Embar, Rebecca; Zeilberger, Doron Counting Condorcet. (English) Zbl 1512.05030 Enumer. Comb. Appl. 2, No. 3, Article ID S2R22, 7 p. (2022). MSC: 05A15 05A19 33F10 91C05 PDFBibTeX XMLCite \textit{R. Embar} and \textit{D. Zeilberger}, Enumer. Comb. Appl. 2, No. 3, Article ID S2R22, 7 p. (2022; Zbl 1512.05030) Full Text: DOI
Amdeberhan, Tewodros; Zeilberger, Doron An elegant multi-integral that implies an even more elegant determinant identity of Dougherty and McCammond. (English) Zbl 1510.05006 Palest. J. Math. 11, No. 4, 1-6 (2022). MSC: 05A15 05A05 30C15 PDFBibTeX XMLCite \textit{T. Amdeberhan} and \textit{D. Zeilberger}, Palest. J. Math. 11, No. 4, 1--6 (2022; Zbl 1510.05006) Full Text: arXiv Link
Yao, Yukun; Zeilberger, Doron Numerical and symbolic studies of the peaceable queens problem. (English) Zbl 1486.05019 Exp. Math. 31, No. 1, 269-279 (2022). MSC: 05A15 05B15 PDFBibTeX XMLCite \textit{Y. Yao} and \textit{D. Zeilberger}, Exp. Math. 31, No. 1, 269--279 (2022; Zbl 1486.05019) Full Text: DOI arXiv
Ekhad, Shalosh B.; Koutschan, Christoph; Zeilberger, Doron There are EXACTLY 1493804444499093354916284290188948031229880469556 ways to derange a standard deck of cards (ignoring suits) [and many other such useful facts]. (English) Zbl 1499.05031 Enumer. Comb. Appl. 1, No. 3, Article ID S2R17, 4 p. (2021). MSC: 05A15 33D45 33F10 68W30 PDFBibTeX XMLCite \textit{S. B. Ekhad} et al., Enumer. Comb. Appl. 1, No. 3, Article ID S2R17, 4 p. (2021; Zbl 1499.05031) Full Text: DOI arXiv
Yang, Mingjia; Zeilberger, Doron Increasing consecutive patterns in words. (English) Zbl 1434.05009 J. Algebr. Comb. 51, No. 1, 89-101 (2020). MSC: 05A15 05A05 05-04 68R15 PDFBibTeX XMLCite \textit{M. Yang} and \textit{D. Zeilberger}, J. Algebr. Comb. 51, No. 1, 89--101 (2020; Zbl 1434.05009) Full Text: DOI arXiv
Kauers, Manuel; Seidl, Martina; Zeilberger, Doron On the maximal minimal cube lengths in distinct DNF tautologies. (English) Zbl 1449.05018 DML, Discrete Math. Lett. 2, 47-51 (2019). MSC: 05A15 68W30 PDFBibTeX XMLCite \textit{M. Kauers} et al., DML, Discrete Math. Lett. 2, 47--51 (2019; Zbl 1449.05018) Full Text: arXiv Link
Yao, Yukun; Zeilberger, Doron An experimental mathematics approach to the area statistic of parking functions. (English) Zbl 1416.05025 Math. Intell. 41, No. 2, 1-8 (2019). MSC: 05A15 05A19 PDFBibTeX XMLCite \textit{Y. Yao} and \textit{D. Zeilberger}, Math. Intell. 41, No. 2, 1--8 (2019; Zbl 1416.05025) Full Text: DOI arXiv
Lohr, Andrew; Zeilberger, Doron On the limiting distributions of the total height on families of trees. (English) Zbl 1416.05021 Integers 18, Paper A32, 9 p. (2018). MSC: 05A15 05C05 05D40 05C75 PDFBibTeX XMLCite \textit{A. Lohr} and \textit{D. Zeilberger}, Integers 18, Paper A32, 9 p. (2018; Zbl 1416.05021) Full Text: arXiv Link
Zaleski, Anthony; Zeilberger, Doron Explicit expressions for the expectation, variance and higher moments of the size of a \((2n+1,2n+3)\)-core partition with distinct parts. (English) Zbl 1375.05024 J. Difference Equ. Appl. 23, No. 7, 1241-1254 (2017). MSC: 05A17 05A15 05A16 05E10 PDFBibTeX XMLCite \textit{A. Zaleski} and \textit{D. Zeilberger}, J. Difference Equ. Appl. 23, No. 7, 1241--1254 (2017; Zbl 1375.05024) Full Text: DOI
Apagodu, Moa; Applegate, David; Sloane, N. J. A.; Zeilberger, Doron Analysis of the gift exchange problem. (English) Zbl 1430.05003 Electron. J. Comb. 24, No. 3, Research Paper P3.9, 15 p. (2017). MSC: 05A15 05A17 11B37 33F10 91A60 PDFBibTeX XMLCite \textit{M. Apagodu} et al., Electron. J. Comb. 24, No. 3, Research Paper P3.9, 15 p. (2017; Zbl 1430.05003) Full Text: arXiv Link
Zaleski, Anthony; Zeilberger, Doron On the Intriguing Problem of Counting (n+1,n+2)-Core Partitions into Odd Parts. arXiv:1712.10072 Preprint, arXiv:1712.10072 [math.CO] (2017). MSC: 05A17 05A15 05A16 05E10 BibTeX Cite \textit{A. Zaleski} and \textit{D. Zeilberger}, ``On the Intriguing Problem of Counting (n+1,n+2)-Core Partitions into Odd Parts'', Preprint, arXiv:1712.10072 [math.CO] (2017) Full Text: arXiv OA License
Shar, Nathaniel; Zeilberger, Doron The (ordinary) generating functions enumerating \(123\)-avoiding words with \(r\) occurrences of each of \(1, 2, \dots, n\) are always algebraic. (English) Zbl 1342.05007 Ann. Comb. 20, No. 2, 387-396 (2016). Reviewer: William G. Brown (Montréal) MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{N. Shar} and \textit{D. Zeilberger}, Ann. Comb. 20, No. 2, 387--396 (2016; Zbl 1342.05007) Full Text: DOI arXiv
Zaleski, Anthony; Zeilberger, Doron Explicit (Polynomial!) Expressions for the Expectation, Variance and Higher Moments of the Size of a (2n + 1, 2n + 3)-core partition with Distinct Parts. arXiv:1611.05775 Preprint, arXiv:1611.05775 [math.CO] (2016). MSC: 05A17 05A15 05A16 05E10 BibTeX Cite \textit{A. Zaleski} and \textit{D. Zeilberger}, ``Explicit (Polynomial!) Expressions for the Expectation, Variance and Higher Moments of the Size of a (2n + 1, 2n + 3)-core partition with Distinct Parts'', Preprint, arXiv:1611.05775 [math.CO] (2016) Full Text: arXiv OA License
Zeilberger, Doron Automatic enumeration of generalized Ménage numbers. (English) Zbl 1297.05021 Sémin. Lothar. Comb. 71, B71a, 17 p. (2014). MSC: 05A15 05A05 PDFBibTeX XMLCite \textit{D. Zeilberger}, Sémin. Lothar. Comb. 71, B71a, 17 p. (2014; Zbl 1297.05021) Full Text: arXiv EMIS
Berenstein, Arkady; Retakh, Vladimir; Reutenauer, Christophe; Zeilberger, Doron The reciprocal of \(\sum_{n\geq 0}a^nb^n\) for non-commuting \(a\) and \(b\), Catalan numbers and non-commutative quadratic equations. (English) Zbl 1325.16032 Berenstein, Arkady (ed.) et al., Noncommutative birational geometry, representations and combinatorics. Proceedings of the AMS special session on noncommutative birational geometry, representations and cluster algebras, Boston, MA, USA, January 6–7, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8980-0/pbk; 978-1-4704-0971-5/ebook). Contemporary Mathematics 592, 103-109 (2013). MSC: 16T30 05A15 05A19 PDFBibTeX XMLCite \textit{A. Berenstein} et al., Contemp. Math. 592, 103--109 (2013; Zbl 1325.16032) Full Text: DOI arXiv
Ekhad, Shalosh B.; Zeilberger, Doron Automatic counting of tilings of skinny plane regions. (English) Zbl 1302.05032 Blackburn, Simon R. (ed.) et al., Surveys in combinatorics 2013. Papers based on the 24th British combinatorial conference, London, UK, June 30 – July 5, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-65195-1/pbk; 978-1-139-50674-8/ebook). London Mathematical Society Lecture Note Series 409, 363-378 (2013). Reviewer: Elizaveta Zamorzaeva (Chişinău) MSC: 05B45 05A15 PDFBibTeX XMLCite \textit{S. B. Ekhad} and \textit{D. Zeilberger}, Lond. Math. Soc. Lect. Note Ser. 409, 363--378 (2013; Zbl 1302.05032) Full Text: DOI arXiv
Gnang, Edinah K.; Zeilberger, Doron Zeroless arithmetic: representing integers ONLY using ONE. (English) Zbl 1280.39001 J. Difference Equ. Appl. 19, No. 11, 1921-1926 (2013). MSC: 39A05 05A15 65C10 65Q30 90C39 PDFBibTeX XMLCite \textit{E. K. Gnang} and \textit{D. Zeilberger}, J. Difference Equ. Appl. 19, No. 11, 1921--1926 (2013; Zbl 1280.39001) Full Text: DOI arXiv
Baxter, Andrew; Nakamura, Brian; Zeilberger, Doron Automatic generation of theorems and proofs on enumerating consecutive-Wilf classes. (English) Zbl 1273.05007 Kotsireas, Ilias S. (ed.) et al., Advances in combinatorics. In part based on the 3rd Waterloo workshop on computer algebra (WWCA, W80) 2011, Waterloo, Canada, May 26–29, 2011. Dedicated to Herbert Saul Wilf on the occasion of his 80th birthday. Berlin: Springer (ISBN 978-3-642-30978-6/hbk; 978-3-642-30979-3/ebook). 121-138 (2013). MSC: 05A15 05A19 PDFBibTeX XMLCite \textit{A. Baxter} et al., in: Advances in combinatorics. In part based on the 3rd Waterloo workshop on computer algebra (WWCA, W80) 2011, Waterloo, Canada, May 26--29, 2011. Dedicated to Herbert Saul Wilf on the occasion of his 80th birthday. Berlin: Springer. 121--138 (2013; Zbl 1273.05007) Full Text: DOI arXiv
Zeilberger, Doron The \(C\)-finite ansatz. (English) Zbl 1268.05015 Ramanujan J. 31, No. 1-2, 23-32 (2013). MSC: 05A15 39A06 PDFBibTeX XMLCite \textit{D. Zeilberger}, Ramanujan J. 31, No. 1--2, 23--32 (2013; Zbl 1268.05015) Full Text: DOI arXiv
Nakamura, Brian; Zeilberger, Doron Using Noonan-Zeilberger functional equations to enumerate (in polynomial time!) generalized Wilf classes. (English) Zbl 1259.05005 Adv. Appl. Math. 50, No. 3, 356-366 (2013). MSC: 05A05 PDFBibTeX XMLCite \textit{B. Nakamura} and \textit{D. Zeilberger}, Adv. Appl. Math. 50, No. 3, 356--366 (2013; Zbl 1259.05005) Full Text: DOI arXiv
Koutschan, Christoph; Kauers, Manuel; Zeilberger, Doron Proof of George Andrews’s and David Robbins’s \(q\)-TSPP conjecture. (English) Zbl 1255.05011 Proc. Natl. Acad. Sci. USA 108, No. 6, 2196-2199 (2011). MSC: 05A15 PDFBibTeX XMLCite \textit{C. Koutschan} et al., Proc. Natl. Acad. Sci. USA 108, No. 6, 2196--2199 (2011; Zbl 1255.05011) Full Text: DOI arXiv
Kauers, Manuel; Zeilberger, Doron The computational challenge of enumerating high-dimensional rook walks. (English) Zbl 1234.05026 Adv. Appl. Math. 47, No. 4, 813-819 (2011). MSC: 05A15 33F10 68W30 PDFBibTeX XMLCite \textit{M. Kauers} and \textit{D. Zeilberger}, Adv. Appl. Math. 47, No. 4, 813--819 (2011; Zbl 1234.05026) Full Text: DOI arXiv
Kauers, Manuel; Koutschan, Christoph; Zeilberger, Doron Proof of Ira Gessel’s lattice path conjecture. (English) Zbl 1203.05010 Proc. Natl. Acad. Sci. USA 106, No. 28, 11502-11505 (2009). MSC: 05A15 68W30 PDFBibTeX XMLCite \textit{M. Kauers} et al., Proc. Natl. Acad. Sci. USA 106, No. 28, 11502--11505 (2009; Zbl 1203.05010) Full Text: DOI arXiv Link Backlinks: MO
Zeilberger, Doron The automatic central limit theorems generator (and much more!). (English) Zbl 1210.05011 Kotsireas, Ilias S. (ed.) et al., Advances in combinatorial mathematics. Proceedings of the 2nd Waterloo workshop on computer algebra (WWCA 2008), Waterloo, Canada, May 5–7, 2008. Dedicated to the 70th birthday of G. Egorychev. Berlin: Springer (ISBN 978-3-642-03561-6/hbk; 978-3-642-03562-3/e-book). 165-174 (2009). MSC: 05A15 05A16 60F05 60-08 PDFBibTeX XMLCite \textit{D. Zeilberger}, in: Advances in combinatorial mathematics. Proceedings of the 2nd Waterloo workshop on computer algebra (WWCA 2008), Waterloo, Canada, May 5--7, 2008. Dedicated to the 70th birthday of G. Egorychev. Berlin: Springer. 165--174 (2009; Zbl 1210.05011) Full Text: DOI
Rowland, Eric; Zeilberger, Doron On the number of walks on a regular Cayley tree. arXiv:0903.1877 Preprint, arXiv:0903.1877 [math.CO] (2009). MSC: 05A15 05C05 BibTeX Cite \textit{E. Rowland} and \textit{D. Zeilberger}, ``On the number of walks on a regular Cayley tree'', Preprint, arXiv:0903.1877 [math.CO] (2009) Full Text: arXiv OA License
Ayyer, Arvind; Zeilberger, Doron Two dimensional directed lattice walks with boundaries. (English) Zbl 1160.05002 Amdeberhan, Tewodros (ed.) et al., Tapas in experimental mathematics. AMS special session on experimental mathematics, New Orleans, LA, USA, January 5, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4317-8/pbk). Contemporary Mathematics 457, 1-19 (2008). MSC: 05A15 05A16 82B41 05-04 68R05 PDFBibTeX XMLCite \textit{A. Ayyer} and \textit{D. Zeilberger}, Contemp. Math. 457, 1--19 (2008; Zbl 1160.05002) Full Text: arXiv
Kauers, Manuel; Zeilberger, Doron Experiments with a positivity-preserving operator. (English) Zbl 1157.05003 Exp. Math. 17, No. 3, 341-345 (2008). MSC: 05A15 33F10 PDFBibTeX XMLCite \textit{M. Kauers} and \textit{D. Zeilberger}, Exp. Math. 17, No. 3, 341--345 (2008; Zbl 1157.05003) Full Text: DOI arXiv Euclid
Kauers, Manuel; Zeilberger, Doron The quasi-holonomic ansatz and restricted lattice walks. (English) Zbl 1193.05014 J. Difference Equ. Appl. 14, No. 10-11, 1119-1126 (2008). MSC: 05A15 PDFBibTeX XMLCite \textit{M. Kauers} and \textit{D. Zeilberger}, J. Difference Equ. Appl. 14, No. 10--11, 1119--1126 (2008; Zbl 1193.05014) Full Text: DOI arXiv
Ekhad, Shalosh B.; Zeilberger, Doron Using Rota’s Umbral calculus to enumerate Stanley’s \(P\)-partitions. (English) Zbl 1161.05005 Adv. Appl. Math. 41, No. 2, 206-213 (2008). MSC: 05A40 05A15 05A17 PDFBibTeX XMLCite \textit{S. B. Ekhad} and \textit{D. Zeilberger}, Adv. Appl. Math. 41, No. 2, 206--213 (2008; Zbl 1161.05005) Full Text: DOI
Zeilberger, Doron The holonomic ansatz. II: Automatic discovery(!) and proof(!!) of holonomic determinant evaluations. (English) Zbl 1125.05009 Ann. Comb. 11, No. 2, 241-247 (2007). MSC: 05A15 33F10 PDFBibTeX XMLCite \textit{D. Zeilberger}, Ann. Comb. 11, No. 2, 241--247 (2007; Zbl 1125.05009) Full Text: DOI
Zeilberger, Doron The holonomic ansatz. I: Foundations and applications to lattice path counting. (English) Zbl 1125.05008 Ann. Comb. 11, No. 2, 227-239 (2007). MSC: 05A15 33F10 PDFBibTeX XMLCite \textit{D. Zeilberger}, Ann. Comb. 11, No. 2, 227--239 (2007; Zbl 1125.05008) Full Text: DOI
Ayyer, Arvind; Zeilberger, Doron 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. (English) Zbl 1110.05006 Electron. J. Comb. 14, No. 1, Research paper R19, 8 p. (2007). MSC: 05A15 PDFBibTeX XMLCite \textit{A. Ayyer} and \textit{D. Zeilberger}, Electron. J. Comb. 14, No. 1, Research paper R19, 8 p. (2007; Zbl 1110.05006) Full Text: arXiv EuDML EMIS
Apagodu, Moa; Zeilberger, Doron Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharpening of Wilf-Zeilberger theory. (English) Zbl 1108.05010 Adv. Appl. Math. 37, No. 2, 139-152 (2006). MSC: 05A15 PDFBibTeX XMLCite \textit{M. Apagodu} and \textit{D. Zeilberger}, Adv. Appl. Math. 37, No. 2, 139--152 (2006; Zbl 1108.05010) Full Text: DOI
Zeilberger, Doron; Bressoud, David M. A proof of Andrews’ \(q\)-Dyson conjecture. (Reprint). (English) Zbl 1094.33003 Discrete Math. 306, No. 10-11, 1039-1059 (2006). MSC: 33B15 33C60 05A30 05A15 PDFBibTeX XMLCite \textit{D. Zeilberger} and \textit{D. M. Bressoud}, Discrete Math. 306, No. 10--11, 1039--1059 (2006; Zbl 1094.33003) Full Text: DOI
Foata, Dominique; Zeilberger, Doron The collector’s brotherhood problem using the Newman-Shepp symbolic method. (English) Zbl 1091.05004 Algebra Univers. 49, No. 4, 387-395 (2003). Reviewer: Ivan Chajda (Olomouc) MSC: 05A15 05A19 05E05 60C05 PDFBibTeX XMLCite \textit{D. Foata} and \textit{D. Zeilberger}, Algebra Univers. 49, No. 4, 387--395 (2003; Zbl 1091.05004) Full Text: DOI
Robertson, Aaron; Saracino, Dan; Zeilberger, Doron Refined restricted permutations. (English) Zbl 1017.05014 Ann. Comb. 6, No. 3-4, 427-444 (2002). MSC: 05A15 68R15 PDFBibTeX XMLCite \textit{A. Robertson} et al., Ann. Comb. 6, No. 3--4, 427--444 (2002; Zbl 1017.05014) Full Text: DOI arXiv
Zeilberger, Doron The umbral transfer-matrix method. V: The Goulden-Jackson cluster method for infinitely many mistakes. (English) Zbl 0995.05013 Integers 2, Paper A05, 12 p. (2002). Reviewer: D.V.Chopra (Wichita) MSC: 05A40 05A15 PDFBibTeX XMLCite \textit{D. Zeilberger}, Integers 2, Paper A05, 12 p. (2002; Zbl 0995.05013) Full Text: EuDML
Foata, Dominique; Zeilberger, Doron Babson-Steingrímsson statistics are indeed Mahonian (and sometimes even Euler-Mahonian). (English) Zbl 0994.05006 Adv. Appl. Math. 27, No. 2-3, 390-404 (2001). Reviewer: László A.Székely (Columbia/South Carolina) MSC: 05A15 05A05 PDFBibTeX XMLCite \textit{D. Foata} and \textit{D. Zeilberger}, Adv. Appl. Math. 27, No. 2--3, 390--404 (2001; Zbl 0994.05006) Full Text: DOI
Amdeberhan, Tewodros; Zeilberger, Doron Determinants through the looking glass. (English) Zbl 0994.05018 Adv. Appl. Math. 27, No. 2-3, 225-230 (2001). MSC: 05A19 15A15 05A10 05A15 PDFBibTeX XMLCite \textit{T. Amdeberhan} and \textit{D. Zeilberger}, Adv. Appl. Math. 27, No. 2--3, 225--230 (2001; Zbl 0994.05018) Full Text: DOI
Zeilberger, Doron The umbral transfer-matrix method. III: Counting animals. (English) Zbl 0987.05009 New York J. Math. 7, 223-231 (2001). Reviewer: Ian Anderson (Glasgow) MSC: 05A15 05A40 82-04 05B50 PDFBibTeX XMLCite \textit{D. Zeilberger}, New York J. Math. 7, 223--231 (2001; Zbl 0987.05009) Full Text: EuDML EMIS
Zeilberger, Doron The umbral transfer-matrix method. IV: Counting self-avoiding polygons and walks. (English) Zbl 0969.05006 Electron. J. Comb. 8, No. 1, Research paper R28, 17 p. (2001). MSC: 05A40 05A15 05B50 PDFBibTeX XMLCite \textit{D. Zeilberger}, Electron. J. Comb. 8, No. 1, Research paper R28, 17 p. (2001; Zbl 0969.05006) Full Text: EuDML EMIS
Edlin, Anne E.; Zeilberger, Doron The Goulden-Jackson cluster method for cyclic words. (English) Zbl 0957.05011 Adv. Appl. Math. 25, No. 2, 228-232 (2000). Reviewer: Jack E.Graver (Syracuse) MSC: 05A15 PDFBibTeX XMLCite \textit{A. E. Edlin} and \textit{D. Zeilberger}, Adv. Appl. Math. 25, No. 2, 228--232 (2000; Zbl 0957.05011) Full Text: DOI
Zeilberger, Doron The umbral transfer-matrix method. I: Foundations. (English) Zbl 0961.05003 J. Comb. Theory, Ser. A 91, No. 1-2, 451-463 (2000). Reviewer: D.V.Chopra (Wichita) MSC: 05A40 05A15 PDFBibTeX XMLCite \textit{D. Zeilberger}, J. Comb. Theory, Ser. A 91, No. 1--2, 451--463 (2000; Zbl 0961.05003) Full Text: DOI
Zeilberger, Doron Symbol-crunching with the transfer-matrix method in order to count skinny physical creatures. (English) Zbl 0954.82006 Integers 0, Paper A09, 34 p. (2000). Reviewer: Shaun Cooper (Auckland) MSC: 82B41 82-08 05A15 PDFBibTeX XMLCite \textit{D. Zeilberger}, Integers 0, Paper A09, 34 p. (2000; Zbl 0954.82006) Full Text: EuDML
Zeilberger, Doron Proof of a conjecture of Chan, Robbins, and Yuen. (English) Zbl 0941.05006 ETNA, Electron. Trans. Numer. Anal. 9, 147-148 (1999). MSC: 05A19 52B05 05A15 PDFBibTeX XMLCite \textit{D. Zeilberger}, ETNA, Electron. Trans. Numer. Anal. 9, 147--148 (1999; Zbl 0941.05006) Full Text: arXiv EuDML EMIS
Noonan, John; Zeilberger, Doron The Goulden-Jackson cluster method: Extensions, applications and implementations. (English) Zbl 0935.05003 J. Difference Equ. Appl. 5, No. 4-5, 355-377 (1999). Reviewer: Le Maohua (Zhanjiang) MSC: 05A10 05A15 PDFBibTeX XMLCite \textit{J. Noonan} and \textit{D. Zeilberger}, J. Difference Equ. Appl. 5, No. 4--5, 355--377 (1999; Zbl 0935.05003) Full Text: DOI arXiv
Zeilberger, Doron Automated counting of Lego towers. (English) Zbl 0931.05022 J. Difference Equ. Appl. 5, No. 4-5, 323-333 (1999). Reviewer: H.N.V.Temperley (Langport) MSC: 05B50 05A15 PDFBibTeX XMLCite \textit{D. Zeilberger}, J. Difference Equ. Appl. 5, No. 4--5, 323--333 (1999; Zbl 0931.05022) Full Text: DOI arXiv
Robertson, Aaron; Wilf, Herbert S.; Zeilberger, Doron Permutation patterns and continued fractions. (English) Zbl 0937.05004 Electron. J. Comb. 6, No. 1, Research paper R38, 6 p. (1999); printed version J. Comb. 6, 503-508 (1999). Reviewer: J.E.Graver (Syracuse) MSC: 05A15 PDFBibTeX XMLCite \textit{A. Robertson} et al., Electron. J. Comb. 6, No. 1, Research paper R38, 6 p. (1999; Zbl 0937.05004) Full Text: arXiv EuDML EMIS
Ekhad, Shalosh B.; Robertson, Aaron; Zeilberger, Doron WITHDRAWN: The Number of Permutations With A Prescribed Number of 132 and 123 Patterns. arXiv:math/9903170 Preprint, arXiv:math/9903170 [math.CO] (1999); retraction notice ibid. MSC: 05A15 BibTeX Cite \textit{S. B. Ekhad} et al., ``WITHDRAWN: The Number of Permutations With A Prescribed Number of 132 and 123 Patterns'', Preprint, arXiv:math/9903170 [math.CO] (1999); retraction notice ibid. Full Text: arXiv
Zeilberger, Doron Enumeration schemes and, more importantly, their automatic generation. (English) Zbl 0931.05006 Ann. Comb. 2, No. 2, 185-195 (1998). Reviewer: J.E.Graver (Syracuse) MSC: 05A15 PDFBibTeX XMLCite \textit{D. Zeilberger}, Ann. Comb. 2, No. 2, 185--195 (1998; Zbl 0931.05006) Full Text: DOI arXiv
Ekhad, Shalosh B.; Zeilberger, Doron Curing the Andrews syndrome. (English) Zbl 0913.05005 J. Difference Equ. Appl. 4, No. 3, 299-310 (1998). Reviewer: L.A.Székely (Columbia/South Carolina) MSC: 05A15 33C20 39A10 PDFBibTeX XMLCite \textit{S. B. Ekhad} and \textit{D. Zeilberger}, J. Difference Equ. Appl. 4, No. 3, 299--310 (1998; Zbl 0913.05005) Full Text: DOI arXiv
Foata, Dominique; Zeilberger, Doron A classic proof of a recurrence for a very classical sequence. (English) Zbl 0883.05007 J. Comb. Theory, Ser. A 80, No. 2, 380-384 (1997). Reviewer: E.K.Lloyd (Southampton) MSC: 05A15 05C05 PDFBibTeX XMLCite \textit{D. Foata} and \textit{D. Zeilberger}, J. Comb. Theory, Ser. A 80, No. 2, 380--384 (1997; Zbl 0883.05007) Full Text: DOI arXiv
Zeilberger, Doron The abstract lace expansion. (English) Zbl 0882.05006 Adv. Appl. Math. 19, No. 3, 355-359 (1997). MSC: 05A15 60G50 PDFBibTeX XMLCite \textit{D. Zeilberger}, Adv. Appl. Math. 19, No. 3, 355--359 (1997; Zbl 0882.05006) Full Text: DOI arXiv
Noonan, John; Zeilberger, Doron The enumeration of permutations with a prescribed number of “forbidden” patterns. (English) Zbl 0974.05001 Adv. Appl. Math. 17, No. 4, 381-407 (1996). MSC: 05A15 05A05 PDFBibTeX XMLCite \textit{J. Noonan} and \textit{D. Zeilberger}, Adv. Appl. Math. 17, No. 4, 381--407 (1996; Zbl 0974.05001) Full Text: DOI arXiv
Zeilberger, Doron Self-avoiding walks, the language of science, and Fibonacci numbers. (English) Zbl 0858.05004 J. Stat. Plann. Inference 54, No. 1, 135-138 (1996). Reviewer: J.E.Graver (Syracuse) MSC: 05A15 05E15 60G50 PDFBibTeX XMLCite \textit{D. Zeilberger}, J. Stat. Plann. Inference 54, No. 1, 135--138 (1996; Zbl 0858.05004) Full Text: DOI arXiv
Foata, Dominique; Zeilberger, Doron Graphical major indices. (English) Zbl 0856.05006 J. Comput. Appl. Math. 68, No. 1-2, 79-101 (1996). Reviewer: L.A.Székely (Columbia/South Carolina) MSC: 05A15 05A30 05A19 33C20 33D15 PDFBibTeX XMLCite \textit{D. Foata} and \textit{D. Zeilberger}, J. Comput. Appl. Math. 68, No. 1--2, 79--101 (1996; Zbl 0856.05006) Full Text: DOI arXiv
Zeilberger, Doron Proof of the alternating sign matrix conjecture. (English) Zbl 0858.05023 Electron. J. Comb. 3, No. 2, Research paper R13, 84 p. (1996); printed version J. Comb. 3, No. 2, 283-366 (1996). Reviewer: V.D.Tonchev (Houghton) MSC: 05B20 05A15 15B36 PDFBibTeX XML Full Text: arXiv EuDML EMIS
Zeilberger, Doron Proof of the refined alternating sign matrix conjecture. (English) Zbl 0877.05004 New York J. Math. 2, 59-68 (1996). MSC: 05A15 05B20 05A30 05E35 PDFBibTeX XMLCite \textit{D. Zeilberger}, New York J. Math. 2, 59--68 (1996; Zbl 0877.05004) Full Text: arXiv EuDML EMIS
Zeilberger, Doron The J. C. P. Miller recurrence for exponentiating a polynomial, and its \(q\)-analog. (English) Zbl 0838.05006 J. Difference Equ. Appl. 1, No. 1, 57-60 (1995). Reviewer: G.Gutin (Odense) MSC: 05A15 33C50 39A10 05A30 PDFBibTeX XMLCite \textit{D. Zeilberger}, J. Difference Equ. Appl. 1, No. 1, 57--60 (1995; Zbl 0838.05006) Full Text: DOI
Friedman, Jane; Gessel, Ira; Zeilberger, Doron Talmudic lattice path counting. (English) Zbl 0809.05003 J. Comb. Theory, Ser. A 68, No. 1, 215-217 (1994). Reviewer: J.Cigler (Wien) MSC: 05A15 60C05 PDFBibTeX XMLCite \textit{J. Friedman} et al., J. Comb. Theory, Ser. A 68, No. 1, 215--217 (1994; Zbl 0809.05003) Full Text: DOI
Zeilberger, Doron A constant term identity featuring the ubiquitous (and mysterious) Andrews-Mills-Robbins-Rumsey numbers \(1, 2, 7, 42, 429, \dots\). (English) Zbl 0851.05004 J. Comb. Theory, Ser. A 66, No. 1, 17-27 (1994). Reviewer: W.H.Mills (MR 95b:05013) MSC: 05A15 05A19 PDFBibTeX XMLCite \textit{D. Zeilberger}, J. Comb. Theory, Ser. A 66, No. 1, 17--27 (1994; Zbl 0851.05004) Full Text: DOI
Zeilberger, Doron A proof of Julian West’s conjecture that the number of two-stack-sortable permutations of length \(n\) is \(2(3n)\)!/(\((n+1)\)!\((2n+1)\)!). (English) Zbl 0754.05006 Discrete Math. 102, No. 1, 85-93 (1992). MSC: 05A15 05A05 PDFBibTeX XMLCite \textit{D. Zeilberger}, Discrete Math. 102, No. 1, 85--93 (1992; Zbl 0754.05006) Full Text: DOI
Gessel, Ira M.; Zeilberger, Doron Random walk in a Weyl chamber. (English) Zbl 0792.05148 Proc. Am. Math. Soc. 115, No. 1, 27-31 (1992). MSC: 05E15 05A15 60G50 PDFBibTeX XMLCite \textit{I. M. Gessel} and \textit{D. Zeilberger}, Proc. Am. Math. Soc. 115, No. 1, 27--31 (1992; Zbl 0792.05148) Full Text: DOI
Foata, Dominique; Zeilberger, Doron Multibasic Eulerian polynomials. (English) Zbl 0790.05003 Trans. Am. Math. Soc. 328, No. 2, 843-862 (1991). MSC: 05A05 05A15 05E30 05A30 11B65 11B68 20C30 05E10 PDFBibTeX XMLCite \textit{D. Foata} and \textit{D. Zeilberger}, Trans. Am. Math. Soc. 328, No. 2, 843--862 (1991; Zbl 0790.05003) Full Text: DOI
Zeilberger, Doron A one-line high school algebra proof of the unimodality of the Gaussian polynomials \(\left[n\choose k\right]\) for \(k<20\). (English) Zbl 0727.05001 q-Series and partitions, Proc. Workshop, Minneapolis/MN (USA) 1988, IMA Vol. Math. Appl. 18, 67-72 (1989). MSC: 05A05 05A15 PDFBibTeX XML
Zeilberger, Doron Identities. (English) Zbl 0702.05005 q-Series and partitions, Proc. Workshop, Minneapolis/MN (USA) 1988, IMA Vol. Math. Appl. 18, 35-44 (1989). Reviewer: K.Alladi MSC: 05A19 05A10 05A15 PDFBibTeX XML
Zeilberger, Doron Six etudes in generating functions. (English) Zbl 0689.05003 Int. J. Comput. Math. 29, No. 2-4, 201-215 (1989). Reviewer: J.Cigler MSC: 05A15 PDFBibTeX XMLCite \textit{D. Zeilberger}, Int. J. Comput. Math. 29, No. 2--4, 201--215 (1989; Zbl 0689.05003) Full Text: DOI
Zeilberger, Doron A combinatorial problem that arose in biophysics. (English) Zbl 0679.05002 Fibonacci Q. 27, No. 4, 372 (1989). MSC: 05A15 92C05 PDFBibTeX XMLCite \textit{D. Zeilberger}, Fibonacci Q. 27, No. 4, 372 (1989; Zbl 0679.05002)
Foata, Dominique; Zeilberger, Doron Laguerre polynomials, weighted derangements, and positivity. (English) Zbl 0662.05003 SIAM J. Discrete Math. 1, No. 4, 425-433 (1988). Reviewer: R.Askey MSC: 05A15 33C45 PDFBibTeX XMLCite \textit{D. Foata} and \textit{D. Zeilberger}, SIAM J. Discrete Math. 1, No. 4, 425--433 (1988; Zbl 0662.05003) Full Text: DOI
Zeilberger, Doron A unified approach to Macdonald’s root-system conjectures. (English) Zbl 0658.05005 SIAM J. Math. Anal. 19, No. 4, 987-1011 (1988). Reviewer: D.M.Bressoud MSC: 05A15 33B15 17B65 05A17 33C80 17B20 PDFBibTeX XMLCite \textit{D. Zeilberger}, SIAM J. Math. Anal. 19, No. 4, 987--1011 (1988; Zbl 0658.05005) Full Text: DOI Link
Zeilberger, Doron Enumerating totally clean words. (English) Zbl 0655.05004 Discrete Math. 64, 313-315 (1987). Reviewer: E.Fuchs MSC: 05A15 PDFBibTeX XMLCite \textit{D. Zeilberger}, Discrete Math. 64, 313--315 (1987; Zbl 0655.05004) Full Text: DOI
Zeilberger, Doron A proof of the \(G_ 2\) case of Macdonald’s root System-Dyson conjecture. (English) Zbl 0643.05004 SIAM J. Math. Anal. 18, 880-883 (1987). Reviewer: D.Zeilberger MSC: 05A15 17B20 33C05 PDFBibTeX XMLCite \textit{D. Zeilberger}, SIAM J. Math. Anal. 18, 880--883 (1987; Zbl 0643.05004) Full Text: DOI
Zeilberger, Doron Toward a combinatorial proof of the Jacobian conjecture? (English) Zbl 0622.05004 Combinatoire énumérative, Proc. Colloq., Montréal/Can. 1985, Lect. Notes Math. 1234, 370-380 (1986). MSC: 05A15 PDFBibTeX XML
Wimp, Jet; Zeilberger, Doron Resurrecting the asymptotics of linear recurrences. (English) Zbl 0579.05007 J. Math. Anal. Appl. 111, 162-176 (1985). Reviewer: P.Reichensperger MSC: 05A15 65N22 68R99 PDFBibTeX XMLCite \textit{J. Wimp} and \textit{D. Zeilberger}, J. Math. Anal. Appl. 111, 162--176 (1985; Zbl 0579.05007) Full Text: DOI
Bressoud, David M.; Zeilberger, Doron Bijecting Euler’s partitions-recurrence. (English) Zbl 0575.10007 Am. Math. Mon. 92, 54-55 (1985). Reviewer: I.Anderson MSC: 11P81 05A15 05A17 PDFBibTeX XMLCite \textit{D. M. Bressoud} and \textit{D. Zeilberger}, Am. Math. Mon. 92, 54--55 (1985; Zbl 0575.10007) Full Text: DOI
Zeilberger, Doron; Bressoud, David M. A proof of Andrews’ \(q\)-Dyson conjecture. (English) Zbl 0565.33001 Discrete Math. 54, 201-224 (1985). Reviewer: R.Askey MSC: 33D15 05A15 PDFBibTeX XMLCite \textit{D. Zeilberger} and \textit{D. M. Bressoud}, Discrete Math. 54, 201--224 (1985; Zbl 0565.33001) Full Text: DOI
Zeilberger, Doron A short Hook-lengths bijection inspired by the Greene-Nijenhuis-Wilf proof. (English) Zbl 0551.05010 Discrete Math. 51, 101-108 (1984). Reviewer: D.Bressoud MSC: 05A15 PDFBibTeX XMLCite \textit{D. Zeilberger}, Discrete Math. 51, 101--108 (1984; Zbl 0551.05010) Full Text: DOI
Gillis, J.; Reznick, B.; Zeilberger, D. On elementary methods in positivity theory. (English) Zbl 0599.42500 SIAM J. Math. Anal. 14, 396-398 (1983). MSC: 42A85 05A15 33C45 PDFBibTeX XMLCite \textit{J. Gillis} et al., SIAM J. Math. Anal. 14, 396--398 (1983; Zbl 0599.42500) Full Text: DOI Link
Gillis, J.; Zeilberger, D. A direct combinatorial proof of a positivity result. (English) Zbl 0577.05004 Eur. J. Comb. 4, 221-223 (1983). MSC: 05A15 PDFBibTeX XMLCite \textit{J. Gillis} and \textit{D. Zeilberger}, Eur. J. Comb. 4, 221--223 (1983; Zbl 0577.05004) Full Text: DOI
Zeilberger, Doron Andre’s reflection proof generalized to the many-candidate ballot problem. (English) Zbl 0508.05008 Discrete Math. 44, 325-326 (1983). MSC: 05A15 05A05 PDFBibTeX XMLCite \textit{D. Zeilberger}, Discrete Math. 44, 325--326 (1983; Zbl 0508.05008) Full Text: DOI
Franzblau, D. S.; Zeilberger, Doron A bijective proof of the Hook-length formula. (English) Zbl 0498.68042 J. Algorithms 3, 317-343 (1982). MSC: 68R10 05A15 68Q25 05C25 05A17 PDFBibTeX XMLCite \textit{D. S. Franzblau} and \textit{D. Zeilberger}, J. Algorithms 3, 317--343 (1982; Zbl 0498.68042) Full Text: DOI
Zeilberger, Doron Enumeration of words by their number of mistakes. (English) Zbl 0461.05005 Discrete Math. 34, 89-91 (1981). MSC: 05A15 03D40 PDFBibTeX XMLCite \textit{D. Zeilberger}, Discrete Math. 34, 89--91 (1981; Zbl 0461.05005) Full Text: DOI
Gillis, Joe; Reznick, Bruce; Zeilberger, Doron On elementary methods in positivity theory. (English) Zbl 1007.42501 Sémin. Lothar. Comb. 5, B05e, no pag. (1981). MSC: 42A85 05A15 PDFBibTeX XMLCite \textit{J. Gillis} et al., Sémin. Lothar. Comb. 5, B05e, no pag. (1981; Zbl 1007.42501) Full Text: EMIS
Zeilberger, Doron The algebra of linear partial difference operators and its applications. (English) Zbl 0458.39002 SIAM J. Math. Anal. 11, 919-932 (1980). MSC: 39A70 05A15 PDFBibTeX XMLCite \textit{D. Zeilberger}, SIAM J. Math. Anal. 11, 919--932 (1980; Zbl 0458.39002) Full Text: DOI
Zeilberger, Doron Some comments on Rota’s umbral calculus. (English) Zbl 0449.42012 J. Math. Anal. Appl. 74, 456-463 (1980). MSC: 42A38 42C15 47B37 05A15 PDFBibTeX XMLCite \textit{D. Zeilberger}, J. Math. Anal. Appl. 74, 456--463 (1980; Zbl 0449.42012) Full Text: DOI
Zeilberger, Doron Partial difference equations in \(m_1\geq m_2\geq \dots \geq m_n\geq 0\) and their applications to combinatorics. (English) Zbl 0447.05012 Discrete Math. 31, 65-77 (1980). MSC: 05B10 39A10 05A15 05A17 PDFBibTeX XMLCite \textit{D. Zeilberger}, Discrete Math. 31, 65--77 (1980; Zbl 0447.05012) Full Text: DOI
Zeilberger, Doron A lattice walk approach to the ”inv” and ”maj” q-counting of multiset permutations. (English) Zbl 0439.05004 J. Math. Anal. Appl. 74, 192-199 (1980). MSC: 05A15 05A05 PDFBibTeX XMLCite \textit{D. Zeilberger}, J. Math. Anal. Appl. 74, 192--199 (1980; Zbl 0439.05004) Full Text: DOI