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ORCIDDoron Zeilberger
דורון ציילברגר
Person information
- unicode name: דורון ציילברגר
- affiliation: Rutgers University, Department of Mathematics, Piscataway, NJ, USA
- award (2004): Euler Medal
- not to be confused with: Shalosh B. Ekhad
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Journal Articles
- 2025
[j88]George Spahn, Doron Zeilberger:
Enumerating seating arrangements that obey social distancing. J. Symb. Comput. 126: 102344 (2025)- 2024
- [j87]Shalosh B. Ekhad, Doron Zeilberger:
Experimenting with Standard Young Tableaux. Math. Comput. Sci. 18(2): 10 (2024) - 2023
- [j86]Shalosh B. Ekhad, Doron Zeilberger:
Counting Clean Words According to the Number of Their Clean Neighbors. ACM Commun. Comput. Algebra 57(1): 5-9 (2023) - [j85]Lucy Martinez
, Doron Zeilberger:
How Many Dice Rolls Would It Take to Hit Your Favorite Kind of Number? Maple Trans. 3(3) (2023) - 2022
- [j84]Yukun Yao, Doron Zeilberger:
Numerical and Symbolic Studies of the Peaceable Queens Problem. Exp. Math. 31(1): 269-279 (2022) - 2021
- [j83]Qing-Hu Hou, Yan-Ping Mu, Doron Zeilberger:
Polynomial reduction and supercongruences. J. Symb. Comput. 103: 127-140 (2021) - [j82]Thotsaporn "Aek" Thanatipanonda, Doron Zeilberger:
A multi-computational exploration of some games of pure chance. J. Symb. Comput. 104: 38-68 (2021) - [j81]Robert Dougherty-Bliss, Doron Zeilberger:
Experimenting with Apéry Limits and WZ pairs. Maple Trans. 1(2) (2021) - 2018
- [j80]Andrew Lohr, Doron Zeilberger:
On The Limiting Distributions of the Total Height On Families of Trees. Integers 18: A32 (2018) - 2017
- [j79]Moa Apagodu, David L. Applegate, Neil J. A. Sloane, Doron Zeilberger:
Analysis of the Gift Exchange Problem. Electron. J. Comb. 24(3): 3 (2017) - [j78]Moa Apagodu, Doron Zeilberger:
Using the "Freshman's Dream" to Prove Combinatorial Congruences. Am. Math. Mon. 124(7): 597-608 (2017) - 2014
- [j77]Marc Chamberland, Doron Zeilberger:
A Short Proof of McDougall's Circle Theorem. Am. Math. Mon. 121(3): 263-265 (2014) - 2013
- [j76]Brian Nakamura, Doron Zeilberger:
Using Noonan-Zeilberger Functional Equations to enumerate (in polynomial time!) generalized Wilf classes. Adv. Appl. Math. 50(3): 356-366 (2013) - 2012
- [j75]Bobbe Cooper, Eric Rowland, Doron Zeilberger:
Toward a language theoretic proof of the four color theorem. Adv. Appl. Math. 48(2): 414-431 (2012) - [j74]Andrew V. Sills, Doron Zeilberger:
Formulæ for the number of partitions of n into at most m parts (using the quasi-polynomial ansatz). Adv. Appl. Math. 48(5): 640-645 (2012) - [j73]E. Rodney Canfield, Svante Janson, Doron Zeilberger:
Corrigendum to "The Mahonian probability distribution on words is asymptotically normal" [Adv. in Appl. Math. 46 (1-4) (2011) 109-124]. Adv. Appl. Math. 49(1): 77 (2012) - [j72]Doron Zeilberger:
Farewell to "W" (Herbert Saul Wilf), a true VISIONARY for whom EVERYTHING was INTERTWINED. ACM Commun. Comput. Algebra 46(1/2): 12-13 (2012) - 2011
- [j71]E. Rodney Canfield, Svante Janson, Doron Zeilberger:
The Mahonian probability distribution on words is asymptotically normal. Adv. Appl. Math. 46(1-4): 109-124 (2011) - [j70]Manuel Kauers, Doron Zeilberger:
The computational challenge of enumerating high-dimensional rook walks. Adv. Appl. Math. 47(4): 813-819 (2011) - 2010
- [j69]Eduardo D. Sontag, Doron Zeilberger:
A symbolic computation approach to a problem involving multivariate Poisson distributions. Adv. Appl. Math. 44(4): 359-377 (2010) - 2009
- [j68]William Y. C. Chen, Jing Qin, Christian M. Reidys, Doron Zeilberger:
Efficient Counting and Asymptotics of k-Noncrossing Tangled Diagrams. Electron. J. Comb. 16(1) (2009) - [j67]Yuri A. Bahturin, Amitai Regev, Doron Zeilberger:
Commutation relations and Vandermonde determinants. Eur. J. Comb. 30(5): 1271-1276 (2009) - 2008
- [j66]Shalosh B. Ekhad, Doron Zeilberger:
Using Rota's Umbral calculus to enumerate Stanley's P-partitions. Adv. Appl. Math. 41(2): 206-213 (2008) - [j65]Doron Zeilberger, Thotsaporn "Aek" Thanatipanonda:
Computer-generated conjectures(!) and proofs(!!) in combinatorial game theory (abstract only). ACM Commun. Comput. Algebra 42(1-2): 19-20 (2008) - [j64]Manuel Kauers, Doron Zeilberger:
Experiments with a Positivity-Preserving Operator. Exp. Math. 17(3): 341-345 (2008) - 2007
- [j63]Arvind Ayyer, Doron Zeilberger:
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. Electron. J. Comb. 14(1) (2007) - [j62]Tewodros Amdeberhan, Doron Zeilberger:
"Trivializing" Generalizations of some Izergin-Korepin-type Determinants. Discret. Math. Theor. Comput. Sci. 9(1) (2007) - 2006
- [j61]Moa Apagodu, Doron Zeilberger:
Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharpening of Wilf-Zeilberger theory. Adv. Appl. Math. 37(2): 139-152 (2006) - [j60]Doron Zeilberger, David M. Bressoud:
A proof of Andrews' q-Dyson conjecture. Discret. Math. 306(10-11): 1039-1059 (2006) - [j59]Doron Zeilberger:
A fast algorithm for proving terminating hypergeometric identities. Discret. Math. 306(10-11): 1072-1075 (2006) - [j58]Andrew V. Sills, Doron Zeilberger:
Disturbing the Dyson Conjecture (in a GOOD Way). Exp. Math. 15(2): 187-191 (2006) - 2005
- [j57]Doron Zeilberger:
Dave Robbins' art of guessing. Adv. Appl. Math. 34(4): 939-954 (2005) - [j56]Mohamud Mohammed, Doron Zeilberger:
Sharp upper bounds for the orders of the recurrences output by the Zeilberger and q-Zeilberger algorithms. J. Symb. Comput. 39(2): 201-207 (2005) - 2004
- [j55]Mohamud Mohammed, Doron Zeilberger:
The Markov-WZ Method. Electron. J. Comb. 11(1) (2004) - 2003
- [j54]Doron Zeilberger:
Computerized deconstruction. Adv. Appl. Math. 30(4): 633-654 (2003) - [j53]Doron Zeilberger:
Liebe Opa Paul, ich bin auch ein experimental Scientist! Adv. Appl. Math. 31(3): 532-543 (2003) - 2002
- [j52]Joseph E. Bonin, Joseph P. S. Kung, Herbert S. Wilf, Doron Zeilberger:
In Memoriam: Rodica Simion (1955-2000). Adv. Appl. Math. 28(3-4): 279 (2002) - 2001
- [j51]Doron Zeilberger:
Three-Rowed CHOMP. Adv. Appl. Math. 26(2): 168-179 (2001) - [j50]Joseph P. S. Kung, Aaron Robertson, Doron Zeilberger:
Introduction: Classical Combinatorics: Special Issue in Honor of Dominique Foata. Adv. Appl. Math. 27(Issues): 207-209 (2001) - [j49]Tewodros Amdeberhan, Doron Zeilberger:
Determinants through the Looking Glass. Adv. Appl. Math. 27(Issues): 225-230 (2001) - [j48]Dominique Foata, Doron Zeilberger:
Babson-Steingrı'msson Statistics are Indeed Mahonian (and Sometimes Even Euler-Mahonian). Adv. Appl. Math. 27(Issues): 390-404 (2001) - [j47]Doron Zeilberger:
The Umbral Transfer-Matrix Method. IV. Counting Self-Avoiding Polygons and Walks. Electron. J. Comb. 8(1) (2001) - [j46]Doron Zeilberger:
How Berger, Felzenbaum and Fraenkel Revolutionized Covering - Systems the Same Way that George Boole Revolutionized Logic. Electron. J. Comb. 8(2) (2001) - 2000
- [j45]Anne E. Edlin, Doron Zeilberger:
The Goulden-Jackson Cluster Method for Cyclic Words. Adv. Appl. Math. 25(2): 228-232 (2000) - [j44]Doron Zeilberger:
The Umbral Transfer-Matrix Method. I. Foundations. J. Comb. Theory A 91(1-2): 451-463 (2000) - [j43]George E. Andrews, Kee-Wai Lau, G. L. Body, David Callan, Robin J. Chapman, G. Lord, Heinz-Jürgen Seiffert, Doron Zeilberger:
Partitions and Pentagonal Numbers: 10628. Am. Math. Mon. 107(1): 86-87 (2000) - 1999
- [j42]Aaron Robertson, Herbert S. Wilf, Doron Zeilberger:
Permutation Patterns and Continued Fractions. Electron. J. Comb. 6 (1999) - 1998
- [j41]Scott Ahlgren, Shalosh B. Ekhad, Ken Ono, Doron Zeilberger:
A Binomial Coefficient Identity Associated to a Conjecture of Beukers. Electron. J. Comb. 5 (1998) - [j40]Aaron Robertson, Doron Zeilberger:
A 2-Coloring of [1, N] Can Have (1/22)N2+O(N) Monochromatic Schur Triples, But Not less! Electron. J. Comb. 5 (1998) - [j39]Sylvie Corteel, Carla D. Savage, Herbert S. Wilf, Doron Zeilberger:
A Pentagonal Number Sieve. J. Comb. Theory A 82(2): 186-192 (1998) - 1997
- [j38]Tewodros Amdeberhan, Doron Zeilberger:
Hypergeometric series acceleration via the WZ method. Electron. J. Comb. 4(2) (1997) - [j37]Doron Zeilberger:
Dodgson's Determinant-Evaluation Rule Proved by TWO-TIMING MEN and WOMEN. Electron. J. Comb. 4(2) (1997) - [j36]Dominique Foata, Doron Zeilberger:
A Classic Proof of a Recurrence for a Very Classical Sequence. J. Comb. Theory A 80(2): 380-384 (1997) - 1996
- [j35]Shalosh B. Ekhad, Doron Zeilberger:
The Number of Solutions of X^2=0 in Triangular Matrices Over GF(q). Electron. J. Comb. 3(1) (1996) - [j34]Doron Zeilberger:
Proof of the alternating sign matrix conjecture. Electron. J. Comb. 3(2) (1996) - 1995
- [j33]Doron Zeilberger:
Three Recitations on Holonomic Systems and Hypergeometric Series. J. Symb. Comput. 20(5/6): 699-724 (1995) - 1994
- [j32]Dominique Foata, Doron Zeilberger:
Combinatorial Proofs of Capelli's and Turnbull's identities from Classical Invariant Theory. Electron. J. Comb. 1 (1994) - [j31]Doron Zeilberger:
A Constant Term Identity Featuring the Ubiquitous (and Mysterious) Andrews-Mills-Robbins-Rumsey Numbers 1, 2, 7, 42, 429, ... J. Comb. Theory A 66(1): 17-27 (1994) - [j30]Doron Zeilberger:
Proof of a q-Analog of a Constant Term Identity Conjectured by Forrester. J. Comb. Theory A 66(2): 311-312 (1994) - [j29]Jane Friedman, Ira M. Gessel, Doron Zeilberger:
Talmudic Lattice Path Counting. J. Comb. Theory A 68(1): 215-217 (1994) - [j28]Craig R. Orr, Doron Zeilberger:
A Computer Algebra Approach to the Discrete Dirichlet Problem. J. Symb. Comput. 18(1): 87-90 (1994) - 1993
- [j27]Doron Zeilberger:
Identities in Search of Identity. Theor. Comput. Sci. 117(1&2): 23-38 (1993) - 1992
- [j26]Doron Zeilberger:
A proof of Julian West's conjecture that the number of two-stacksortable permutations of length n is 2(3n)!/((n + 1)!(2n + 1)!). Discret. Math. 102(1): 85-93 (1992) - [j25]Peter Paule, Doron Zeilberger:
Special Issue: Symbolic Computation in Combinatorics - Foreword of the Guest Editors. J. Symb. Comput. 14(2/3): 123-126 (1992) - 1991
- [j24]Doron Zeilberger:
A maple program for proving hypergeometric identities. SIGSAM Bull. 25(3): 4-13 (1991) - [j23]Gert Almkvist, Doron Zeilberger:
A maple program that finds, and proves, recurrences and differential equations satisfied by hyperexponential definite integrals. SIGSAM Bull. 25(3): 14-17 (1991) - [j22]Doron Zeilberger:
The Method of Creative Telescoping. J. Symb. Comput. 11(3): 195-204 (1991) - 1990
- [j21]Doron Zeilberger:
A Stembridge-Stanton style elementary proof of the Habsieger-Kadell q-Morris identity. Discret. Math. 79(3): 313-322 (1990) - [j20]Doron Zeilberger:
A fast algorithm for proving terminating hypergeometric identities. Discret. Math. 80(2): 207-211 (1990) - [j19]Doron Zeilberger:
A bijection from ordered trees to binary trees that sends the pruning order to the strahler number. Discret. Math. 82(1): 89-92 (1990) - [j18]Gert Almkvist, Doron Zeilberger:
The Method of Differentiating under the Integral Sign. J. Symb. Comput. 10(6): 571-592 (1990) - 1988
- [j17]Dominique Foata, Doron Zeilberger:
Laguerre Polynomials, Weighted Derangements, and Positivity. SIAM J. Discret. Math. 1(4): 425-433 (1988) - 1987
- [j16]Doron Zeilberger:
Enumerating totally clean words. Discret. Math. 64(2-3): 313-315 (1987) - [j15]Doron Zeilberger:
A q-Foata Proof of the q-Saalschütz Identity. Eur. J. Comb. 8(4): 461-463 (1987) - 1986
- [j14]M. Werman, Doron Zeilberger:
A bijective proof of Cassini's Fibonacci identity. Discret. Math. 58(1): 109 (1986) - 1985
- [j13]Doron Zeilberger, David M. Bressoud:
A proof of Andrews' q-Dyson conjecture. Discret. Math. 54(2): 201-224 (1985) - [j12]Doron Zeilberger:
A combinatorial approach to matrix algebra. Discret. Math. 56(1): 61-72 (1985) - [j11]Edward A. Bender, Doron Zeilberger:
Some Asymptotic Bijections. J. Comb. Theory A 38(1): 96-98 (1985) - 1984
- [j10]Doron Zeilberger:
A combinatorial proof of Newton's identities. Discret. Math. 49(3): 319 (1984) - [j9]Doron Zeilberger:
A short hook-lengths bijection inspired by the Greene-Nijenhuis-Wilf proof. Discret. Math. 51(1): 101-108 (1984) - [j8]Doron Zeilberger:
Garsia and Milne's bijective proof of the inclusion-exclusion principle. Discret. Math. 51(1): 109-110 (1984) - 1983
- [j7]Doron Zeilberger:
Andre's reflection proof generalized to the many-candidate ballot problem. Discret. Math. 44(3): 325-326 (1983) - [j6]J. Gillis, Doron Zeilberger:
A Direct Combinatorial Proof of a Positivity Result. Eur. J. Comb. 4(3): 221-223 (1983) - 1982
- [j5]David M. Bressoud, Doron Zeilberger:
A short Rogers-Ramanujan bijection. Discret. Math. 38(2-3): 313-315 (1982) - [j4]Doron Zeilberger:
A combinatorial proof of Dyson's conjecture. Discret. Math. 41(3): 317-321 (1982) - [j3]Deborah S. Franzblau, Doron Zeilberger:
A Bijective Proof of the Hook-Length Formula. J. Algorithms 3(4): 317-343 (1982) - 1981
- [j2]Doron Zeilberger:
Enumeration of words by their number of mistakes. Discret. Math. 34(1): 89-91 (1981) - 1980
- [j1]Doron Zeilberger:
Partial difference equations in m1>=m2>= ... >=mn>=0 and their applications to combinatorics. Discret. Math. 31(1): 65-77 (1980)
Conference and Workshop Papers
- 2023
- [c2]Guy Katriel, Udi Mahanaymi, Christoph Koutschan, Doron Zeilberger, Mike A. Steel, Sagi Snir:
Using Generating Functions to Prove Additivity of Gene-Neighborhood Based Phylogenetics - Extended Abstract. ISBRA 2023: 120-135 - 2010
- [c1]Doron Zeilberger:
Against Rigor. AISC/MKM/Calculemus 2010: 262
Parts in Books or Collections
- 2013
- [p1]Shalosh B. Ekhad, Doron Zeilberger:
Automatic counting of tilings of skinny plane regions. Surveys in Combinatorics 2013: 363-378
Informal and Other Publications
- 2024
- [i12]Tipaluck Krityakierne, Thotsaporn Thanatipanonda, Doron Zeilberger:
von Neumann and Newman Pokers with Finite Decks. CoRR abs/2407.16155 (2024) - 2022
- [i11]Robert Dougherty-Bliss, Doron Zeilberger:
Exploring General Apéry Limits via the Zudilin-Straub t-transform. CoRR abs/2205.13601 (2022) - 2021
- [i10]Shalosh B. Ekhad, Christoph Koutschan, Doron Zeilberger:
There are EXACTLY 1493804444499093354916284290188948031229880469556 Ways to Derange a Standard Deck of Cards (ignoring suits) [and many other such useful facts]. CoRR abs/2101.10147 (2021) - 2019
- [i9]Manuel Kauers, Martina Seidl, Doron Zeilberger:
On the maximal minimal cube lengths in distinct DNF tautologies. CoRR abs/1902.03431 (2019) - [i8]Qing-Hu Hou, Yan-Ping Mu, Doron Zeilberger:
Polynomial Reduction and Super Congruences. CoRR abs/1907.09391 (2019) - 2018
- [i7]Manuel Kauers, Doron Zeilberger:
A Simple Re-Derivation of Onsager's Solution of the 2D Ising Model using Experimental Mathematics. CoRR abs/1805.09057 (2018) - [i6]Evangelos Georgiadis, Doron Zeilberger:
A Combinatorial-Probabilistic Analysis of Bitcoin Attacks. CoRR abs/1808.05255 (2018) - 2016
- [i5]Manuel Kauers, Doron Zeilberger:
Factorization of C-finite Sequences. CoRR abs/1601.02756 (2016) - 2011
- [i4]Emilie Hogan, Doron Zeilberger:
A New Algorithm for Proving Global Asymptotic Stability of Rational Difference Equations. CoRR abs/1106.0932 (2011) - [i3]Shalosh B. Ekhad, Doron Zeilberger:
How to Gamble If You're In a Hurry. CoRR abs/1112.1645 (2011) - 2010
- [i2]Christoph Koutschan, Manuel Kauers, Doron Zeilberger:
Proof of George Andrews's and David Robbins's q-TSPP Conjecture. CoRR abs/1002.4384 (2010) - [i1]Christoph Koutschan, Doron Zeilberger:
The 1958 Pekeris-Accad-WEIZAC Ground-Breaking Collaboration that computed Ground States of Two-Electron Atoms (and its 2010 Redux). CoRR abs/1006.0200 (2010)
Coauthor Index
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