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Mathematics

D-Index
41
Citations
8319
World Ranking
1887
National Ranking
803

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1998 - Steele Prize for Seminal Contribution to Research

Overview

Doron Zeilberger is affiliated with Rutgers, The State University of New Jersey in the United States. Their research distinctly spans several fields, primarily focusing on mathematics and computer science. Their work contributes extensively to subfields such as algebra and number theory, computational theory and mathematics, discrete mathematics and combinatorics, artificial intelligence, and geometry and topology.

Zeilberger's research themes highlight significant topics including advanced combinatorial mathematics, advanced mathematical identities, the history and theory of mathematics, analytic number theory research, mathematics and applications, algorithms and data compression, and polynomial and algebraic computation.

Their recent publications illustrate ongoing work in these areas. Notable papers include:

  • "Human and automated approaches for finite trigonometric sums" (2022), published in The Ramanujan Journal
  • "Automatic Counting of Restricted Dyck Paths via (Numeric and Symbolic) Dynamic Programming" (2020), published in arXiv (Cornell University)
  • "Gene Transfer-Based Phylogenetics: Analytical Expressions and Additivity via Birth-Death Theory" (2023), published in Systematic Biology
  • "Automatic conjecturing and proving of exact values of some infinite families of infinite continued fractions" (2021), published in The Ramanujan Journal
  • "Tweaking the Beukers integrals in search of more miraculous irrationality proofs a la Apéry" (2022), published in The Ramanujan Journal

Zeilberger frequently collaborates with several co-authors. These include Shalosh B. Ekhad, Robert Dougherty-Bliss, Christoph Koutschan, George Spahn, and Lucy Martinez, reflecting a diverse network of academic cooperation.

Their works are commonly published in venues such as arXiv (Cornell University), Enumerative Combinatorics and Applications, The Ramanujan Journal, Maple Transactions, and the Journal of Symbolic Computation.

Their contributions have been recognized by awards such as the Steele Prize for Seminal Contribution to Research in 1998 and being named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • A holonomic systems approach to special functions identities

    Doron Zeilberger

  • The method of creative telescoping

    Doron Zeilberger

  • An algorithmic proof theory for hypergeometric (ordinary and “q”) multisum/integral identities

    Herbert S. Wilf;Herbert S. Wilf;Doron Zeilberger;Doron Zeilberger

  • Proof of the Alternating Sign Matrix Conjecture

    Doron Zeilberger

  • A fast algorithm for proving terminating hypergeometric identities

    Doron Zeilberger

  • Rational functions certify combinatorial identities

    Herbert S. Wilf;Doron Zeilberger

  • The method of differentiating under the integral sign

    Gert Almkvist;Doron Zeilberger

  • Resurrecting the asymptotics of linear recurrences

    Jet Wimp;Doron Zeilberger

  • Random walk in a Weyl chamber

    Ira M. Gessel;Doron Zeilberger

  • Proof of the refined alternating sign matrix conjecture.

    Doron Zeilberger

  • The Goulden—Jackson cluster method: extensions, applications and implementations

    John Noonan;Doron Zeilberger

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

    Moa Apagodu;Doron Zeilberger

  • Denert's permutation statistic is indeed Euler-Mahonian

    Dominique Foata;Doron Zeilberger

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

    Doron Zeilberger

  • A Combinatorial Proof of Bass’s Evaluations of the Ihara-Selberg Zeta Function for Graphs

    Dominique Foata;Doron Zeilberger

  • A combinatorial approach to matrix algebra

    Doron Zeilberger

  • The Enumeration of Permutations with a Prescribed Number of “Forbidden” Patterns

    John Noonan;Doron Zeilberger

  • Kathy O'Hara's constructive proof of the unimodality of the Gaussian polynomials

    D. Zeilberger

  • A proof of Andrews'q-Dyson conjecture

    Doron Zeilberger;David M. Bressoud

  • Theorems for a price: tomorrow’s semi-rigorous mathematical culture

    Doron Zeilberger;George E. Andrews

Frequent Co-Authors

Herbert S. Wilf
Herbert S. Wilf University of Pennsylvania
Svante Janson
Svante Janson Uppsala University
Neil J. A. Sloane
Neil J. A. Sloane OEIS Foundation Inc.
George E. Andrews
George E. Andrews Pennsylvania State University
Ira M. Gessel
Ira M. Gessel Brandeis University
Dennis Stanton
Dennis Stanton University of Minnesota
Ken Ono
Ken Ono University of Virginia
Wadim Zudilin
Wadim Zudilin Radboud University
Stavros Garoufalidis
Stavros Garoufalidis Max Planck Institute for Mathematics
Eduardo D. Sontag
Eduardo D. Sontag Northeastern University

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