Analysis is a Degenerate Case of Discrete Analysis By Doron Zeilberger. [Appeared in the book "New Progress in Difference Equations"(Proc. ICDEA 2001), edited by Bernd Aulbach, Saber Elaydi, and Gerry Ladas, and publisher by Taylor & Francis, London, 2004.]

2003

The Collector's Brotherhood Problem Using the Newman-Shepp Symbolic Method By Dominique Foata and Doron Zeilberger. [Appeared in Algebra Universalis (special Rota memorial issue) 49 (2003), 387-395.]

Lieber Opa Paul, Ich Bin Auch Ein Experimental Scientist By Doron Zeilberger. [Appeared in Adv. Appl. Math. v. 30 (2003), 633-654.]

Computerized Deconstruction By Doron Zeilberger, [Appeared in Adv. Appl. Math. v. 31 (2003), 532-543.]

A WZ Proof of a "Curious" Identity by Shalosh B. Ekhad and Mohamud Mohammed, [Appeared in INTEGERS 3 (2003), A6.]

2002
Refined Restricted Permutations By Aaron Robertson, Dan Saracino, and Doron Zeilberger, [Appeared in Annals of Combinatorics v. 6 (2003), 427-444].

The Umbral Transfer-Matrix Method. V. The Goulden-Jackson Cluster Method for Infinitely Many Mistakes By Doron Zeilberger. [ Appeared in INTEGERS, v. 2 (2002), A5) ]

2001

Determinants Through The Looking Glass By Tewodros Amdeberhan and Doron Zeilberger. [Appeared in Adv. Appl. Math. v. 27 (2001) Aug/Oct. Numbers 2/3 (FoataFest Special double issue), 225-230].

Babson-Steingrimsson Statistics Are Indeed Mahonian (and Sometimes Even Euler-Mahonian) By Dominique Foata and Doron Zeilberger. [Appeared in Adv. Appl. Math. v. 27 (2001) Aug/Oct. Numbers 2/3 (FoataFest Special double issue), 390-404].

The Umbral Transfer-Matrix Method. III. Counting Animals By Doron Zeilberger (Appeared in New York J of Mathematics 7(2001), 223-231.

How Berger, Felzenbaum, and Fraenkel Revolutionized COVERING SYSTEMS The Same Way that George Boole Revolutionized LOGIC By Doron Zeilberger. [Appeared in Elect. J. Combinatorics 8(2) (2001) (special issue in honor of Aviezri Fraenkel), A1]

The Umbral Transfer-Matrix Method. IV. Counting Self-Avoiding Polygons and Walks By Doron Zeilberger. [Appeard in Elec. J. Comb. 8(1)(2001), R28].

Three-Rowed CHOMP By Doron Zeilberger. [Appeared in Adv. Appl. Math. v. 26 (2001), 168-179].

2000
The Umbral Transfer-Matrix Method: I. Foundations By Doron Zeilberger. [Appeared in J. Comb. Theory, Ser. A, v. 91 (2000), 451-463, (Rota memorial issue)]

The Goulden-Jacskon Cluster Method For Cyclic Words By Anne E. Edlin and Doron Zeilberger. (Advances in Applied Mathematics v. 25 (2000), 228-232.)

Symbol-Crunching with the Transfer-Matrix Method in Order to Count Skinny Physical Creatures By Doron Zeilberger. ( INTEGERS, v. 0 (2000), A9) .

1999
Proof Of A Conjecture Of Chan, Robbins, and Yuen By Doron Zeilberger. ( ETNA, (Elec. Trans, of Numerical Analysis) 9(1999), 147-148).

Permutation Patterns and Continued Fractions By Aaron Robertson, Herb Wilf, and Doron Zeilberger. (Appeared in Elec. J. Combinatorics 6 (1999), R38.)

Automated Counting of LEGO Towers. By Doron Zeilberger. (Appeared in J. Difference Eq. Appl. 5 (1999), 323-333).

`The Goulden-Jackson Cluster Method: Extensions, Applications, and Implementations' By John Noonan and Doron Zeilberger. (Appeared in J. Difference Eq. Appl. 5 (1999), 355-377).

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)

Combinatorial Proofs of Bass's Evaluations of the Ihara-Selberg Zeta function of a Graph By Dominique Foata and Doron Zeilberger. (Appeared in Trans. Amer. Math. Soc. 351 (1999), 2257--2274 .)

1998
``Enumeration Schemes, and More Importantly, Their Automatic Generation'' By Doron Zeilberger. (Annals of Combinatorics 2(1998), 185-195.)

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 2-Coloring of [1,N] Can Have (1/22)N^2+O(N) Monochromatic Schur Triples, But Not Less!' By Aaron Robertson and Doron Zeilberger. Electronic Journal of Combinatorics 5(1998), R19.

q-Apery Irrationality Proofs by q-WZ Pairs By Tewodros Amdeberhan and Doron Zeilberger. (Adv. Appl. Math. 20 (1998), 275-283.)

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.

How Much Should a Nineteenth-Century French Bastard Inherit. by Doron Zeilberger (J. Difference Eq. Appl. 3(1998), 385-388. (Special issue in honor of Gerry Ladas.)

A pentagonal number sieve by Sylvie Corteel, Carla Savage, Herbert Wilf and Doron Zeilberger (J. Comb. Theory (Ser.A) 82(1998), 186-192.)

1997
`Proof of a Conjecure about Multisets of Hook Numbers' By Amitai Regev and Doron Zeilberger, (Annals of Combinatorics 1(1997), 391-394).

A classic proof of a recurrence for a very classical sequence By Dominique Foata and Doron Zeilberger. (J. Comb. Theor.-Ser. A., 80(1997), 380-384)

Math Bite: Proof of an Empirical Observation Made by Amos Oz's character by Doron Zeilberger(Math. Magazine 70 No. 4 (Oct. 1997), 291)

`Proof of a Determinant Evaluation Conjectured by Bombieri, Hunt, and van der Poorten' By Christian Krattenthaler and Doron Zeilberger. (New York J. of Math. (Electronic), 3(1997), 54-102.)

The Abstract Lace Expansion By Doron Zeilberger. Adv. Appl. Math. 19(1997), 355-359.

`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.]

A comparison of two methods for random labellings of balls by vectors of integers by Doron Zeilberger (Appeared in Advances in Combinatorial Methods and Applications to Probability and Statistics, N. Balakrishnan, ed., Birkhauser, 1997 (Mohanty Festschrift).)

Dodgson's Determinant-Evaluation Rule Proved by TWO-TIMING MEN and WOMEN. by Doron Zeilberger (Appeared in the Elect. J. of Combinatorics 4(2)(1997), [Wilf Festschrift volume], R22.)

Hypergeometric Series Acceleration via the WZ method By Tewodros Amdeberhan and Doron Zeilberger. (Appeared in the Elect. J. of Combinatorics 4(2) (1997), [Wilf Festschrift volume].), R3

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

1996
The enumeration of permutations with a prescribed number of forbidden patterns by John Noonan and Doron Zeilberger (Advances in Applied Mathematics 17(1996), 381-407)

Self-Avoiding Walks, the language of science, and Fibonacci numbers by Doron Zeilberger (Appeared in J. Stat. Planning and Inference 54(1996), 135-138)

Reverend Charles to the aid of Major Percy and Fields-medalist Enrico by Doron Zeilberger (Appeared in the June 1996(103,no.6) issue of Amer. Math. Monthly, 501-502)

Proof of the refined alternating sign matrix conjecture by Doron Zeilberger (Appeared in New York J. of Mathematics, v. 2 (1996), 59-68)

``The graphical major index'' by Dominique Foata and Doron Zeilberger (appeared in J. Comput. Applied Math (special issue on q-series) 68(1996) 79-101.

The method of undetermined generalization and specialization illustrated with Fred Galvin's amazing proof of the Dinitz conjecture by Doron Zeilberger (Appeared in the Amer. Math. Monthly, March 1996 (103, no. 3), 233-239)

A generalization of a curiosity that Feynman remembered all his life by Bill Beyer, Jim Louck and Doron Zeilberger (Appeared as a Math Bite in Math. Magazine, March 1996)

If A_n has 6n dyes in a box, with which he has to fling at least n sixes, then A_n has an easier task than A_{n+1}, at Eaven Luck by Doron Zeilberger (Appeared as a filler in the AMM, March 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.]

Proof of the alternating sign matrix conjecture(Elec. J. Comb. 3(2)(1996), R13) by Doron Zeilberger

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

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

1995
How Joe Gillis discovered combinatorial special function theory by Doron Zeilberger (Appeard in Math. Intelligencer 17(2) (Spring 1995) 65-66)

Three recitations on holonomic functions and hypergeometric series by Doron Zeilberger ( Originally appeard in the (Elec.) proceedings of the Seminaire Lotharingine v.24, this revised, updated version, appeared in J. Symbolic Comp 20(1995), 699-724.

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)

The J.C.P. Miller Recurrence for exponentiating a polynomial, and its q-Analog by Doron Zeilberger (Appeard in J. Difference Eqs. and Appls. 1(1995), 57-60

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.)

Chu's 1303 identity implies Bombieri's 1990 inequality by Doron Zeilberger [appeard in the Amer. Math. Monthly 101(1994) 894-896 ]

A computer algebra approach to the discrete Dirichlet problem by Craig Orr and Doron Zeilberger (Appeared in J. Symbolic Computation 18(1994), 87-90.

Two EZ proofs of sin^2 z+ cos^2 z=1 by Leon Ehrenpreis and Doron Zeilberger (Appeard as a filler in Amer. Math. Monthly 101(1994), p. 691).

Combinatorial Proofs of Capelli and Turnbull's identities from classical invariant theory by Dominique Foata and Doron Zeilberger (Appeard in Elec. J. Comb. 1(1994), R1.

A constant term identity featuring the ubiquitous (and mysterious) Andrews-Mills-Robbins-Rumsey numbers1,2,7,42,429, ... by Doron Zeilberger (Appeard in J. Combinatorial Theory (ser. A) 66 (1994), 17-27.)

Talmudic lattice path counting by Jane Friedman, Ira Gessel and Doron Zeilberger (Appeard in J. Combinatorial Theory (ser. A) 68 (1994), 215-217.)

Proof of q-analog of a constant term identity conjectured by Forrester by Doron Zeilberger (Appeard in J. Combinatorial Theory (ser. A) 66 (1994), 311-312.)

Towards a WZ proof of Mehta's integral by Doron Zeilberger (Appeard in SIAM J. Math. Anal. 25 (1994) [Askey issue], 812-814.)

1993
Theorems for a price: tomorrow's semi-rigorous mathematical culture by Doron Zeilberger (appeard in the Notices of the Amer. Math. Soc. 40(8)(Oct. 1993), 978-981. Reprinted in the Math. Intelligencer 16(4)(Fall 1994, 11-14, 76)).

On an identity of Daubechies by Doron Zeilberger (Appeard in the Amer. Math. Monthly 100(1993), 487.)

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.)

CLOSED FORM (pun intended!) by Doron Zeilberger (Appeared in Contemporary Math. 143 (1993), 579-608.)

Gert Almkvist's generalization of a mistake of Bourbaki by Doron Zeilberger, (Appeared Contemporary Mathematics 143 (1993), 609-612.)

Identities in search of identity by Doron Zeilberger, (Appeared in J. Theoretical Computer Science, 117 (1993), 23-38.)

A generalization of Odlyzko's conjecture: the coefficients of $(1-q)^{j} /(( 1- q^{2n} ) ... (1- q^{2n+2j} ))$ alternate in sign by Jane Friedman and Doron Zeilberger, (Appeared in Proc. Amer. Math. Soc. 118, 1013 (1993).)

1992
An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral identities by Herb Wilf and Doron Zeilberger. (Appeared in Invent. Math. 108 (1992), 575-633.)

A proof of Julian West's conjecture that the number of 2-stack-sortable permutations of length n is} 2 (3n)! /((2n+1)! (n+1)!) By Doron Zeilberger. (Appeared in: Discrete Math. 102 (1992), 85-93 .)

Random Walk in a Weyl chamber By Ira Gessel and Doron Zeilberger. (Appeared in Proc. Amer. Math. Soc. 115 (1992), 27-31.

Gauss's 2F1(1) cannot be generalized to 2F1(x), By Doron Zeilberger. (Appeared in J. Comp. Appl. Math. 39 (1992) 379-382 .

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