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Ekhad, Shalosh B. (computer)

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Author ID: ekhad.shalosh-b Recent zbMATH articles by "Ekhad, Shalosh B. (computer)"
Published as: Ekhad, Shalosh B.; Ekhad, Shalosh B. XIV; Ekhad, Shalosh
Homepage: http://www.math.rutgers.edu/~zeilberg/ekhad.html
External Links: dblp
Documents Indexed: 30 Publications since 1989
Biographic References: 1 Publication
Co-Authors: 14 Co-Authors with 24 Joint Publications
387 Co-Co-Authors

Publications by Year

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
Ekhad, Shalosh B.; Zeilberger, Doron
16
1994
A very short proof of Dixon’s theorem. Zbl 0707.05007
Ekhad, Shalosh B.
11
1990
A purely verification proof of the first Rogers-Ramanujan identity. Zbl 0702.05007
Ekhad, Shalosh B.; Tre, Sol
7
1990
A binomial coefficient identity associated to a conjecture of Beukers. Zbl 0885.05017
Ahlgren, Scott; Ekhad, Shalosh B.; Ono, Ken; Zeilberger, Doron
7
1998
A short proof of a ‘strange’ combinatorial identity conjectured by Gosper. Zbl 0741.05004
Ekhad, Shalosh B.
6
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
6
1993
Integrals involving Rudin-Shapiro polynomials and sketch of a proof of Saffari’s conjecture. Zbl 1391.11050
Ekhad, Shalosh B.; Zeilberger, Doron
6
2017
A 21st century proof of Dougall’s hypergeometric sum identity. Zbl 0714.33002
Ekhad, Shalosh B.; Zeilberger, Doron
5
1990
A condensed condensation proof of a determinant evaluation conjectured by Greg Kuperberg and Jim Propp. Zbl 0874.05006
Amdeberhan, Tewodros; Ekhad, Shalosh B.
5
1997
How to generate as many Somos-like miracles as you wish. Zbl 1292.39004
Ekhad, Shalosh B.; Zeilberger, Doron
5
2014
A one-line proof of the Habsieger-Zeilberger \(G_ 2\) constant term identity. Zbl 0737.33010
Ekhad, Shalosh B.
4
1991
A WZ-style proof of Jacobi polynomials’ generating function. Zbl 0784.33005
Parnes, Sheldon; Ekhad, Shalosh B.
4
1992
Short proofs of two hypergeometric summation formulas of Karlsson. Zbl 0688.33001
Ekhad, Shalosh B.
4
1989
There are more than \(2^{n/17}\) \(n\)-letter ternary square-free words. Zbl 1018.68060
Ekhad, Shalosh B.; Zeilberger, Doron
4
1998
Curing the Andrews syndrome. Zbl 0913.05005
Ekhad, Shalosh B.; Zeilberger, Doron
4
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
Ekhad, Shalosh B.
3
1993
Examples of noninjectivity for the combinatorial Radon transform. Zbl 0933.05007
Ekhad, Shalosh; Zeleke, Melkamu
3
1999
The number of solutions of \(X^ 2 = 0\) in triangular matrices over \(GF(q)\). Zbl 0851.15010
Ekhad, Shalosh B.; Zeilberger, Doron
3
1996
Balls in boxes: variations on a theme of Warren Ewens and Herbert Wilf. Zbl 1301.92073
Ekhad, Shalosh B.; Zeilberger, Doron
2
2013
Automatic counting of tilings of skinny plane regions. Zbl 1302.05032
Ekhad, Shalosh B.; Zeilberger, Doron
2
2013
D.H. Lehmer’s tridiagonal determinant: an étude in (Andrews-inspired) experimental mathematics. Zbl 1433.05031
Ekhad, Shalosh B.; Zeilberger, Doron
2
2019
A short WZ-style proof of Abel’s identity. Zbl 0851.05010
Ekhad, Shalosh B.; Majewicz, John E.
1
1996
Almost avoiding permutations. Zbl 1228.05007
Brignall, Robert; Ekhad, Shalosh B.; Smith, Rebecca; Vatter, Vincent
1
2009
Using Rota’s Umbral calculus to enumerate Stanley’s \(P\)-partitions. Zbl 1161.05005
Ekhad, Shalosh B.; Zeilberger, Doron
1
2008
Plane geometry: An elementary school textbook (ca. 2050 AD). Zbl 1052.51500
Ekhad, Shalosh B. XIV
1
1999
A high-school algebra, “Formal calculus”, proof of the Bieberbach conjecture [after L. Weinstein]. Zbl 0894.30013
Ekhad, Shalosh B.; Zeilberger, Doron
1
1994
A WZ proof of a “curious” identity. Zbl 1078.05506
Ekhad, Shalosh B.; Mohammed, Mohamud
1
2003
Proof of Conway’s lost cosmological theorem. Zbl 0883.05011
Ekhad, Shalosh B.; Zeilberger, Doron
1
1997
Two definite integrals that are definitely (and surprisingly!) equal. Zbl 1462.26003
Ekhad, Shalosh B.; Zeilberger, Doron; Zudilin, Wadim
1
2020
Two definite integrals that are definitely (and surprisingly!) equal. Zbl 1462.26003
Ekhad, Shalosh B.; Zeilberger, Doron; Zudilin, Wadim
1
2020
D.H. Lehmer’s tridiagonal determinant: an étude in (Andrews-inspired) experimental mathematics. Zbl 1433.05031
Ekhad, Shalosh B.; Zeilberger, Doron
2
2019
Integrals involving Rudin-Shapiro polynomials and sketch of a proof of Saffari’s conjecture. Zbl 1391.11050
Ekhad, Shalosh B.; Zeilberger, Doron
6
2017
How to generate as many Somos-like miracles as you wish. Zbl 1292.39004
Ekhad, Shalosh B.; Zeilberger, Doron
5
2014
Balls in boxes: variations on a theme of Warren Ewens and Herbert Wilf. Zbl 1301.92073
Ekhad, Shalosh B.; Zeilberger, Doron
2
2013
Automatic counting of tilings of skinny plane regions. Zbl 1302.05032
Ekhad, Shalosh B.; Zeilberger, Doron
2
2013
Almost avoiding permutations. Zbl 1228.05007
Brignall, Robert; Ekhad, Shalosh B.; Smith, Rebecca; Vatter, Vincent
1
2009
Using Rota’s Umbral calculus to enumerate Stanley’s \(P\)-partitions. Zbl 1161.05005
Ekhad, Shalosh B.; Zeilberger, Doron
1
2008
A WZ proof of a “curious” identity. Zbl 1078.05506
Ekhad, Shalosh B.; Mohammed, Mohamud
1
2003
Examples of noninjectivity for the combinatorial Radon transform. Zbl 0933.05007
Ekhad, Shalosh; Zeleke, Melkamu
3
1999
Plane geometry: An elementary school textbook (ca. 2050 AD). Zbl 1052.51500
Ekhad, Shalosh B. XIV
1
1999
A binomial coefficient identity associated to a conjecture of Beukers. Zbl 0885.05017
Ahlgren, Scott; Ekhad, Shalosh B.; Ono, Ken; Zeilberger, Doron
7
1998
There are more than \(2^{n/17}\) \(n\)-letter ternary square-free words. Zbl 1018.68060
Ekhad, Shalosh B.; Zeilberger, Doron
4
1998
Curing the Andrews syndrome. Zbl 0913.05005
Ekhad, Shalosh B.; Zeilberger, Doron
4
1998
A condensed condensation proof of a determinant evaluation conjectured by Greg Kuperberg and Jim Propp. Zbl 0874.05006
Amdeberhan, Tewodros; Ekhad, Shalosh B.
5
1997
Proof of Conway’s lost cosmological theorem. Zbl 0883.05011
Ekhad, Shalosh B.; Zeilberger, Doron
1
1997
The number of solutions of \(X^ 2 = 0\) in triangular matrices over \(GF(q)\). Zbl 0851.15010
Ekhad, Shalosh B.; Zeilberger, Doron
3
1996
A short WZ-style proof of Abel’s identity. Zbl 0851.05010
Ekhad, Shalosh B.; Majewicz, John E.
1
1996
A WZ proof of Ramanujan’s formula for \(\pi\). Zbl 0849.33003
Ekhad, Shalosh B.; Zeilberger, Doron
16
1994
A high-school algebra, “Formal calculus”, proof of the Bieberbach conjecture [after L. Weinstein]. Zbl 0894.30013
Ekhad, Shalosh B.; Zeilberger, Doron
1
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
6
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
Ekhad, Shalosh B.
3
1993
A WZ-style proof of Jacobi polynomials’ generating function. Zbl 0784.33005
Parnes, Sheldon; Ekhad, Shalosh B.
4
1992
A short proof of a ‘strange’ combinatorial identity conjectured by Gosper. Zbl 0741.05004
Ekhad, Shalosh B.
6
1991
A one-line proof of the Habsieger-Zeilberger \(G_ 2\) constant term identity. Zbl 0737.33010
Ekhad, Shalosh B.
4
1991
A very short proof of Dixon’s theorem. Zbl 0707.05007
Ekhad, Shalosh B.
11
1990
A purely verification proof of the first Rogers-Ramanujan identity. Zbl 0702.05007
Ekhad, Shalosh B.; Tre, Sol
7
1990
A 21st century proof of Dougall’s hypergeometric sum identity. Zbl 0714.33002
Ekhad, Shalosh B.; Zeilberger, Doron
5
1990
Short proofs of two hypergeometric summation formulas of Karlsson. Zbl 0688.33001
Ekhad, Shalosh B.
4
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

Citations by Year