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Kauers, Manuel

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 Author ID: kauers.manuel Published as: Kauers, M.; Kauers, Manuel External Links: MGP · Wikidata
 Documents Indexed: 83 Publications since 2004, including 6 Books
all top 5

Co-Authors

 13 single-authored 12 Chen, Shaoshi 8 Koutschan, Christoph 8 Schneider, Carsten 8 Zeilberger, Doron 5 Seidl, Martina 4 Bostan, Alin 4 Gerhold, Stefan 4 Paule, Peter 3 Singer, Michael F. 3 van Hoeij, Mark 2 Buchacher, Manfred 2 Chyzak, Frédéric 2 Heule, Marijn J. H. 2 Huang, Hui 2 Jaroschek, Maximilian 2 Johansson, Fredrik 2 Krattenthaler, Christian Friedrich 2 Li, Ziming 2 O’Donnell, Ryan 2 Pillwein, Veronika 2 Pogudin, Gleb A. 2 Tan, Liyang 2 Yatchak, Rika 2 Zhou, Yuan 2 Zimmermann, Burkhard 1 Alzer, Horst 1 Aparicio-Monforte, Ainhoa 1 Bacher, Axel 1 Ballarin, Clemens 1 Biere, Armin 1 Blümlein, Johannes 1 Bousquet-Mélou, Mireille 1 Davenport, James Harold 1 Drmota, Michael 1 Du, Lixin 1 Genitrini, Antoine 1 Gittenberger, Bernhard 1 Kaufmann, Daniela 1 Kerber, Manfred 1 Klein, Sebastian 1 Labahn, George 1 Lupaş, Alexandru 1 Melczer, Stephen 1 Mezzarobba, Marc 1 Miner, Robert R. 1 Müller, Thomas W. 1 Ovchinnikov, Alexey Igorevich 1 Pech, Lucien 1 Reid, Greg J. 1 Salvy, Bruno 1 Saminger-Platz, Susanne 1 Schost, Éric 1 Spiegelhofer, Lukas 1 Strehl, Volker 1 Urban, Josef 1 Verron, Thibaut 1 Wallner, Michael 1 Wang, Ronghua 1 Windsteiger, Wolfgang 1 Yen, Lily 1 Zhang, Yi
all top 5

Serials

 10 Journal of Symbolic Computation 3 The Electronic Journal of Combinatorics 2 Proceedings of the American Mathematical Society 2 Proceedings of the National Academy of Sciences of the United States of America 2 Expositiones Mathematicae 2 Séminaire Lotharingien de Combinatoire 2 Lecture Notes in Computer Science 1 Computer Physics Communications 1 Discrete Mathematics 1 Information Processing Letters 1 The Mathematical Intelligencer 1 Fuzzy Sets and Systems 1 Journal of Combinatorial Theory. Series A 1 SIGSAM Bulletin 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 SIAM Journal on Discrete Mathematics 1 Experimental Mathematics 1 Formal Methods in System Design 1 Journal of Difference Equations and Applications 1 The Ramanujan Journal 1 Annals of Combinatorics 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Journal of Systems Science and Complexity 1 International Journal of Number Theory 1 ACM Communications in Computer Algebra 1 ACM Transactions on Algorithms 1 Discrete Mathematics & Theoretical Computer Science. Proceedings 1 Discrete Analysis 1 Texts & Monographs in Symbolic Computation 1 DML. Discrete Mathematics Letters
all top 5

Fields

 54 Computer science (68-XX) 28 Combinatorics (05-XX) 26 Special functions (33-XX) 7 General and overarching topics; collections (00-XX) 7 Number theory (11-XX) 6 Field theory and polynomials (12-XX) 5 Commutative algebra (13-XX) 5 Difference and functional equations (39-XX) 3 Associative rings and algebras (16-XX) 3 Real functions (26-XX) 3 Numerical analysis (65-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX)

Citations contained in zbMATH

61 Publications have been cited 399 times in 228 Documents Cited by Year
The complete generating function for Gessel walks is algebraic. Zbl 1206.05013
Bostan, Alin; Kauers, Manuel; Van Hoeij, Mark
2010
The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates. Zbl 1225.00001
Kauers, Manuel; Paule, Peter
2011
Proof of Ira Gessel’s lattice path conjecture. Zbl 1203.05010
Kauers, Manuel; Koutschan, Christoph; Zeilberger, Doron
2009
Automatic classification of restricted lattice walks. Zbl 1391.05026
Bostan, Alin; Kauers, Manuel
2009
A computer proof of Moll’s log-concavity conjecture. Zbl 1126.33009
Kauers, Manuel; Paule, Peter
2007
Proof of George Andrews’s and David Robbins’s $$q$$-TSPP conjecture. Zbl 1255.05011
Koutschan, Christoph; Kauers, Manuel; Zeilberger, Doron
2011
On 3-dimensional lattice walks confined to the positive octant. Zbl 1354.05006
Bostan, Alin; Bousquet-Mélou, Mireille; Kauers, Manuel; Melczer, Stephen
2016
A procedure for proving special function inequalities involving a discrete parameter. Zbl 1360.68933
Gerhold, Stefan; Kauers, Manuel
2005
Hypergeometric expressions for generating functions of walks with small steps in the quarter plane. Zbl 1352.05013
Bostan, Alin; Chyzak, Frédéric; van Hoeij, Mark; Kauers, Manuel; Pech, Lucien
2017
Telescopers for rational and algebraic functions via residues. Zbl 1323.68592
Chen, Shaoshi; Kauers, Manuel; Singer, Michael F.
2012
Ore polynomials in Sage. Zbl 1439.16049
Kauers, Manuel; Jaroschek, Maximilian; Johansson, Fredrik
2015
SumCracker: A package for manipulating symbolic sums and related objects. Zbl 1122.68746
Kauers, Manuel
2006
Formal Laurent series in several variables. Zbl 1283.13018
Aparicio Monforte, Ainhoa; Kauers, Manuel
2013
Computing the algebraic relations of $$C$$-finite sequences and multisequences. Zbl 1163.11084
Kauers, Manuel; Zimmermann, Burkhard
2008
A method for determining the mod-$$2^k$$ behaviour of recursive sequences, with applications to subgroup counting. Zbl 1260.05008
Kauers, M.; Krattenthaler, C.; Müller, T. W.
2011
On Turán’s inequality for Legendre polynomials. Zbl 1155.26012
Alzer, Horst; Gerhold, Stefan; Kauers, Manuel; Lupaş, Alexandru
2007
Walks in the quarter plane with multiple steps. Zbl 1335.05012
Kauers, Manuel; Yatchak, Rika
2015
A non-holonomic systems approach to special function identities. Zbl 1237.33001
Chyzak, Frédéric; Kauers, Manuel; Salvy, Bruno
2009
Indefinite summation with unspecified summands. Zbl 1157.05006
Kauers, Manuel; Schneider, Carsten
2006
On a conjecture of Cusick concerning the sum of digits of $$n$$ and $$n+t$$. Zbl 1372.11010
Drmota, Michael; Kauers, Manuel; Spiegelhofer, Lukas
2016
Desingularization explains order-degree curves for Ore operators. Zbl 1360.68927
Chen, Shaoshi; Jaroschek, Maximilian; Kauers, Manuel; Singer, Michael F.
2013
Determining the closed forms of the anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra. Zbl 1197.81037
Blümlein, Johannes; Kauers, Manuel; Klein, Sebastian; Schneider, Carsten
2009
A Mathematica package for $$q$$-holonomic sequences and power series. Zbl 1180.33030
Kauers, Manuel; Koutschan, Christoph
2009
The quasi-holonomic ansatz and restricted lattice walks. Zbl 1193.05014
Kauers, Manuel; Zeilberger, Doron
2008
Desingularization of Ore operators. Zbl 1348.68300
Chen, Shaoshi; Kauers, Manuel; Singer, Michael F.
2016
A modified Abramov-Petkovsek reduction and creative telescoping for hypergeometric terms. Zbl 1346.68277
Chen, Shaoshi; Huang, Hui; Kauers, Manuel; Li, Ziming
2015
Order-degree curves for hypergeometric creative telescoping. Zbl 1323.68591
Chen, Shaoshi; Kauers, Manuel
2012
Trading order for degree in creative telescoping. Zbl 1241.33021
Chen, Shaoshi; Kauers, Manuel
2012
Summation algorithms for Stirling number identities. Zbl 1142.11008
Kauers, Manuel
2007
A computer proof of Turán’s inequality. Zbl 1132.26336
Gerhold, Stefan; Kauers, Manuel
2006
Apparent singularities of D-finite systems. Zbl 1427.13036
Chen, Shaoshi; Kauers, Manuel; Li, Ziming; Zhang, Yi
2019
Reduction-based creative telescoping for algebraic functions. Zbl 1360.68928
Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph
2016
When can we detect that a P-finite sequence is positive? Zbl 1321.68535
Kauers, Manuel; Pillwein, Veronika
2010
How to use cylindrical algebraic decomposition. Zbl 1246.68271
Kauers, Manuel
2010
Symbolic summation with radical expressions. Zbl 1190.68091
Kauers, Manuel; Schneider, Carsten
2007
Application of unspecified sequences in symbolic summation. Zbl 1356.68284
Kauers, Manuel; Schneider, Carsten
2006
The holonomic toolkit. Zbl 1308.81101
Kauers, Manuel
2013
Dominance in the family of Sugeno-Weber t-norms. Zbl 1250.03115
Kauers, Manuel; Pillwein, Veronika; Saminger-Platz, Susanne
2011
Partial denominator bounds for partial linear difference equations. Zbl 1321.68536
Kauers, Manuel; Schneider, Carsten
2010
Experiments with a positivity-preserving operator. Zbl 1157.05003
Kauers, Manuel; Zeilberger, Doron
2008
Some open problems related to creative telescoping. Zbl 1420.68242
Chen, Shaoshi; Kauers, Manuel
2017
Integral D-finite functions. Zbl 1345.68288
Kauers, Manuel; Koutschan, Christoph
2015
Computer algebra. Zbl 1350.68296
Kauers, Manuel
2015
A generalized Apagodu-Zeilberger algorithm. Zbl 1325.68270
Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph
2014
The computational challenge of enumerating high-dimensional rook walks. Zbl 1234.05026
Kauers, Manuel; Zeilberger, Doron
2011
Automated proofs for some Stirling number identities. Zbl 1183.68754
Kauers, Manuel; Schneider, Carsten
2008
An algorithm for deciding zero equivalence of nested polynomially recurrent sequences. Zbl 1321.68534
Kauers, Manuel
2007
Towards mechanized mathematical assistants. 14th symposium, Calculemus 2007, 6th international conference, MKM 2007, Hagenberg, Austria, June 27–30, 2007. Proceedings. Zbl 1119.68011
Kauers, Manuel (ed.); Kerber, Manfred (ed.); Miner, Robert (ed.); Windsteiger, Wolfgang (ed.)
2007
Computer proofs for polynomial identities in arbitrary many variables. Zbl 1134.68599
Kauers, Manuel
2004
Continued classification of 3D lattice models in the positive octant. Zbl 1440.05017
Bacher, Axel; Kauers, Manuel; Yatchak, Rika
2020
Asymptotic enumeration of compacted binary trees of bounded right height. Zbl 1433.05154
Genitrini, Antoine; Gittenberger, Bernhard; Kauers, Manuel; Wallner, Michael
2020
Local search for fast matrix multiplication. Zbl 1441.68225
Heule, Marijn J. H.; Kauers, Manuel; Seidl, Martina
2019
Symmetries of quantified Boolean formulas. Zbl 06916308
Kauers, Manuel; Seidl, Martina
2018
Reduction-based creative telescoping for Fuchsian D-finite functions. Zbl 1379.68363
Chen, Shaoshi; van Hoeij, Mark; Kauers, Manuel; Koutschan, Christoph
2018
Lattice walks in the octant with infinite associated groups. Zbl 1378.05008
Kauers, Manuel; Wang, Rong-Hua
2017
Hypercontractive inequalities via SOS, and the Frankl-Rödl graph. Zbl 1423.68347
Kauers, Manuel; O’Donnell, Ryan; Tan, Li-Yang; Zhou, Yuan
2016
On the length of integers in telescopers for proper hypergeometric terms. Zbl 1357.68304
Kauers, Manuel; Yen, Lily
2015
A refined denominator bounding algorithm for multivariate linear difference equations. Zbl 1323.39009
Kauers, Manuel; Schneider, Carsten
2011
Computer algebra for special function inequalities. Zbl 1183.33039
Kauers, Manuel
2008
Solving difference equations whose coefficients are not transcendental. Zbl 1158.39003
Kauers, Manuel
2008
Solving parametric linear systems: an experiment with constraint algebraic programming. Zbl 1341.68310
Ballarin, Clemens; Kauers, Manuel
2004
Continued classification of 3D lattice models in the positive octant. Zbl 1440.05017
Bacher, Axel; Kauers, Manuel; Yatchak, Rika
2020
Asymptotic enumeration of compacted binary trees of bounded right height. Zbl 1433.05154
Genitrini, Antoine; Gittenberger, Bernhard; Kauers, Manuel; Wallner, Michael
2020
Apparent singularities of D-finite systems. Zbl 1427.13036
Chen, Shaoshi; Kauers, Manuel; Li, Ziming; Zhang, Yi
2019
Local search for fast matrix multiplication. Zbl 1441.68225
Heule, Marijn J. H.; Kauers, Manuel; Seidl, Martina
2019
Symmetries of quantified Boolean formulas. Zbl 06916308
Kauers, Manuel; Seidl, Martina
2018
Reduction-based creative telescoping for Fuchsian D-finite functions. Zbl 1379.68363
Chen, Shaoshi; van Hoeij, Mark; Kauers, Manuel; Koutschan, Christoph
2018
Hypergeometric expressions for generating functions of walks with small steps in the quarter plane. Zbl 1352.05013
Bostan, Alin; Chyzak, Frédéric; van Hoeij, Mark; Kauers, Manuel; Pech, Lucien
2017
Some open problems related to creative telescoping. Zbl 1420.68242
Chen, Shaoshi; Kauers, Manuel
2017
Lattice walks in the octant with infinite associated groups. Zbl 1378.05008
Kauers, Manuel; Wang, Rong-Hua
2017
On 3-dimensional lattice walks confined to the positive octant. Zbl 1354.05006
Bostan, Alin; Bousquet-Mélou, Mireille; Kauers, Manuel; Melczer, Stephen
2016
On a conjecture of Cusick concerning the sum of digits of $$n$$ and $$n+t$$. Zbl 1372.11010
Drmota, Michael; Kauers, Manuel; Spiegelhofer, Lukas
2016
Desingularization of Ore operators. Zbl 1348.68300
Chen, Shaoshi; Kauers, Manuel; Singer, Michael F.
2016
Reduction-based creative telescoping for algebraic functions. Zbl 1360.68928
Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph
2016
Hypercontractive inequalities via SOS, and the Frankl-Rödl graph. Zbl 1423.68347
Kauers, Manuel; O’Donnell, Ryan; Tan, Li-Yang; Zhou, Yuan
2016
Ore polynomials in Sage. Zbl 1439.16049
Kauers, Manuel; Jaroschek, Maximilian; Johansson, Fredrik
2015
Walks in the quarter plane with multiple steps. Zbl 1335.05012
Kauers, Manuel; Yatchak, Rika
2015
A modified Abramov-Petkovsek reduction and creative telescoping for hypergeometric terms. Zbl 1346.68277
Chen, Shaoshi; Huang, Hui; Kauers, Manuel; Li, Ziming
2015
Integral D-finite functions. Zbl 1345.68288
Kauers, Manuel; Koutschan, Christoph
2015
Computer algebra. Zbl 1350.68296
Kauers, Manuel
2015
On the length of integers in telescopers for proper hypergeometric terms. Zbl 1357.68304
Kauers, Manuel; Yen, Lily
2015
A generalized Apagodu-Zeilberger algorithm. Zbl 1325.68270
Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph
2014
Formal Laurent series in several variables. Zbl 1283.13018
Aparicio Monforte, Ainhoa; Kauers, Manuel
2013
Desingularization explains order-degree curves for Ore operators. Zbl 1360.68927
Chen, Shaoshi; Jaroschek, Maximilian; Kauers, Manuel; Singer, Michael F.
2013
The holonomic toolkit. Zbl 1308.81101
Kauers, Manuel
2013
Telescopers for rational and algebraic functions via residues. Zbl 1323.68592
Chen, Shaoshi; Kauers, Manuel; Singer, Michael F.
2012
Order-degree curves for hypergeometric creative telescoping. Zbl 1323.68591
Chen, Shaoshi; Kauers, Manuel
2012
Trading order for degree in creative telescoping. Zbl 1241.33021
Chen, Shaoshi; Kauers, Manuel
2012
The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates. Zbl 1225.00001
Kauers, Manuel; Paule, Peter
2011
Proof of George Andrews’s and David Robbins’s $$q$$-TSPP conjecture. Zbl 1255.05011
Koutschan, Christoph; Kauers, Manuel; Zeilberger, Doron
2011
A method for determining the mod-$$2^k$$ behaviour of recursive sequences, with applications to subgroup counting. Zbl 1260.05008
Kauers, M.; Krattenthaler, C.; Müller, T. W.
2011
Dominance in the family of Sugeno-Weber t-norms. Zbl 1250.03115
Kauers, Manuel; Pillwein, Veronika; Saminger-Platz, Susanne
2011
The computational challenge of enumerating high-dimensional rook walks. Zbl 1234.05026
Kauers, Manuel; Zeilberger, Doron
2011
A refined denominator bounding algorithm for multivariate linear difference equations. Zbl 1323.39009
Kauers, Manuel; Schneider, Carsten
2011
The complete generating function for Gessel walks is algebraic. Zbl 1206.05013
Bostan, Alin; Kauers, Manuel; Van Hoeij, Mark
2010
When can we detect that a P-finite sequence is positive? Zbl 1321.68535
Kauers, Manuel; Pillwein, Veronika
2010
How to use cylindrical algebraic decomposition. Zbl 1246.68271
Kauers, Manuel
2010
Partial denominator bounds for partial linear difference equations. Zbl 1321.68536
Kauers, Manuel; Schneider, Carsten
2010
Proof of Ira Gessel’s lattice path conjecture. Zbl 1203.05010
Kauers, Manuel; Koutschan, Christoph; Zeilberger, Doron
2009
Automatic classification of restricted lattice walks. Zbl 1391.05026
Bostan, Alin; Kauers, Manuel
2009
A non-holonomic systems approach to special function identities. Zbl 1237.33001
Chyzak, Frédéric; Kauers, Manuel; Salvy, Bruno
2009
Determining the closed forms of the anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra. Zbl 1197.81037
Blümlein, Johannes; Kauers, Manuel; Klein, Sebastian; Schneider, Carsten
2009
A Mathematica package for $$q$$-holonomic sequences and power series. Zbl 1180.33030
Kauers, Manuel; Koutschan, Christoph
2009
Computing the algebraic relations of $$C$$-finite sequences and multisequences. Zbl 1163.11084
Kauers, Manuel; Zimmermann, Burkhard
2008
The quasi-holonomic ansatz and restricted lattice walks. Zbl 1193.05014
Kauers, Manuel; Zeilberger, Doron
2008
Experiments with a positivity-preserving operator. Zbl 1157.05003
Kauers, Manuel; Zeilberger, Doron
2008
Automated proofs for some Stirling number identities. Zbl 1183.68754
Kauers, Manuel; Schneider, Carsten
2008
Computer algebra for special function inequalities. Zbl 1183.33039
Kauers, Manuel
2008
Solving difference equations whose coefficients are not transcendental. Zbl 1158.39003
Kauers, Manuel
2008
A computer proof of Moll’s log-concavity conjecture. Zbl 1126.33009
Kauers, Manuel; Paule, Peter
2007
On Turán’s inequality for Legendre polynomials. Zbl 1155.26012
Alzer, Horst; Gerhold, Stefan; Kauers, Manuel; Lupaş, Alexandru
2007
Summation algorithms for Stirling number identities. Zbl 1142.11008
Kauers, Manuel
2007
Symbolic summation with radical expressions. Zbl 1190.68091
Kauers, Manuel; Schneider, Carsten
2007
An algorithm for deciding zero equivalence of nested polynomially recurrent sequences. Zbl 1321.68534
Kauers, Manuel
2007
Towards mechanized mathematical assistants. 14th symposium, Calculemus 2007, 6th international conference, MKM 2007, Hagenberg, Austria, June 27–30, 2007. Proceedings. Zbl 1119.68011
Kauers, Manuel (ed.); Kerber, Manfred (ed.); Miner, Robert (ed.); Windsteiger, Wolfgang (ed.)
2007
SumCracker: A package for manipulating symbolic sums and related objects. Zbl 1122.68746
Kauers, Manuel
2006
Indefinite summation with unspecified summands. Zbl 1157.05006
Kauers, Manuel; Schneider, Carsten
2006
A computer proof of Turán’s inequality. Zbl 1132.26336
Gerhold, Stefan; Kauers, Manuel
2006
Application of unspecified sequences in symbolic summation. Zbl 1356.68284
Kauers, Manuel; Schneider, Carsten
2006
A procedure for proving special function inequalities involving a discrete parameter. Zbl 1360.68933
Gerhold, Stefan; Kauers, Manuel
2005
Computer proofs for polynomial identities in arbitrary many variables. Zbl 1134.68599
Kauers, Manuel
2004
Solving parametric linear systems: an experiment with constraint algebraic programming. Zbl 1341.68310
Ballarin, Clemens; Kauers, Manuel
2004
all top 5

Cited by 268 Authors

 25 Kauers, Manuel 11 Koutschan, Christoph 11 Raschel, Kilian 10 Chen, Shaoshi 10 Pillwein, Veronika 10 Schneider, Carsten 8 Chen, William Yong-Chuan 8 Ciucu, Mihai 8 Zeilberger, Doron 7 Krattenthaler, Christian Friedrich 7 Mishna, Marni 7 Spiegelhofer, Lukas 6 Blümlein, Johannes 6 Bostan, Alin 6 Singer, Michael F. 5 Melczer, Stephen 5 Müller, Thomas W. 5 van Hoeij, Mark 5 Wallner, Michael 5 Zhang, Yi 4 Banderier, Cyril 4 Baricz, Árpád 4 Bousquet-Mélou, Mireille 4 Kurkova, Irina A. 4 Moll, Victor Hugo 4 Thanatipanonda, Thotsaporn (Aek) 3 Feng, Ruyong 3 Hardouin, Charlotte 3 Jaroschek, Maximilian 3 Jiménez-Pastor, Antonio 3 Li, Ziming 3 Paramonov, Serge V. 3 Salvy, Bruno 3 Straub, Armin 2 Ablinger, Jakob 2 Abramov, Sergeĭ Aleksandrovich 2 Alzer, Horst 2 Amdeberhan, Tewodros 2 Arreche, Carlos E. 2 Barkatou, Moulay A. 2 Beaton, Nicholas R. 2 Bentkowska (Dudziak), Urszula 2 Beuchler, Sven 2 Carette, Jacques 2 Chern, Shane 2 Chyzak, Frédéric 2 Dixit, Atul 2 Dreyfus, Thomas 2 Drmota, Michael 2 Gao, Xiaoshan 2 Gerhold, Stefan 2 Gittenberger, Bernhard 2 Gu, Cindy C. Y. 2 Hauser, Herwig 2 Imamoglu, Erdal 2 Jiu, Lin 2 Król, Anna 2 Lai, Tri 2 Maillard, Jean-Marie 2 Owczarek, Aleksander L. 2 Pang, Sabrina X. M. 2 Price, Andrew Elvey 2 Qu, Ellen X. Y. 2 Raab, Clemens G. 2 Radu, Cristian-Silviu 2 Roques, Julien 2 Rowland, Eric S. 2 Seidl, Martina 2 Trotignon, Amélie 2 Vo, Thieu N. 2 Wang, Ronghua 2 Xia, Ernest X. W. 2 Yao, Yukun 2 Yassawi, Reem 1 Abdelaziz, Y. 1 Albert, Michael Henry 1 Alonso, Mariemi E. 1 Apagodu, Moa 1 Aparicio-Monforte, Ainhoa 1 Arias García, José De Jesús 1 Arnold, John M. 1 Asinowski, Andrei 1 Bacher, Axel 1 Bailey, David Harold 1 Bartocci, Ezio 1 Berg, Christian 1 Berkovich, Alexander 1 Berthomieu, Jérémy 1 Bogoşel, Beniamin 1 Borwein, Jonathan Michael 1 Boukraa, Salah 1 Brändén, Petter 1 Breuer, Felix 1 Broadhurst, David John 1 Buchacher, Manfred 1 Buchberger, Bruno 1 Budd, Timothy G. 1 Cao, Huiqin 1 Castro-Jiménez, Francisco Jesús 1 Cha, Yongjae ...and 168 more Authors
all top 5

Cited in 85 Serials

 32 Journal of Symbolic Computation 18 Advances in Applied Mathematics 15 Journal of Combinatorial Theory. Series A 8 The Electronic Journal of Combinatorics 8 Annals of Combinatorics 6 Discrete Mathematics 5 Proceedings of the American Mathematical Society 4 Journal of Number Theory 4 Programming and Computer Software 4 SIAM Journal on Discrete Mathematics 4 Expositiones Mathematicae 4 The Ramanujan Journal 4 Journal of Systems Science and Complexity 3 Mathematics of Computation 3 Transactions of the American Mathematical Society 3 European Journal of Combinatorics 3 Séminaire Lotharingien de Combinatoire 3 Journal of Integer Sequences 2 Journal of Mathematical Physics 2 Advances in Mathematics 2 Fuzzy Sets and Systems 2 Journal of Algebra 2 Journal of Approximation Theory 2 Theoretical Computer Science 2 Algorithmica 2 Proceedings of the National Academy of Sciences of the United States of America 2 Combinatorics, Probability and Computing 2 Journal of Difference Equations and Applications 2 Integers 2 Foundations of Computational Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 ACM Communications in Computer Algebra 1 Modern Physics Letters A 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 Acta Mathematica 1 The Annals of Probability 1 Canadian Journal of Mathematics 1 Computing 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Multivariate Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Science of Computer Programming 1 Acta Mathematica Hungarica 1 Probability Theory and Related Fields 1 Constructive Approximation 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Global Optimization 1 Aequationes Mathematicae 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Applicable Algebra in Engineering, Communication and Computing 1 SIAM Journal on Scientific Computing 1 Journal de Théorie des Nombres de Bordeaux 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 Turkish Journal of Mathematics 1 Selecta Mathematica. New Series 1 Bernoulli 1 Mathematical Problems in Engineering 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Inequalities and Applications 1 Journal of the European Mathematical Society (JEMS) 1 Journal of High Energy Physics 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 International Journal of Number Theory 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Mathematics in Computer Science 1 Discrete Mathematics, Algorithms and Applications 1 Moscow Journal of Combinatorics and Number Theory 1 Dependence Modeling 1 Annales Henri Lebesgue
all top 5

Cited in 42 Fields

 97 Combinatorics (05-XX) 67 Computer science (68-XX) 61 Special functions (33-XX) 39 Number theory (11-XX) 17 Difference and functional equations (39-XX) 17 Probability theory and stochastic processes (60-XX) 16 Field theory and polynomials (12-XX) 15 Numerical analysis (65-XX) 13 Ordinary differential equations (34-XX) 12 Functions of a complex variable (30-XX) 11 Real functions (26-XX) 9 Commutative algebra (13-XX) 7 Group theory and generalizations (20-XX) 7 Partial differential equations (35-XX) 7 Convex and discrete geometry (52-XX) 7 Quantum theory (81-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Associative rings and algebras (16-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Mathematical logic and foundations (03-XX) 4 Algebraic geometry (14-XX) 3 Statistics (62-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

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