Compute Distance To:
 Documents Indexed: 30 Publications since 1989 Biographic References: 1 Publication Co-Authors: 14 Co-Authors with 24 Joint Publications 387 Co-Co-Authors
all top 5

### Co-Authors

 6 single-authored 17 Zeilberger, Doron 1 Ahlgren, Scott D. 1 Amdeberhan, Tewodros 1 Andrews, George Eyre 1 Brignall, Robert 1 Georgiadis, Evangelos 1 Majewicz, John E. 1 Mohammed, Mohamud 1 Ono, Ken 1 Parnes, Sheldon 1 Tre, Sol 1 Vatter, Vincent Russell 1 Zeleke, Melkamu 1 Zudilin, Wadim
all top 5

### Serials

 4 Journal of Difference Equations and Applications 3 Discrete Mathematics 3 Journal of Combinatorial Theory. Series A 3 The Electronic Journal of Combinatorics 2 The Mathematical Intelligencer 1 American Mathematical Monthly 1 Journal of Mathematical Analysis and Applications 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Advances in Applied Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Annals of Combinatorics 1 Journal of Integer Sequences 1 Integers
all top 5

### Fields

 17 Combinatorics (05-XX) 8 Special functions (33-XX) 6 Number theory (11-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 117 times in 95 Documents Cited by Year
A WZ proof of Ramanujan’s formula for $$\pi$$. Zbl 0849.33003
1994
A very short proof of Dixon’s theorem. Zbl 0707.05007
1990
A purely verification proof of the first Rogers-Ramanujan identity. Zbl 0702.05007
1990
A binomial coefficient identity associated to a conjecture of Beukers. Zbl 0885.05017
Ahlgren, Scott; Ekhad, Shalosh B.; Ono, Ken; Zeilberger, Doron
1998
A short proof of a ‘strange’ combinatorial identity conjectured by Gosper. Zbl 0741.05004
1991
A short proof of Jacobi’s formula for the number of representations of an integer as a sum of four squares. Zbl 0769.11020
Andrews, George E.; Ekhad, Shalosh B.; Zeilberger, Doron
1993
Integrals involving Rudin-Shapiro polynomials and sketch of a proof of Saffari’s conjecture. Zbl 1391.11050
2017
A 21st century proof of Dougall’s hypergeometric sum identity. Zbl 0714.33002
1990
A condensed condensation proof of a determinant evaluation conjectured by Greg Kuperberg and Jim Propp. Zbl 0874.05006
1997
How to generate as many Somos-like miracles as you wish. Zbl 1292.39004
2014
A one-line proof of the Habsieger-Zeilberger $$G_ 2$$ constant term identity. Zbl 0737.33010
1991
A WZ-style proof of Jacobi polynomials’ generating function. Zbl 0784.33005
1992
Short proofs of two hypergeometric summation formulas of Karlsson. Zbl 0688.33001
1989
There are more than $$2^{n/17}$$ $$n$$-letter ternary square-free words. Zbl 1018.68060
1998
Curing the Andrews syndrome. Zbl 0913.05005
1998
A short, elementary, and easy, WZ proof of the Askey-Gasper inequality that was used by de Branges in his proof of the Bieberbach conjecture. Zbl 0780.33004
1993
Examples of noninjectivity for the combinatorial Radon transform. Zbl 0933.05007
1999
The number of solutions of $$X^ 2 = 0$$ in triangular matrices over $$GF(q)$$. Zbl 0851.15010
1996
Balls in boxes: variations on a theme of Warren Ewens and Herbert Wilf. Zbl 1301.92073
2013
Automatic counting of tilings of skinny plane regions. Zbl 1302.05032
2013
D.H. Lehmer’s tridiagonal determinant: an étude in (Andrews-inspired) experimental mathematics. Zbl 1433.05031
2019
A short WZ-style proof of Abel’s identity. Zbl 0851.05010
Ekhad, Shalosh B.; Majewicz, John E.
1996
Almost avoiding permutations. Zbl 1228.05007
Brignall, Robert; Ekhad, Shalosh B.; Smith, Rebecca; Vatter, Vincent
2009
Using Rota’s Umbral calculus to enumerate Stanley’s $$P$$-partitions. Zbl 1161.05005
2008
Plane geometry: An elementary school textbook (ca. 2050 AD). Zbl 1052.51500
1999
A high-school algebra, “Formal calculus”, proof of the Bieberbach conjecture [after L. Weinstein]. Zbl 0894.30013
1994
A WZ proof of a “curious” identity. Zbl 1078.05506
2003
Proof of Conway’s lost cosmological theorem. Zbl 0883.05011
1997
Two definite integrals that are definitely (and surprisingly!) equal. Zbl 1462.26003
2020
Two definite integrals that are definitely (and surprisingly!) equal. Zbl 1462.26003
2020
D.H. Lehmer’s tridiagonal determinant: an étude in (Andrews-inspired) experimental mathematics. Zbl 1433.05031
2019
Integrals involving Rudin-Shapiro polynomials and sketch of a proof of Saffari’s conjecture. Zbl 1391.11050
2017
How to generate as many Somos-like miracles as you wish. Zbl 1292.39004
2014
Balls in boxes: variations on a theme of Warren Ewens and Herbert Wilf. Zbl 1301.92073
2013
Automatic counting of tilings of skinny plane regions. Zbl 1302.05032
2013
Almost avoiding permutations. Zbl 1228.05007
Brignall, Robert; Ekhad, Shalosh B.; Smith, Rebecca; Vatter, Vincent
2009
Using Rota’s Umbral calculus to enumerate Stanley’s $$P$$-partitions. Zbl 1161.05005
2008
A WZ proof of a “curious” identity. Zbl 1078.05506
2003
Examples of noninjectivity for the combinatorial Radon transform. Zbl 0933.05007
1999
Plane geometry: An elementary school textbook (ca. 2050 AD). Zbl 1052.51500
1999
A binomial coefficient identity associated to a conjecture of Beukers. Zbl 0885.05017
Ahlgren, Scott; Ekhad, Shalosh B.; Ono, Ken; Zeilberger, Doron
1998
There are more than $$2^{n/17}$$ $$n$$-letter ternary square-free words. Zbl 1018.68060
1998
Curing the Andrews syndrome. Zbl 0913.05005
1998
A condensed condensation proof of a determinant evaluation conjectured by Greg Kuperberg and Jim Propp. Zbl 0874.05006
1997
Proof of Conway’s lost cosmological theorem. Zbl 0883.05011
1997
The number of solutions of $$X^ 2 = 0$$ in triangular matrices over $$GF(q)$$. Zbl 0851.15010
1996
A short WZ-style proof of Abel’s identity. Zbl 0851.05010
Ekhad, Shalosh B.; Majewicz, John E.
1996
A WZ proof of Ramanujan’s formula for $$\pi$$. Zbl 0849.33003
1994
A high-school algebra, “Formal calculus”, proof of the Bieberbach conjecture [after L. Weinstein]. Zbl 0894.30013
1994
A short proof of Jacobi’s formula for the number of representations of an integer as a sum of four squares. Zbl 0769.11020
Andrews, George E.; Ekhad, Shalosh B.; Zeilberger, Doron
1993
A short, elementary, and easy, WZ proof of the Askey-Gasper inequality that was used by de Branges in his proof of the Bieberbach conjecture. Zbl 0780.33004
1993
A WZ-style proof of Jacobi polynomials’ generating function. Zbl 0784.33005
1992
A short proof of a ‘strange’ combinatorial identity conjectured by Gosper. Zbl 0741.05004
1991
A one-line proof of the Habsieger-Zeilberger $$G_ 2$$ constant term identity. Zbl 0737.33010
1991
A very short proof of Dixon’s theorem. Zbl 0707.05007
1990
A purely verification proof of the first Rogers-Ramanujan identity. Zbl 0702.05007
1990
A 21st century proof of Dougall’s hypergeometric sum identity. Zbl 0714.33002
1990
Short proofs of two hypergeometric summation formulas of Karlsson. Zbl 0688.33001
1989
all top 5

### Cited by 118 Authors

 11 Guo, Victor J. W. 10 Zeilberger, Doron 4 Chu, Wenchang 3 Srivastava, Hari Mohan 3 van der Kamp, Peter H. 3 Wei, Chuanan 3 Wilf, Herbert S. 2 Abeles, Francine F. 2 Amdeberhan, Tewodros 2 Campbell, John Maxwell 2 Erdélyi, Tamás 2 Guillera, Jesús 2 Hamad, Khaled 2 He, Bing 2 Quispel, Gilles Reinout Willem 2 Sagan, Bruce Eli 2 Wang, Xiaoxia 2 Zeng, Jiang 2 Zudilin, Wadim 1 Bai, Mei 1 Ballantine, Cristina M. 1 Bennett, Curtis D. 1 Berstel, Jean 1 Borga, Jacopo 1 Bostan, Alin 1 Burstein, Alexander 1 Carrillo, Juan D. 1 Cha, Yongjae 1 Chamizo Lorente, Fernando 1 Chen, Mingpo 1 Chen, Shaoshi 1 Chen, William Yong-Chuan 1 Chen, Yungui 1 Chern, Shane 1 Currie, James D. 1 Dai, Jingjing 1 De Loera, Jesús A. 1 Donley, Robert W. jun. 1 Duchi, Enrica 1 Fan, Xiaona 1 Fu, Bin 1 Gessel, Ira Martin 1 Goulden, Ian P. 1 Grimm, Uwe 1 Gu, Pengfei 1 Gupta, L. C. 1 Hahn, Heekyoung 1 Harju, Tero 1 Hästö, Peter A. 1 Heuer, Manuela 1 Hone, Andrew N. W. 1 Hou, Qinghu 1 Hou, Xiaorong 1 Johansen, Mikkel Willum 1 Jouhet, Frédéric 1 Kibelbek, Jonas 1 Kilic, Emrah 1 Kim, Junkyo 1 Koepf, Wolfram A. 1 Komlós, János 1 Levrie, Paul 1 Li, Hongbo 1 Liu, Jicai 1 Lohr, Andrew 1 Long, Ling 1 Machacek, John M. 1 Matera, Josefina 1 Mc Laughlin, James G. 1 Méndez, Miguel A. 1 Merca, Mircea 1 Mező, István 1 Miki, Jovan 1 Misfeldt, Morten 1 Moss, Kevin 1 Mu, Yanping 1 Nowicki, Andrzej 1 Ohyama, Hiroshi 1 Osburn, Robert 1 Ovchinnikov, Alexey Igorevich 1 Pak, Igor 1 Sundqvist, Mikael Persson 1 Pogudin, Gleb A. 1 Prodinger, Helmut 1 Rodgers, Brad 1 Savage, Carla D. 1 Scanlon, Thomas J. 1 Schneider, Carsten 1 Sergel, Emily 1 Sheller, Benjamin A. 1 Shen, Bobby 1 Shuldiner, Pavel 1 Sills, Andrew V. 1 Slivken, Erik 1 Sofo, Anthony 1 Straub, Armin 1 Strehl, Volker 1 Sun, Zhi-Wei 1 Tefera, Akalu 1 Tusnády, Gábor 1 Wang, Chenying ...and 18 more Authors
all top 5

### Cited in 46 Serials

 12 The Ramanujan Journal 6 Journal of Symbolic Computation 5 Discrete Mathematics 5 Theoretical Computer Science 4 Journal of Mathematical Analysis and Applications 3 Rocky Mountain Journal of Mathematics 3 European Journal of Combinatorics 3 Advances in Applied Mathematics 3 Integral Transforms and Special Functions 3 Journal of Difference Equations and Applications 3 Integers 2 The Mathematical Intelligencer 2 Journal of Number Theory 2 Proceedings of the American Mathematical Society 2 Linear Algebra and its Applications 2 The Electronic Journal of Combinatorics 2 International Journal of Number Theory 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Journal d’Analyse Mathématique 1 Mathematische Semesterberichte 1 Mathematics of Computation 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Czechoslovak Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Experimental Mathematics 1 Annals of Combinatorics 1 Journal of Integer Sequences 1 Journal of the European Mathematical Society (JEMS) 1 International Studies in the Philosophy of Science 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Entropy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 East Asian Mathematical Journal 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 Special Matrices
all top 5

### Cited in 26 Fields

 49 Combinatorics (05-XX) 41 Number theory (11-XX) 38 Special functions (33-XX) 12 Computer science (68-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Difference and functional equations (39-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Sequences, series, summability (40-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX)