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Paule, Peter

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Author ID: paule.peter Recent zbMATH articles by "Paule, Peter"
Published as: Paule, Peter; Paule, P.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 70 Publications since 1983, including 6 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 581 times in 416 Documents Cited by Year
A Mathematica version of Zeilberger’s algorithm for proving binomial coefficient identities. Zbl 0851.68052
Paule, Peter; Schorn, Markus
53
1995
Computer proofs of a new family of harmonic number identities. Zbl 1039.11007
Paule, Peter; Schneider, Carsten
48
2003
A Mathematica \(q\)-analogue of Zeilberger’s algorithm based on an algebraically motivated approach to \(q\)-hypergeometric telescoping. Zbl 0869.33010
Paule, Peter; Riese, Axel
46
1997
MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010
Andrews, George E.; Paule, Peter
40
2007
The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates. Zbl 1225.00001
Kauers, Manuel; Paule, Peter
36
2011
Greatest factorial factorization and symbolic summation. Zbl 0854.68047
Paule, Peter
33
1995
MacMahon’s partition analysis: The Omega package. Zbl 0979.05008
Andrews, George E.; Paule, Peter; Riese, Axel
30
2001
\(q\)-hypergeometric solutions of \(q\)-difference equations. Zbl 0932.33019
Abramov, Sergei A.; Paule, Peter; Petkovšek, Marko
27
1998
On identities of the Rogers-Ramanujan type. Zbl 0582.10008
Paule, Peter
22
1985
A computer proof of Moll’s log-concavity conjecture. Zbl 1126.33009
Kauers, Manuel; Paule, Peter
21
2007
Infinite families of strange partition congruences for broken 2-diamonds. Zbl 1218.05024
Paule, Peter; Radu, Silviu
20
2010
The Andrews-Sellers family of partition congruences. Zbl 1300.11104
Paule, Peter; Radu, Cristian-Silviu
18
2012
Short and easy computer proofs of the Rogers-Ramanujan identities and of identities of similar type. Zbl 0814.05009
Paule, Peter
16
1994
Plane partitions. VI: Stembridge’s TSPP theorem. Zbl 1066.05019
Andrews, George E.; Paule, Peter; Schneider, Carsten
13
2005
A computer proof of a series evaluation in terms of harmonic numbers. Zbl 1011.33003
Lyons, Russell; Paule, Peter; Riese, Axel
11
2002
An infinite family of Engel expansions of Rogers-Ramanujan type. Zbl 0972.11068
Andrews, George E.; Knopfmacher, Arnold; Paule, Peter
10
2000
MacMahon’s partition analysis. V: Bijections, recursions, and magic squares. Zbl 0972.05004
Andrews, George E.; Paule, Peter; Riese, Axel; Strehl, Volker
9
2001
Lattice paths, \(q\)-multinomials and two variants of the Andrews-Gordon identities. Zbl 0993.05014
Berkovich, Alexander; Paule, Peter
9
2001
MacMahon’s partition analysis. VI: A new reduction algorithm. Zbl 1027.05005
Andrews, George E.; Paule, Peter; Riese, Axel
9
2001
MacMahon’s partition analysis. VIII: Plane partition diamonds. Zbl 0992.05017
Andrews, George E.; Paule, Peter; Riese, Axel
8
2001
Variants of the Andrews-Gordon identities. Zbl 0993.05013
Berkovich, Alexander; Paule, Peter
8
2001
The construction of orthonormal wavelets using symbolic methods and a matrix analytical approach for wavelets on the interval. Zbl 0974.42027
Chyzak, Frédéric; Paule, Peter; Scherzer, Otmar; Schoisswohl, Armin; Zimmermann, Burkhard
7
2001
Some questions concerning computer-generated proofs of a binomial double- sum identity. Zbl 0836.05003
Andrews, George E.; Paule, Peter
7
1993
MacMahon’s partition analysis. VII: Constrained compositions. Zbl 1023.05013
Andrews, George E.; Paule, Peter; Riese, Axel
7
2001
MacMahon’s partition analysis. XII: Plane partitions. Zbl 1137.05008
Andrews, George E.; Paule, Peter
6
2007
The concept of Bailey chains. Zbl 0978.05521
Paule, Peter
6
1987
MacMahon’s partition analysis. IV: Hypergeometric multisums. Zbl 0921.05006
Andrews, George E.; Paule, Peter
6
1999
MacMahon’s partition analysis. IX: \(k\)-gon partitions. Zbl 0995.05007
Andrews, George E.; Paule, Peter; Riese, Axel
5
2001
\(q\)-Engel series expansions and Slater’s identities. Zbl 1024.11054
Andrews, George E.; Knopfmacher, Arnold; Paule, Peter; Prodinger, Helmut
5
2001
A note on Bailey’s lemma. Zbl 0606.05006
Paule, Peter
5
1987
Converging to Gosper’s algorithm. Zbl 1173.33316
Chen, William Y. C.; Paule, Peter; Saad, Husam L.
4
2008
A proof of the Weierstraß gap theorem not using the Riemann-Roch formula. Zbl 1459.14014
Paule, Peter; Radu, Cristian-Silviu
4
2019
MacMahon’s partition analysis. X: Plane partitions with diagonals. Zbl 1080.11073
Andrews, G. E.; Paule, Peter; Riese, Axel
3
2004
A canonical form guide to symbolic summation. Zbl 0884.68064
Paule, P.; Nemes, I.
3
1997
Hypergeometric summation algorithms for high-order finite elements. Zbl 1113.65105
Bećirović, A.; Paule, P.; Pillwein, V.; Riese, A.; Schneider, C.; Schöberl, J.
3
2006
A new witness identity for \(11\mid p(11n+6)\). Zbl 1416.11155
Paule, Peter; Radu, Cristian-Silviu
3
2017
Partition analysis, modular functions, and computer algebra. Zbl 1354.05010
Paule, Peter; Radu, Silviu
3
2016
Truncating binomial series with symbolic summation. Zbl 1120.05005
Paule, Peter; Schneider, Carsten
2
2007
The variance of the vertex degrees of randomly generated graphs. Zbl 1050.05110
Gutman, Ivan; Paule, Peter
2
2002
Relativistic Coulomb integrals and Zeilberger’s holonomic systems approach. II. Zbl 1403.68365
Koutschan, Christoph; Paule, Peter; Suslov, Sergei K.
2
2014
Improvement of the degree setting in Gosper’s algorithm. Zbl 0872.33001
Lisoněk, Petr; Paule, Peter; Strehl, Volker
2
1993
Wavelets with scale dependent properties. Zbl 1027.65191
Paule, Peter; Scherzer, Otmar; Schoisswohl, Armin
2
2003
Relativistic Coulomb integrals and Zeilberger’s holonomic systems approach. I. Zbl 1308.81084
Paule, Peter; Suslov, Sergei K.
2
2013
MacMahon’s dream. Zbl 1242.05016
Andrews, George E.; Paule, Peter
1
2012
Numerical and symbolic scientific computing. Progress and prospects. Zbl 1234.65014
Langer, Ulrich (ed.); Paule, Peter (ed.)
1
2012
A classical hypergeometric proof of an important transformation formula found by J.-B. Baillon and R. E. Bruck. Zbl 0868.33003
Paule, Peter
1
1996
Fountains, histograms, and \(q\)-identitie. Zbl 1035.68087
Paule, Peter; Prodinger, Helmut
1
2003
Engel expansions of \(q\)-series by computer algebra. Zbl 1055.33018
Andrews, George E.; Knopfmacher, Arnold; Paule, Peter; Zimmermann, Burkhard
1
2001
A proof of the Weierstraß gap theorem not using the Riemann-Roch formula. Zbl 1459.14014
Paule, Peter; Radu, Cristian-Silviu
4
2019
A new witness identity for \(11\mid p(11n+6)\). Zbl 1416.11155
Paule, Peter; Radu, Cristian-Silviu
3
2017
Partition analysis, modular functions, and computer algebra. Zbl 1354.05010
Paule, Peter; Radu, Silviu
3
2016
Relativistic Coulomb integrals and Zeilberger’s holonomic systems approach. II. Zbl 1403.68365
Koutschan, Christoph; Paule, Peter; Suslov, Sergei K.
2
2014
Relativistic Coulomb integrals and Zeilberger’s holonomic systems approach. I. Zbl 1308.81084
Paule, Peter; Suslov, Sergei K.
2
2013
The Andrews-Sellers family of partition congruences. Zbl 1300.11104
Paule, Peter; Radu, Cristian-Silviu
18
2012
MacMahon’s dream. Zbl 1242.05016
Andrews, George E.; Paule, Peter
1
2012
Numerical and symbolic scientific computing. Progress and prospects. Zbl 1234.65014
Langer, Ulrich; Paule, Peter
1
2012
The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates. Zbl 1225.00001
Kauers, Manuel; Paule, Peter
36
2011
Infinite families of strange partition congruences for broken 2-diamonds. Zbl 1218.05024
Paule, Peter; Radu, Silviu
20
2010
Converging to Gosper’s algorithm. Zbl 1173.33316
Chen, William Y. C.; Paule, Peter; Saad, Husam L.
4
2008
MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010
Andrews, George E.; Paule, Peter
40
2007
A computer proof of Moll’s log-concavity conjecture. Zbl 1126.33009
Kauers, Manuel; Paule, Peter
21
2007
MacMahon’s partition analysis. XII: Plane partitions. Zbl 1137.05008
Andrews, George E.; Paule, Peter
6
2007
Truncating binomial series with symbolic summation. Zbl 1120.05005
Paule, Peter; Schneider, Carsten
2
2007
Hypergeometric summation algorithms for high-order finite elements. Zbl 1113.65105
Bećirović, A.; Paule, P.; Pillwein, V.; Riese, A.; Schneider, C.; Schöberl, J.
3
2006
Plane partitions. VI: Stembridge’s TSPP theorem. Zbl 1066.05019
Andrews, George E.; Paule, Peter; Schneider, Carsten
13
2005
MacMahon’s partition analysis. X: Plane partitions with diagonals. Zbl 1080.11073
Andrews, G. E.; Paule, Peter; Riese, Axel
3
2004
Computer proofs of a new family of harmonic number identities. Zbl 1039.11007
Paule, Peter; Schneider, Carsten
48
2003
Wavelets with scale dependent properties. Zbl 1027.65191
Paule, Peter; Scherzer, Otmar; Schoisswohl, Armin
2
2003
Fountains, histograms, and \(q\)-identitie. Zbl 1035.68087
Paule, Peter; Prodinger, Helmut
1
2003
A computer proof of a series evaluation in terms of harmonic numbers. Zbl 1011.33003
Lyons, Russell; Paule, Peter; Riese, Axel
11
2002
The variance of the vertex degrees of randomly generated graphs. Zbl 1050.05110
Gutman, Ivan; Paule, Peter
2
2002
MacMahon’s partition analysis: The Omega package. Zbl 0979.05008
Andrews, George E.; Paule, Peter; Riese, Axel
30
2001
MacMahon’s partition analysis. V: Bijections, recursions, and magic squares. Zbl 0972.05004
Andrews, George E.; Paule, Peter; Riese, Axel; Strehl, Volker
9
2001
Lattice paths, \(q\)-multinomials and two variants of the Andrews-Gordon identities. Zbl 0993.05014
Berkovich, Alexander; Paule, Peter
9
2001
MacMahon’s partition analysis. VI: A new reduction algorithm. Zbl 1027.05005
Andrews, George E.; Paule, Peter; Riese, Axel
9
2001
MacMahon’s partition analysis. VIII: Plane partition diamonds. Zbl 0992.05017
Andrews, George E.; Paule, Peter; Riese, Axel
8
2001
Variants of the Andrews-Gordon identities. Zbl 0993.05013
Berkovich, Alexander; Paule, Peter
8
2001
The construction of orthonormal wavelets using symbolic methods and a matrix analytical approach for wavelets on the interval. Zbl 0974.42027
Chyzak, Frédéric; Paule, Peter; Scherzer, Otmar; Schoisswohl, Armin; Zimmermann, Burkhard
7
2001
MacMahon’s partition analysis. VII: Constrained compositions. Zbl 1023.05013
Andrews, George E.; Paule, Peter; Riese, Axel
7
2001
MacMahon’s partition analysis. IX: \(k\)-gon partitions. Zbl 0995.05007
Andrews, George E.; Paule, Peter; Riese, Axel
5
2001
\(q\)-Engel series expansions and Slater’s identities. Zbl 1024.11054
Andrews, George E.; Knopfmacher, Arnold; Paule, Peter; Prodinger, Helmut
5
2001
Engel expansions of \(q\)-series by computer algebra. Zbl 1055.33018
Andrews, George E.; Knopfmacher, Arnold; Paule, Peter; Zimmermann, Burkhard
1
2001
An infinite family of Engel expansions of Rogers-Ramanujan type. Zbl 0972.11068
Andrews, George E.; Knopfmacher, Arnold; Paule, Peter
10
2000
MacMahon’s partition analysis. IV: Hypergeometric multisums. Zbl 0921.05006
Andrews, George E.; Paule, Peter
6
1999
\(q\)-hypergeometric solutions of \(q\)-difference equations. Zbl 0932.33019
Abramov, Sergei A.; Paule, Peter; Petkovšek, Marko
27
1998
A Mathematica \(q\)-analogue of Zeilberger’s algorithm based on an algebraically motivated approach to \(q\)-hypergeometric telescoping. Zbl 0869.33010
Paule, Peter; Riese, Axel
46
1997
A canonical form guide to symbolic summation. Zbl 0884.68064
Paule, P.; Nemes, I.
3
1997
A classical hypergeometric proof of an important transformation formula found by J.-B. Baillon and R. E. Bruck. Zbl 0868.33003
Paule, Peter
1
1996
A Mathematica version of Zeilberger’s algorithm for proving binomial coefficient identities. Zbl 0851.68052
Paule, Peter; Schorn, Markus
53
1995
Greatest factorial factorization and symbolic summation. Zbl 0854.68047
Paule, Peter
33
1995
Short and easy computer proofs of the Rogers-Ramanujan identities and of identities of similar type. Zbl 0814.05009
Paule, Peter
16
1994
Some questions concerning computer-generated proofs of a binomial double- sum identity. Zbl 0836.05003
Andrews, George E.; Paule, Peter
7
1993
Improvement of the degree setting in Gosper’s algorithm. Zbl 0872.33001
Lisoněk, Petr; Paule, Peter; Strehl, Volker
2
1993
The concept of Bailey chains. Zbl 0978.05521
Paule, Peter
6
1987
A note on Bailey’s lemma. Zbl 0606.05006
Paule, Peter
5
1987
On identities of the Rogers-Ramanujan type. Zbl 0582.10008
Paule, Peter
22
1985
all top 5

Cited by 425 Authors

25 Schneider, Carsten
17 Chen, William Yong-Chuan
17 Paule, Peter
13 Xia, Ernest X. W.
12 Kauers, Manuel
11 Abramov, Sergeĭ Aleksandrovich
11 Andrews, George Eyre
10 Koutschan, Christoph
10 Prodinger, Helmut
10 Zeilberger, Doron
9 Chu, Wenchang
9 Radu, Cristian-Silviu
9 Wei, Chuanan
8 Pillwein, Veronika
7 Garoufalidis, Stavros
7 Gu, Nancy Shan Shan
7 Hou, Qinghu
7 Mu, Yanping
7 Sellers, James Allen
6 Kilic, Emrah
6 Koepf, Wolfram A.
6 Moll, Victor Hugo
6 Petkovšek, Marko
6 Riese, Axel
6 Xin, Guoce
5 Berkovich, Alexander
5 Guo, Victor J. W.
5 Mathieu, Pierre
5 van Hoeij, Mark
5 Yao, Olivia Xiang Mei
4 Ablinger, Jakob
4 Amdeberhan, Tewodros
4 Blümlein, Johannes
4 Chen, Shaoshi
4 Choi, Junesang
4 Cui, Su-Ping
4 Jacob, Patrick
4 Kovács, Laura Ildikó
4 Lin, Bernard L. S.
4 Neto, Antônio Francisco
4 Savage, Carla D.
4 Sills, Andrew V.
4 Singer, Michael F.
4 Uncu, Ali Kemal
4 Wang, Liuquan
4 Wang, Weiping
4 Warnaar, S. Ole
4 Zhang, Wenlong
4 Zima, Eugene V.
3 Arıkan, Talha
3 Bostan, Alin
3 Chern, Shane
3 Corteel, Sylvie
3 Ekhad, Shalosh B. (computer)
3 Hirschhorn, Michael D.
3 Huang, Hui
3 Jiménez-Pastor, Antonio
3 Knopfmacher, Arnold
3 Krattenthaler, Christian Friedrich
3 Liu, Eric H.
3 Liu, Hongmei
3 Mansour, Toufik
3 Milne, Stephen C.
3 Radu, Silviu
3 Smoot, Nicolas Allen
3 Stan, Flavia
3 Straub, Armin
3 Thanatipanonda, Thotsaporn (Aek)
3 Wang, Chun
3 Wang, Jun
3 Zeng, Jiang
3 Zhang, Zhizheng
3 Zhao, Alice Xiao Hua
3 Zimmermann, Burkhard
2 Ahmed, Zakir Hussain
2 Apagodu, Moa
2 Banderier, Cyril
2 Bartocci, Ezio
2 Baruah, Nayandeep Deka
2 Batir, Necdet
2 Beck, Matthias
2 Beuchler, Sven
2 Bronstein, Manuel Eric
2 Buchacher, Manfred
2 Buchberger, Bruno
2 Bull, Adam D.
2 Chen, Vincent Y. B.
2 Chen, Xiaojing
2 Coskun, Hasan
2 De Donno, Livia
2 Dixit, Atul
2 Drensky, Vesselin
2 Driver, Kathy A.
2 Foupouagnigni, Mama
2 Fu, Amy M.
2 Garsia, Adriano M.
2 Giesbrecht, Mark W.
2 Gilmore, Tomack
2 Gittenberger, Bernhard
2 Gong, Dianxuan
...and 325 more Authors
all top 5

Cited in 119 Serials

40 Journal of Symbolic Computation
40 The Ramanujan Journal
34 Advances in Applied Mathematics
20 Discrete Mathematics
16 Journal of Combinatorial Theory. Series A
16 Annals of Combinatorics
16 International Journal of Number Theory
13 Journal of Number Theory
11 Journal of Difference Equations and Applications
10 Journal of Mathematical Analysis and Applications
7 Bulletin of the Australian Mathematical Society
7 Integral Transforms and Special Functions
5 Programming and Computer Software
5 European Journal of Combinatorics
5 Applicable Algebra in Engineering, Communication and Computing
5 The Electronic Journal of Combinatorics
4 Journal of Mathematical Physics
4 Journal of Computational and Applied Mathematics
4 Mathematics in Computer Science
3 Discrete Applied Mathematics
3 Mathematics of Computation
3 Advances in Mathematics
3 Transactions of the American Mathematical Society
3 Turkish Journal of Mathematics
3 Séminaire Lotharingien de Combinatoire
3 Journal of Integer Sequences
3 Integers
3 Journal of Algebra and its Applications
2 Communications in Algebra
2 Linear and Multilinear Algebra
2 Nuclear Physics. B
2 Periodica Mathematica Hungarica
2 Applied Mathematics and Computation
2 Computing
2 Duke Mathematical Journal
2 Mathematische Annalen
2 Proceedings of the American Mathematical Society
2 Quaestiones Mathematicae
2 Constructive Approximation
2 SIAM Journal on Discrete Mathematics
2 Proceedings of the National Academy of Sciences of the United States of America
2 Expositiones Mathematicae
2 Experimental Mathematics
2 Journal of Algebraic Combinatorics
2 Journal of Inequalities and Applications
2 Algebraic & Geometric Topology
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Afrika Matematika
1 Analysis Mathematica
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 International Journal of Mathematical Education in Science and Technology
1 Indian Journal of Pure & Applied Mathematics
1 Journal of the Franklin Institute
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Acta Arithmetica
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Probability
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 Journal of Approximation Theory
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Mathematics of Operations Research
1 Monatshefte für Mathematik
1 Numerische Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Theoretical Computer Science
1 Journal of Complexity
1 Algorithmica
1 Journal of Economic Dynamics & Control
1 Journal of the American Mathematical Society
1 Mathematical and Computer Modelling
1 Annals of Operations Research
1 Japan Journal of Industrial and Applied Mathematics
1 Computational Mathematics and Mathematical Physics
1 Journal of Elasticity
1 SIAM Review
1 Journal of Knot Theory and its Ramifications
1 St. Petersburg Mathematical Journal
1 Transformation Groups
1 Abstract and Applied Analysis
1 Taiwanese Journal of Mathematics
1 Geometry & Topology
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of High Energy Physics
1 Lobachevskii Journal of Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Quantum Information Processing
...and 19 more Serials
all top 5

Cited in 43 Fields

221 Combinatorics (05-XX)
169 Number theory (11-XX)
155 Special functions (33-XX)
79 Computer science (68-XX)
31 Difference and functional equations (39-XX)
21 Numerical analysis (65-XX)
17 Field theory and polynomials (12-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
14 Quantum theory (81-XX)
11 Convex and discrete geometry (52-XX)
10 Commutative algebra (13-XX)
10 Ordinary differential equations (34-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Manifolds and cell complexes (57-XX)
7 Algebraic geometry (14-XX)
7 Probability theory and stochastic processes (60-XX)
5 Real functions (26-XX)
5 Sequences, series, summability (40-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Associative rings and algebras (16-XX)
4 Group theory and generalizations (20-XX)
4 Functions of a complex variable (30-XX)
4 Partial differential equations (35-XX)
4 Approximations and expansions (41-XX)
4 Operator theory (47-XX)
4 Statistics (62-XX)
3 Integral transforms, operational calculus (44-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Nonassociative rings and algebras (17-XX)
2 Measure and integration (28-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Fluid mechanics (76-XX)
2 Operations research, mathematical programming (90-XX)
2 Biology and other natural sciences (92-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year

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