Doron Zeilberger - Publications

Affiliations: 
Temple University, Philadelphia, PA, United States 
Area:
Mathematics

82 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Thanatipanonda T“, Zeilberger D. A multi-computational exploration of some games of pure chance Journal of Symbolic Computation. DOI: 10.1016/J.Jsc.2020.04.003  0.314
2020 Yang M, Zeilberger D. Increasing consecutive patterns in words Journal of Algebraic Combinatorics. 51: 89-101. DOI: 10.1007/S10801-018-0868-5  0.324
2017 Apagodu M, Zeilberger D. Using the “Freshman's Dream” to Prove Combinatorial Congruences American Mathematical Monthly. 124: 597-608. DOI: 10.4169/Amer.Math.Monthly.124.7.597  0.35
2017 Apagodu M, Applegate DL, Sloane NJA, Zeilberger D. Analysis of the gift exchange problem Electronic Journal of Combinatorics. 24: 3-9. DOI: 10.37236/6780  0.339
2017 Zaleski A, Zeilberger D. Explicit expressions for the expectation, variance and higher moments of the size of a (2n + 1, 2n + 3)-core partition with distinct parts Journal of Difference Equations and Applications. 23: 1241-1254. DOI: 10.1080/10236198.2017.1318864  0.346
2016 Chen WYC, Hou QH, Zeilberger D. Automated discovery and proof of congruence theorems for partial sums of combinatorial sequences Journal of Difference Equations and Applications. 22: 780-788. DOI: 10.1080/10236198.2016.1142541  0.32
2016 Regev A, Zeilberger D. Identities in character tables of Sn Journal of Difference Equations and Applications. 22: 272-279. DOI: 10.1080/10236198.2015.1081386  0.364
2016 Shar N, Zeilberger D. The (Ordinary) Generating Functions Enumerating 123-Avoiding Words with r Occurrences of Each of 1, 2,.. , n Are Always Algebraic Annals of Combinatorics. 20: 387-396. DOI: 10.1007/S00026-016-0308-Y  0.373
2015 Janson S, Nakamura B, Zeilberger D. On the asymptotic statistics of the number of occurrences of multiple permutation patterns The Journal of Combinatorics. 6: 117-143. DOI: 10.4310/Joc.2015.V6.N1.A8  0.318
2014 Chamberland M, Zeilberger D. A short proof of McDougall's circle theorem American Mathematical Monthly. 121: 263-265. DOI: 10.4169/Amer.Math.Monthly.121.03.263  0.361
2014 Rowland E, Zeilberger D. A case study in meta-automation: automatic generation of congruence automata for combinatorial sequences Journal of Difference Equations and Applications. 20: 973-988. DOI: 10.1080/10236198.2013.876422  0.34
2014 Ekhad SB, Zeilberger D. How to generate as many Somos-like miracles as you wish† Journal of Difference Equations and Applications. 20: 852-858. DOI: 10.1080/10236198.2013.823956  0.325
2013 Gnang EK, Zeilberger D. Zeroless arithmetic: Representing integers ONLY using ONE Journal of Difference Equations and Applications. 19: 1921-1926. DOI: 10.1080/10236198.2013.791288  0.314
2013 Sills AV, Zeilberger D. Rademacher's infinite partial fraction conjecture is (almost certainly) false Journal of Difference Equations and Applications. 19: 680-689. DOI: 10.1080/10236198.2012.678837  0.347
2013 Nakamura B, Zeilberger D. Using Noonan-Zeilberger functional equations to enumerate (in polynomial time!) generalized Wilf classes Advances in Applied Mathematics. 50: 356-366. DOI: 10.1016/J.Aam.2012.10.003  0.336
2012 Sills AV, Zeilberger D. Formulæ for the number of partitions of n into at most m parts (using the quasi-polynomial ansatz) Advances in Applied Mathematics. 48: 640-645. DOI: 10.1016/J.Aam.2011.12.003  0.311
2012 Cooper B, Rowland E, Zeilberger D. Toward a language theoretic proof of the four color theorem Advances in Applied Mathematics. 48: 414-431. DOI: 10.1016/J.Aam.2011.11.002  0.32
2011 Koutschan C, Kauers M, Zeilberger D. Proof of George Andrews's and David Robbins's q-TSPP conjecture Proceedings of the National Academy of Sciences of the United States of America. 108: 2196-2199. DOI: 10.1073/Pnas.1019186108  0.354
2011 Canfield ER, Janson S, Zeilberger D. The Mahonian probability distribution on words is asymptotically normal Advances in Applied Mathematics. 46: 109-124. DOI: 10.1016/J.Aam.2009.10.001  0.34
2009 Thanatipanonda T, Zeilberger D. A symbolic finite-state approach for automated proving of theorems in combinatorial game theory Journal of Difference Equations and Applications. 15: 111-118. DOI: 10.1080/10236190802006423  0.307
2009 Kauers M, Koutschan C, Zeilberger D. Proof of Ira Gessel's lattice path conjecture Proceedings of the National Academy of Sciences of the United States of America. 106: 11502-11505. DOI: 10.1073/Pnas.0901678106  0.304
2009 Wood PM, Zeilberger D. A translation method for finding combinatorial bijections Annals of Combinatorics. 13: 383-402. DOI: 10.1007/S00026-009-0024-Y  0.325
2008 Zeilberger D, Thanatipanonda T". Computer-generated conjectures(!) and proofs(!!) in combinatorial game theory (II) (abstract only) Acm Communications in Computer Algebra. 42: 19-20. DOI: 10.1145/1394042.1394054  0.301
2007 Ayyer A, Zeilberger D. 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 Electronic Journal of Combinatorics. 14: 1-8. DOI: 10.37236/937  0.325
2006 Sills AV, Zeilberger D. Disturbing the dyson conjecture (in a GOOD Way) Experimental Mathematics. 15: 187-192. DOI: 10.1080/10586458.2006.10128959  0.324
2004 Mohammed M, Zeilberger D. The Markov-WZ method Electronic Journal of Combinatorics. 11: 1-14. DOI: 10.37236/1806  0.331
2004 Zeilberger D. Symbolic Moment Calculus I: Foundations and Permutation Pattern Statistics Annals of Combinatorics. 8: 369-378. DOI: 10.1007/S00026-004-0226-2  0.32
2003 Foata D, Zeilberger D. The Collector's Brotherhood Problem using the Newman-Shepp symbolic method Algebra Universalis. 49: 387-395. DOI: 10.1007/S00012-003-1815-3  0.302
2001 Zeilberger D. The umbral transfer-matrix method IV. Counting self-avoiding polygons and walks Electronic Journal of Combinatorics. 8: 1-17. DOI: 10.37236/1572  0.319
2001 Foata D, Zeilberger D. Babson-Steingrímsson statistics are indeed Mahonian (and sometimes even Euler-Mahonian) Advances in Applied Mathematics. 27: 390-404. DOI: 10.1006/Aama.2001.0741  0.331
2001 Amdeberhan T, Zeilberger D. Determinants through the looking glass Advances in Applied Mathematics. 27: 225-230. DOI: 10.1006/Aama.2001.0732  0.324
2000 Zeilberger D. The umbral transfer-matrix method. I. Foundations Journal of Combinatorial Theory. Series A. 91: 451-463. DOI: 10.1006/Jcta.2000.3110  0.311
2000 Edlin AE, Zeilberger D. The Goulden-Jackson Cluster Method for Cyclic Words Advances in Applied Mathematics. 25: 228-232. DOI: 10.1006/Aama.2000.0696  0.669
1999 Foata D, Zeilberger D. A combinatorial proof of bass's evaluations of the ihara-selberg zeta function for graphs Transactions of the American Mathematical Society. 351: 2257-2274. DOI: 10.1090/S0002-9947-99-02234-5  0.347
1999 Noonan J, Zeilberger D. The Goulden—Jackson cluster method: extensions, applications and implementations Journal of Difference Equations and Applications. 5: 355-377. DOI: 10.1080/10236199908808197  0.356
1998 Ahlgren SD, Ekhad SB, Ono K, Zeilberger D. A binomial coefficient identity associated to a conjecture of Beukers. Electronic Journal of Combinatorics. 5: 10. DOI: 10.37236/1348  0.307
1998 Corteel S, Savage CD, Wilf HS, Zeilberger D. A Pentagonal Number Sieve Journal of Combinatorial Theory. Series A. 82: 186-192. DOI: 10.1006/Jcta.1997.2846  0.318
1997 Ekhad SB, Zeilberger D. Proof of Conway’s lost cosmological theorem Electronic Research Announcements of the American Mathematical Society. 3: 78-82. DOI: 10.1090/S1079-6762-97-00026-7  0.314
1997 Regev A, Zeilberger D. Proof of a conjecture on multisets of hook numbers Annals of Combinatorics. 1: 391-394. DOI: 10.1007/Bf02558489  0.323
1997 Zeilberger D. The Abstract Lace Expansion Advances in Applied Mathematics. 19: 355-359. DOI: 10.1006/Aama.1997.0552  0.316
1996 Zeilberger D. The method of undetermined generalization and specialization: Illustrated with Fred Galvin's amazing proof of the Dinitz conjecture American Mathematical Monthly. 103: 233-239. DOI: 10.1080/00029890.1996.12004729  0.351
1996 Zeilberger D. The Method of Undetermined Generalization and Specialization American Mathematical Monthly. 103: 233-239. DOI: 10.1080/00029890.1996.12004729  0.35
1996 Foata D, Zeilberger D. Graphical major indices Journal of Computational and Applied Mathematics. 68: 79-101. DOI: 10.1016/0377-0427(95)00254-5  0.31
1995 Ekhad SB, Zeilberger D. The Number of Solutions of $X^2=0$ in Triangular Matrices Over $GF(q)$ Electronic Journal of Combinatorics. 3: 2. DOI: 10.37236/1226  0.326
1995 Zeilberger D. The J.C.P. miller recurrence for exponentiating a polynomial, and its q - analog Journal of Difference Equations and Applications. 1: 57-60. DOI: 10.1080/10236199508808006  0.312
1994 Foata D, Zeilberger D. Combinatorial Proofs of Capelli's and Turnbull's Identities from Classical Invariant Theory Electronic Journal of Combinatorics. 1: 1. DOI: 10.37236/1181  0.324
1994 Zeilberger D. Chu's 1303 Identity Implies Bombieri's 1990 Norm-Inequality (Via an Identity of Beauzamy and Dégot) American Mathematical Monthly. 101: 894-896. DOI: 10.1080/00029890.1994.11997044  0.317
1994 Zeilberger D. A constant term identity featuring the ubiquitous (and mysterious) Andrews-Mills-Robbins-Rumsey numbers 1, 2, 7, 42, 429, .. Journal of Combinatorial Theory, Series A. 66: 17-27. DOI: 10.1016/0097-3165(94)90047-7  0.352
1994 Orr CR, Zeilberger D. A Computer Algebra Approach to the Discrete Dirichlet Problem Journal of Symbolic Computation. 18: 87-90. DOI: 10.1006/Jsco.1994.1038  0.319
1993 Andrews GE, Ekhad SB, Zeilberger D. A Short Proof of Jacobi's Formula for the Number of Representations of an Integer as a Sum of Four Squares American Mathematical Monthly. 100: 274. DOI: 10.2307/2324461  0.377
1993 Zeilberger D. Identities in search of identity Theoretical Computer Science. 117: 23-38. DOI: 10.1016/0304-3975(93)90301-9  0.321
1992 Wilf HS, Zeilberger D. Rational function certification of multisum/integral/“q” identities Bulletin of the American Mathematical Society. 27: 148-153. DOI: 10.1090/S0273-0979-1992-00297-5  0.303
1992 Zeilberger D. A proof of Julian West's conjecture that the number of two-stacksortable permutations of length n is 2(3n)!/((n + 1)!(2n + 1)!) Discrete Mathematics. 102: 85-93. DOI: 10.1016/0012-365X(92)90351-F  0.313
1992 Wilf HS, Zeilberger D. An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral identities Inventiones Mathematicae. 108: 575-633. DOI: 10.1007/Bf02100618  0.362
1991 Zeilberger D. A maple program for proving hypergeometric identities Acm Sigsam Bulletin. 25: 4-13. DOI: 10.1145/122514.122515  0.313
1991 Foata D, Zeilberger D. Multibasic eulerian polynomials Transactions of the American Mathematical Society. 328: 843-862. DOI: 10.1090/S0002-9947-1991-1022166-4  0.33
1991 Zeilberger D. The method of creative telescoping Journal of Symbolic Computation. 11: 195-204. DOI: 10.1016/S0747-7171(08)80044-2  0.303
1990 Wilf HS, Zeilberger D. Towards computerized proofs of identities Bulletin of the American Mathematical Society. 23: 77-83. DOI: 10.1090/S0273-0979-1990-15904-X  0.306
1990 Zeilberger D. A holonomic systems approach to special functions identities Journal of Computational and Applied Mathematics. 32: 321-368. DOI: 10.1016/0377-0427(90)90042-X  0.332
1990 Ekhad SB, Zeilberger D. A 21st century proof of Dougall's hypergeometric sum identity Journal of Mathematical Analysis and Applications. 147: 610-611. DOI: 10.1016/0022-247X(90)90375-P  0.312
1990 Zeilberger D. A Stembridge-Stanton style elementary proof of the Habsieger-Kadell q-Morris identity Discrete Mathematics. 79: 313-322. DOI: 10.1016/0012-365X(90)90338-I  0.302
1990 Zeilberger D. A bijection from ordered trees to binary trees that sends the pruning order to the strahler number Discrete Mathematics. 82: 89-92. DOI: 10.1016/0012-365X(90)90047-L  0.329
1990 Foata D, Zeilberger D. Denert's Permutation Statistic Is Indeed Euler-Mahonian Studies in Applied Mathematics. 83: 31-59. DOI: 10.1002/Sapm199083131  0.3
1989 Zeilberger D. Six etudes in generating functions International Journal of Computer Mathematics. 29: 201-215. DOI: 10.1080/00207168908803760  0.349
1989 Bressoud DM, Zeilberger D. Generalized Rogers-Ramanujan bijections Advances in Mathematics. 78: 42-75. DOI: 10.1016/0001-8708(89)90028-5  0.337
1988 Zeilberger D. A Unified Approach to Macdonald’s Root-System Conjectures Siam Journal On Mathematical Analysis. 19: 987-1013. DOI: 10.1137/0519068  0.307
1987 Zeilberger D. Enumerating totally clean words Discrete Mathematics. 64: 313-315. DOI: 10.1016/0012-365X(87)90202-0  0.347
1985 Bender EA, Zeilberger D. Some asymptotic bijections Journal of Combinatorial Theory, Series A. 38: 96-98. DOI: 10.1016/0097-3165(85)90029-9  0.361
1984 Zeilberger D. A combinatorial proof of Newton's identities Discrete Mathematics. 49: 319. DOI: 10.1016/0012-365X(84)90171-7  0.321
1984 Zeilberger D. Garsia and Milne's bijective proof of the inclusion-exclusion principle Discrete Mathematics. 51: 109-110. DOI: 10.1016/0012-365X(84)90028-1  0.345
1984 Zeilberger D. A short hook-lengths bijection inspired by the Greene-Nijenhuis-Wilf proof Discrete Mathematics. 51: 101-108. DOI: 10.1016/0012-365X(84)90027-X  0.341
1982 Caplan SR, Zeilberger D. T.L. Hill's graphical method for solving linear equations Advances in Applied Mathematics. 3: 377-383. DOI: 10.1016/S0196-8858(82)80011-0  0.311
1982 Franzblau DS, Zeilberger D. A bijective proof of the hook-length formula Journal of Algorithms. 3: 317-343. DOI: 10.1016/0196-6774(82)90029-3  0.335
1982 Zeilberger D. Sister Celine's technique and its generalizations Journal of Mathematical Analysis and Applications. 85: 114-145. DOI: 10.1016/0022-247X(82)90029-4  0.355
1982 Zeilberger D. A combinatorial proof of Dyson's conjecture Discrete Mathematics. 41: 317-321. DOI: 10.1016/0012-365X(82)90028-0  0.35
1981 Zeilberger D. All binomial identities are verifiable Proceedings of the National Academy of Sciences of the United States of America. 78: 4000-4000. PMID 16593045 DOI: 10.1073/Pnas.78.7.4000  0.337
1981 Zeilberger D. Enumeration of words by their number of mistakes Discrete Mathematics. 34: 89-91. DOI: 10.1016/0012-365X(81)90026-1  0.36
1980 Zeilberger D. Some comments on Rota's Umbral Calculus Journal of Mathematical Analysis and Applications. 74: 456-463. DOI: 10.1016/0022-247X(80)90141-9  0.337
1977 Zeilberger D. Discrete analytic functions of exponential growth Transactions of the American Mathematical Society. 226: 181-189. DOI: 10.1090/S0002-9947-1977-0432894-X  0.308
1977 Zeilberger D. A discrete analogue of the paley-wiener theorem for bounded analytic functions in a half plane Journal of the Australian Mathematical Society. 23: 376-378. DOI: 10.1017/S1446788700019029  0.312
1977 Zeilberger D. A New Basis for Discrete Analytic Polynomials Journal of the Australian Mathematical Society. 23: 95-104. DOI: 10.1017/S1446788700017389  0.309
1977 Zeilberger D, Dym H. Further properties of discrete analytic functions Journal of Mathematical Analysis and Applications. 58: 405-418. DOI: 10.1016/0022-247X(77)90218-9  0.317
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