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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