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D-Index & Metrics

Mathematics

D-Index
41
Citations
8319
World Ranking
1887
National Ranking
804

Doron Zeilberger publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Doron Zeilberger sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 366 publications — 92nd percentile

92% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Doron Zeilberger D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Doron Zeilberger sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 41 D-Index — 49th percentile

49% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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