Doron Zeilberger

According to our database, Doron Zeilberger authored at least 99 papers between 1980 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2023

Counting Clean Words According to the Number of Their Clean Neighbors.

Shalosh B. Ekhad, Doron Zeilberger

ACM Commun. Comput. Algebra, March, 2023

How Many Dice Rolls Would It Take to Hit Your Favorite Kind of Number?

Lucy Martinez, Doron Zeilberger

Maple Trans., 2023

Using Generating Functions to Prove Additivity of Gene-Neighborhood Based Phylogenetics - Extended Abstract.

Guy Katriel, Udi Mahanaymi, Christoph Koutschan, Doron Zeilberger, Mike Steel, Sagi Snir

Proceedings of the Bioinformatics Research and Applications - 19th International Symposium, 2023

2022

Numerical and Symbolic Studies of the Peaceable Queens Problem.

Yukun Yao, Doron Zeilberger

Exp. Math., 2022

Exploring General Apéry Limits via the Zudilin-Straub t-transform.

Robert Dougherty-Bliss, Doron Zeilberger

CoRR, 2022

2021

Experimenting with Apéry Limits and WZ pairs.

Robert Dougherty-Bliss, Doron Zeilberger

Maple Trans., 2021

A multi-computational exploration of some games of pure chance.

Thotsaporn "Aek" Thanatipanonda, Doron Zeilberger

J. Symb. Comput., 2021

Polynomial reduction and supercongruences.

Qing-Hu Hou, Yan-Ping Mu, Doron Zeilberger

J. Symb. Comput., 2021

There are EXACTLY 1493804444499093354916284290188948031229880469556 Ways to Derange a Standard Deck of Cards (ignoring suits) [and many other such useful facts].

Shalosh B. Ekhad, Christoph Koutschan, Doron Zeilberger

CoRR, 2021

2019

Polynomial Reduction and Super Congruences.

Qing-Hu Hou, Yan-Ping Mu, Doron Zeilberger

CoRR, 2019

On the maximal minimal cube lengths in distinct DNF tautologies.

Manuel Kauers, Martina Seidl, Doron Zeilberger

CoRR, 2019

2018

On The Limiting Distributions of the Total Height On Families of Trees.

Andrew Lohr, Doron Zeilberger

Integers, 2018

A Combinatorial-Probabilistic Analysis of Bitcoin Attacks.

Evangelos Georgiadis, Doron Zeilberger

CoRR, 2018

A Simple Re-Derivation of Onsager's Solution of the 2D Ising Model using Experimental Mathematics.

Manuel Kauers, Doron Zeilberger

CoRR, 2018

2017

Using the "Freshman's Dream" to Prove Combinatorial Congruences.

Moa Apagodu, Doron Zeilberger

Am. Math. Mon., 2017

Analysis of the Gift Exchange Problem.

Moa Apagodu, David L. Applegate, Neil J. A. Sloane, Doron Zeilberger

Electron. J. Comb., 2017

2016

Factorization of C-finite Sequences.

Manuel Kauers, Doron Zeilberger

CoRR, 2016

2014

A Short Proof of McDougall's Circle Theorem.

Marc Chamberland, Doron Zeilberger

Am. Math. Mon., 2014

2013

Using Noonan-Zeilberger Functional Equations to enumerate (in polynomial time!) generalized Wilf classes.

Brian Nakamura, Doron Zeilberger

Adv. Appl. Math., 2013

Automatic counting of tilings of skinny plane regions.

Shalosh B. Ekhad, Doron Zeilberger

Proceedings of the Surveys in Combinatorics 2013, 2013

2012

Farewell to "W" (Herbert Saul Wilf), a true VISIONARY for whom EVERYTHING was INTERTWINED.

Doron Zeilberger

ACM Commun. Comput. Algebra, 2012

Formulæ for the number of partitions of <i>n</i> into at most <i>m</i> parts (using the quasi-polynomial ansatz).

Andrew V. Sills, Doron Zeilberger

Adv. Appl. Math., 2012

Toward a language theoretic proof of the four color theorem.

Bobbe Cooper, Eric Rowland, Doron Zeilberger

Adv. Appl. Math., 2012

Corrigendum to "The Mahonian probability distribution on words is asymptotically normal" [Adv. in Appl. Math. 46 (1-4) (2011) 109-124].

E. Rodney Canfield, Svante Janson, Doron Zeilberger

Adv. Appl. Math., 2012

2011

A New Algorithm for Proving Global Asymptotic Stability of Rational Difference Equations

Emilie Hogan, Doron Zeilberger

CoRR, 2011

How to Gamble If You're In a Hurry.

Shalosh B. Ekhad, Doron Zeilberger

CoRR, 2011

The computational challenge of enumerating high-dimensional rook walks.

Manuel Kauers, Doron Zeilberger

Adv. Appl. Math., 2011

The Mahonian probability distribution on words is asymptotically normal.

E. Rodney Canfield, Svante Janson, Doron Zeilberger

Adv. Appl. Math., 2011

2010

The 1958 Pekeris-Accad-WEIZAC Ground-Breaking Collaboration that computed Ground States of Two-Electron Atoms (and its 2010 Redux)

Christoph Koutschan, Doron Zeilberger

CoRR, 2010

Proof of George Andrews's and David Robbins's q-TSPP Conjecture.

Christoph Koutschan, Manuel Kauers, Doron Zeilberger

CoRR, 2010

A symbolic computation approach to a problem involving multivariate Poisson distributions.

Eduardo D. Sontag, Doron Zeilberger

Adv. Appl. Math., 2010

Against Rigor.

Doron Zeilberger

Proceedings of the Intelligent Computer Mathematics, 10th International Conference, 2010

2009

Commutation relations and Vandermonde determinants.

Yuri A. Bahturin, Amitai Regev, Doron Zeilberger

Eur. J. Comb., 2009

Efficient Counting and Asymptotics of k-Noncrossing Tangled Diagrams.

William Y. C. Chen, Jing Qin, Christian M. Reidys, Doron Zeilberger

Electron. J. Comb., 2009

2008

Experiments with a Positivity-Preserving Operator.

Manuel Kauers, Doron Zeilberger

Exp. Math., 2008

Computer-generated conjectures(!) and proofs(!!) in combinatorial game theory (abstract only).

Doron Zeilberger, Thotsaporn "Aek" Thanatipanonda

ACM Commun. Comput. Algebra, 2008

Using Rota's Umbral calculus to enumerate Stanley's <i>P</i>-partitions.

Shalosh B. Ekhad, Doron Zeilberger

Adv. Appl. Math., 2008

2007

"Trivializing" Generalizations of some Izergin-Korepin-type Determinants.

Tewodros Amdeberhan, Doron Zeilberger

Discret. Math. Theor. Comput. Sci., 2007

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.

Arvind Ayyer, Doron Zeilberger

Electron. J. Comb., 2007

2006

Disturbing the Dyson Conjecture (in a GOOD Way).

Andrew V. Sills, Doron Zeilberger

Exp. Math., 2006

A proof of Andrews' <i>q</i>-Dyson conjecture.

Doron Zeilberger, David M. Bressoud

Discret. Math., 2006

A fast algorithm for proving terminating hypergeometric identities.

Doron Zeilberger

Discret. Math., 2006

Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharpening of Wilf-Zeilberger theory.

Moa Apagodu, Doron Zeilberger

Adv. Appl. Math., 2006

2005

Sharp upper bounds for the orders of the recurrences output by the Zeilberger and q-Zeilberger algorithms.

Mohamud Mohammed, Doron Zeilberger

J. Symb. Comput., 2005

Dave Robbins' art of guessing.

Doron Zeilberger

Adv. Appl. Math., 2005

2004

The Markov-WZ Method.

Mohamud Mohammed, Doron Zeilberger

Electron. J. Comb., 2004

2003

Computerized deconstruction.

Doron Zeilberger

Adv. Appl. Math., 2003

Liebe Opa Paul, ich bin auch ein experimental Scientist!

Doron Zeilberger

Adv. Appl. Math., 2003

2002

In Memoriam: Rodica Simion (1955-2000).

Joseph E. Bonin, Joseph P. S. Kung, Herbert S. Wilf, Doron Zeilberger

Adv. Appl. Math., 2002

2001

How Berger, Felzenbaum and Fraenkel Revolutionized Covering - Systems the Same Way that George Boole Revolutionized Logic.

Doron Zeilberger

Electron. J. Comb., 2001

The Umbral Transfer-Matrix Method. IV. Counting Self-Avoiding Polygons and Walks.

Doron Zeilberger

Electron. J. Comb., 2001

Three-Rowed CHOMP.

Doron Zeilberger

Adv. Appl. Math., 2001

Introduction: Classical Combinatorics: Special Issue in Honor of Dominique Foata.

Joseph P. S. Kung, Aaron Robertson, Doron Zeilberger

Adv. Appl. Math., 2001

Babson-Steingrı'msson Statistics are Indeed Mahonian (and Sometimes Even Euler-Mahonian).

Dominique Foata, Doron Zeilberger

Adv. Appl. Math., 2001

Determinants through the Looking Glass.

Tewodros Amdeberhan, Doron Zeilberger

Adv. Appl. Math., 2001

2000

Partitions and Pentagonal Numbers: 10628.

George E. Andrews, Kee-Wai Lau, G. L. Body, David Callan, Robin J. Chapman, G. Lord, Heinz-Jürgen Seiffert, Doron Zeilberger

Am. Math. Mon., 2000

The Umbral Transfer-Matrix Method. I. Foundations.

Doron Zeilberger

J. Comb. Theory, Ser. A, 2000

The Goulden-Jackson Cluster Method for Cyclic Words.

Anne E. Edlin, Doron Zeilberger

Adv. Appl. Math., 2000

1999

Permutation Patterns and Continued Fractions.

Aaron Robertson, Herbert S. Wilf, Doron Zeilberger

Electron. J. Comb., 1999

1998

A Pentagonal Number Sieve.

Sylvie Corteel, Carla D. Savage, Herbert S. Wilf, Doron Zeilberger

J. Comb. Theory, Ser. A, 1998

A 2-Coloring of [1, N] Can Have (1/22)N2+O(N) Monochromatic Schur Triples, But Not less!

Aaron Robertson, Doron Zeilberger

Electron. J. Comb., 1998

A Binomial Coefficient Identity Associated to a Conjecture of Beukers.

Scott Ahlgren, Shalosh B. Ekhad, Ken Ono, Doron Zeilberger

Electron. J. Comb., 1998

1997

A Classic Proof of a Recurrence for a Very Classical Sequence.

Dominique Foata, Doron Zeilberger

J. Comb. Theory, Ser. A, 1997

Dodgson's Determinant-Evaluation Rule Proved by TWO-TIMING MEN and WOMEN.

Doron Zeilberger

Electron. J. Comb., 1997

Hypergeometric series acceleration via the WZ method.

Tewodros Amdeberhan, Doron Zeilberger

Electron. J. Comb., 1997

1996

Proof of the alternating sign matrix conjecture.

Doron Zeilberger

Electron. J. Comb., 1996

The Number of Solutions of X^2=0 in Triangular Matrices Over GF(q).

Shalosh B. Ekhad, Doron Zeilberger

Electron. J. Comb., 1996

1995

Three Recitations on Holonomic Systems and Hypergeometric Series.

Doron Zeilberger

J. Symb. Comput., 1995

1994

A Computer Algebra Approach to the Discrete Dirichlet Problem.

Craig R. Orr, Doron Zeilberger

J. Symb. Comput., 1994

Proof of a q-Analog of a Constant Term Identity Conjectured by Forrester.

Doron Zeilberger

J. Comb. Theory, Ser. A, 1994

A Constant Term Identity Featuring the Ubiquitous (and Mysterious) Andrews-Mills-Robbins-Rumsey Numbers 1, 2, 7, 42, 429, ...

Doron Zeilberger

J. Comb. Theory, Ser. A, 1994

Talmudic Lattice Path Counting.

Jane Friedman, Ira M. Gessel, Doron Zeilberger

J. Comb. Theory, Ser. A, 1994

Combinatorial Proofs of Capelli's and Turnbull's identities from Classical Invariant Theory.

Dominique Foata, Doron Zeilberger

Electron. J. Comb., 1994

1993

Identities in Search of Identity.

Doron Zeilberger

Theor. Comput. Sci., 1993

1992

Special Issue: Symbolic Computation in Combinatorics - Foreword of the Guest Editors.

Peter Paule, Doron Zeilberger

J. Symb. Comput., 1992

A proof of Julian West's conjecture that the number of two-stacksortable permutations of length n is 2(3n)!/((n + 1)!(2n + 1)!).

Doron Zeilberger

Discret. Math., 1992

1991

The Method of Creative Telescoping.

Doron Zeilberger

J. Symb. Comput., 1991

A maple program for proving hypergeometric identities.

Doron Zeilberger

SIGSAM Bull., 1991

A maple program that finds, and proves, recurrences and differential equations satisfied by hyperexponential definite integrals.

Gert Almkvist, Doron Zeilberger

SIGSAM Bull., 1991

1990

The Method of Differentiating under the Integral Sign.

Gert Almkvist, Doron Zeilberger

J. Symb. Comput., 1990

A bijection from ordered trees to binary trees that sends the pruning order to the strahler number.

Doron Zeilberger

Discret. Math., 1990

A Stembridge-Stanton style elementary proof of the Habsieger-Kadell q-Morris identity.

Doron Zeilberger

Discret. Math., 1990

1988

Laguerre Polynomials, Weighted Derangements, and Positivity.

Dominique Foata, Doron Zeilberger

SIAM J. Discret. Math., 1988

1987

A q-Foata Proof of the q-Saalschütz Identity.

Doron Zeilberger

Eur. J. Comb., 1987

Enumerating totally clean words.

Doron Zeilberger

Discret. Math., 1987

1986

A bijective proof of Cassini's Fibonacci identity.

M. Werman, Doron Zeilberger

Discret. Math., 1986

1985

Some Asymptotic Bijections.

Edward A. Bender, Doron Zeilberger

J. Comb. Theory, Ser. A, 1985

A proof of Andrews' q-Dyson conjecture.

Doron Zeilberger, David M. Bressoud

Discret. Math., 1985

A combinatorial approach to matrix algebra.

Doron Zeilberger

Discret. Math., 1985

1984

A combinatorial proof of Newton's identities.

Doron Zeilberger

Discret. Math., 1984

Garsia and Milne's bijective proof of the inclusion-exclusion principle.

Doron Zeilberger

Discret. Math., 1984

A short hook-lengths bijection inspired by the Greene-Nijenhuis-Wilf proof.

Doron Zeilberger

Discret. Math., 1984

1983

A Direct Combinatorial Proof of a Positivity Result.

J. Gillis, Doron Zeilberger

Eur. J. Comb., 1983

Andre's reflection proof generalized to the many-candidate ballot problem.

Doron Zeilberger

Discret. Math., 1983

1982

A Bijective Proof of the Hook-Length Formula.

Deborah S. Franzblau, Doron Zeilberger

J. Algorithms, 1982

A combinatorial proof of Dyson's conjecture.

Doron Zeilberger

Discret. Math., 1982

A short Rogers-Ramanujan bijection.

David M. Bressoud, Doron Zeilberger

Discret. Math., 1982

1981

Enumeration of words by their number of mistakes.

Doron Zeilberger

Discret. Math., 1981

1980

Partial difference equations in m₁>=m₂>= ... >=m_n>=0 and their applications to combinatorics.

Doron Zeilberger

Discret. Math., 1980