# zbMATH — the first resource for mathematics

## Schneider, Carsten

Compute Distance To:
 Author ID: schneider.carsten Published as: Schneider, Carsten; Schneider, C. Homepage: https://www3.risc.jku.at/people/cschneid/ External Links: MGP · ORCID · Wikidata · arXiv · ResearchGate · dblp
 Documents Indexed: 87 Publications since 1999, including 4 Books Reviewing Activity: 40 Reviews
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#### Co-Authors

 22 single-authored 36 Blümlein, Johannes 21 Ablinger, Jakob 16 De Freitas, Abilio 10 Von Manteuffel, Andreas 8 Behring, A. 8 Kauers, Manuel 8 Klein, Sebastian 8 Schönwald, K. 6 Hasselhuhn, Alexander 6 Wißbrock, Fabian 5 Paule, Peter 4 Marquard, Peter 4 Prodinger, Helmut 4 Round, Mark 3 Goedicke, A. 3 Middeke, Johannes 3 Raab, Clemens G. 2 Driver, Kathy A. 2 Gerhold, Stefan 2 Ocansey, Evans Doe 2 Pillwein, Veronika 2 Saragnese, M. 2 Stan, Flavia 2 Weideman, J. André C. 2 Zimmermann, Burkhard 1 Abramov, Sergeĭ Aleksandrovich 1 Andrews, George Eyre 1 Bećirović, A. 1 Bierenbaum, Isabella 1 Bronstein, Manuel Eric 1 Glebsky, Lev Yu. 1 Imamoglu, Erdal 1 Koutschan, Christoph 1 Krattenthaler, Christian Friedrich 1 Kuba, Markus F. 1 Maier, Andreas 1 Osburn, Robert 1 Pemantle, Robin 1 Petkovšek, Marko 1 Radu, Cristian-Silviu 1 Riese, Axel 1 Schöberl, Joachim 1 Sulzgruber, Robin 1 van Hoeij, Mark 1 Wagner, Stephan G. 1 Weiss, Howard 1 Zima, Eugene V.
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#### Serials

 22 Nuclear Physics. B 5 Journal of Symbolic Computation 4 Journal of Mathematical Physics 4 ACM Communications in Computer Algebra 3 Advances in Applied Mathematics 3 The Electronic Journal of Combinatorics 3 Annals of Combinatorics 2 Computer Physics Communications 2 Physics Letters. B 2 Applicable Algebra in Engineering, Communication and Computing 2 Séminaire Lotharingien de Combinatoire 2 The Ramanujan Journal 2 Integers 2 Texts & Monographs in Symbolic Computation 1 International Journal of Modern Physics A 1 American Mathematical Monthly 1 Discrete Mathematics 1 Mathematics of Computation 1 Computing 1 Programming and Computer Software 1 European Journal of Combinatorics 1 Journal of Difference Equations and Applications 1 Analele Universităţii din Timişoara. Seria Matematică-Informatică 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Algebra and its Applications 1 Springer Proceedings in Mathematics & Statistics
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#### Fields

 37 Special functions (33-XX) 37 Computer science (68-XX) 36 Quantum theory (81-XX) 18 Field theory and polynomials (12-XX) 16 Number theory (11-XX) 11 Combinatorics (05-XX) 9 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Partial differential equations (35-XX) 2 Relativity and gravitational theory (83-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

72 Publications have been cited 627 times in 270 Documents Cited by Year
Symbolic summation assists combinatorics. Zbl 1188.05001
Schneider, Carsten
2006
Computer proofs of a new family of harmonic number identities. Zbl 1039.11007
Paule, Peter; Schneider, Carsten
2003
Harmonic sums and polylogarithms generated by cyclotomic polynomials. Zbl 1272.81127
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
2011
Gaussian hypergeometric series and supercongruences. Zbl 1209.11049
Osburn, Robert; Schneider, Carsten
2009
Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. Zbl 1295.81071
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
2013
Solving parameterized linear difference equations in terms of indefinite nested sums and products. Zbl 1087.33011
Schneider, Carsten
2005
The summation package Sigma: underlying principles and a rhombus tiling application. Zbl 1066.68164
Schneider, Carsten
2004
Product representations in $$\Pi\Sigma$$-fields. Zbl 1123.33021
Schneider, Carsten
2005
Simplifying multiple sums in difference fields. Zbl 1315.68294
Schneider, Carsten
2013
A refined difference field theory for symbolic summation. Zbl 1147.33006
Schneider, Carsten
2008
Calculating three loop ladder and $$V$$-topologies for massive operator matrix elements by computer algebra. Zbl 1348.81034
Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.
2016
A new Sigma approach to multi-summation. Zbl 1078.33021
Schneider, Carsten
2005
Parameterized telescoping proves algebraic independence of sums. Zbl 1232.33034
Schneider, Carsten
2010
Plane partitions. VI: Stembridge’s TSPP theorem. Zbl 1066.05019
Andrews, George E.; Paule, Peter; Schneider, Carsten
2005
Padé approximations to the logarithm. III: Alternative methods and additional results. Zbl 1108.41011
Driver, Kathy; Prodinger, Helmut; Schneider, Carsten; Weideman, J. A. C.
2006
Degree bounds to find polynomial solutions of parameterized linear difference equations in $$\Pi\Sigma$$-fields. Zbl 1101.39001
Schneider, Carsten
2005
Iterated elliptic and hypergeometric integrals for Feynman diagrams. Zbl 1394.81164
Ablinger, J.; Blümlein, J.; De Freitas, A.; van Hoeij, M.; Imamoglu, E.; Raab, C. G.; Radu, C.-S.; Schneider, C.
2018
Iterated binomial sums and their associated iterated integrals. Zbl 1306.81141
Ablinger, J.; Blümlein, J.; Raab, C. G.; Schneider, C.
2014
Symbolic summation with single-nested sum extensions. Zbl 1134.33329
Schneider, Carsten
2004
Indefinite summation with unspecified summands. Zbl 1157.05006
Kauers, Manuel; Schneider, Carsten
2006
Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation. Zbl 1102.41015
Driver, Kathy; Prodinger, Helmut; Schneider, Carsten; Weideman, J. A. C.
2006
A symbolic summation approach to find optimal nested sum representations. Zbl 1225.33031
Schneider, Carsten
2010
Simplifying sums in $$\Pi \Sigma^{*}$$-extensions. Zbl 1120.33023
Schneider, Carsten
2007
The $$O(\alpha_s^3)$$ massive operator matrix elements of $$O(n_f)$$ for the structure function $$F_{2}(x,Q^{2})$$ and transversity. Zbl 1207.81160
Ablinger, J.; Blümlein, J.; Klein, S.; Schneider, C.; Wißbrock, F.
2011
Finding telescopers with minimal depth for indefinite nested sum and product expressions. Zbl 1360.68953
Schneider, Carsten
2005
Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms. Zbl 1323.81097
Ablinger, Jakob; Blümlein, Johannes; Raab, Clemens; Schneider, Carsten; Wißbrock, Fabian
2014
Massive 3-loop ladder diagrams for quarkonic local operator matrix elements. Zbl 1262.81184
Ablinger, Jakob; Blümlein, Johannes; Hasselhuhn, Alexander; Klein, Sebastian; Schneider, Carsten; Wißbrock, Fabian
2012
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
From momentum expansions to post-Minkowskian Hamiltonians by computer algebra algorithms. Zbl 1435.83039
Blümlein, J.; Maier, A.; Marquard, P.; Schäfer, G.; Schneider, C.
2020
Structural theorems for symbolic summation. Zbl 1191.68891
Schneider, Carsten
2010
A difference ring theory for symbolic summation. Zbl 1328.12015
Schneider, Carsten
2016
The three-loop splitting functions $$P_{q g}^{(2)}$$ and $$P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}$$. Zbl 1373.81370
Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.
2017
The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function $$\mathrm{F}_2(\mathrm{x, Q}^{\mathrm{2}})$$ and transversity. Zbl 1325.81168
Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C.; Wißbrock, F.
2014
The 3-loop pure singlet heavy flavor contributions to the structure function $$F_2(x, Q^2)$$ and the anomalous dimension. Zbl 1326.81234
Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.
2015
A collection of denominator bounds to solve parameterized linear difference equations in $$\Pi\Sigma$$-extensions. Zbl 1112.68139
Schneider, Carsten
2004
Two-loop massive operator matrix elements for unpolarized heavy flavor production to $$O(\epsilon)$$. Zbl 1190.81133
Bierenbaum, Isabella; Blümlein, Johannes; Klein, Sebastian; Schneider, Carsten
2008
An implementation of Karr’s summation algorithm in Mathematica. Zbl 0941.68162
Schneider, Carsten
1999
Fast algorithms for refined parameterized telescoping in difference fields. Zbl 1434.39004
Schneider, Carsten
2015
A symbolic summation approach to Feynman integral calculus. Zbl 1242.81005
Blümlein, Johannes; Klein, Sebastian; Schneider, Carsten; Stan, Flavia
2012
Symbolic summation with radical expressions. Zbl 1190.68091
Kauers, Manuel; Schneider, Carsten
2007
Summation theory. II: Characterizations of $$R {\Pi}{\Sigma}^{\ast}$$-extensions and algorithmic aspects. Zbl 1403.12002
Schneider, Carsten
2017
The $$O(\alpha_s^3 T_F^2)$$ contributions to the gluonic operator matrix element. Zbl 1323.81126
Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C.
2014
Application of unspecified sequences in symbolic summation. Zbl 1356.68284
Kauers, Manuel; Schneider, Carsten
2006
Apéry’s double sum is plain sailing indeed. Zbl 1171.68052
Schneider, Carsten
2007
The $$O(\alpha_s^3n_fT_F^2C_{A, F})$$ contributions to the gluonic massive operator matrix elements. Zbl 1262.81190
Blümlein, Johannes; Hasselhuhn, Alexander; Klein, Sebastian; Schneider, Carsten
2013
Analytic computing methods for precision calculations in quantum field theory. Zbl 1392.81192
Blümlein, Johannes; Schneider, Carsten
2018
The two-mass contribution to the three-loop gluonic operator matrix element $$A_{g g, Q}^{(3)}$$. Zbl 1391.81202
Ablinger, J.; Blümlein, J.; De Freitas, A.; Goedicke, A.; Schneider, C.; Schönwald, K.
2018
The two-mass contribution to the three-loop pure singlet operator matrix element. Zbl 1380.81433
Ablinger, J.; Blümlein, J.; De Freitas, A.; Schneider, C.; Schönwald, K.
2018
Automated solution of first order factorizable systems of differential equations in one variable. Zbl 1409.81080
Ablinger, J.; Blümlein, J.; Marquard, P.; Rana, N.; Schneider, C.
2019
The transition matrix element $$A_{gq}(N)$$ of the variable flavor number scheme at $$O({\alpha}_s^3)$$. Zbl 1285.81065
Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C.; Wißbrock, F.
2014
Partial denominator bounds for partial linear difference equations. Zbl 1321.68536
Kauers, Manuel; Schneider, Carsten
2010
Symbolic summation in difference rings and applications. Zbl 1360.68954
Schneider, Carsten
2016
Hypergeometric summation algorithms for high-order finite elements. Zbl 1113.65105
Bećirović, A.; Paule, P.; Pillwein, V.; Riese, A.; Schneider, C.; Schöberl, J.
2006
Unfair permutations. Zbl 1231.05003
Prodinger, Helmut; Schneider, Carsten; Wagner, Stephan
2011
When is $$0.999\dots$$ equal to 1. Zbl 1226.11134
Pemantle, Robin; Schneider, Carsten
2007
Refined holonomic summation algorithms in particle physics. Zbl 1457.40001
Blümlein, Johannes; Round, Mark; Schneider, Carsten
2018
Representing $$(q-)$$hypergeometric products and mixed versions in difference rings. Zbl 1405.33029
Ocansey, Evans Doe; Schneider, Carsten
2018
Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses. Zbl 1370.81170
Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; Schneider, C.; Wißbrock, F.
2017
Truncating binomial series with symbolic summation. Zbl 1120.05005
Paule, Peter; Schneider, Carsten
2007
Computing the complexity for Schelling segregation models. Zbl 1221.37185
Gerhold, Stefan; Glebsky, Lev; Schneider, Carsten; Weiss, Howard; Zimmermann, Burkhard
2008
Automated proofs for some Stirling number identities. Zbl 1183.68754
Kauers, Manuel; Schneider, Carsten
2008
Generalized reciprocity laws for sums of harmonic numbers. Zbl 1202.68492
Kuba, Markus; Prodinger, Helmut; Schneider, Carsten
2008
Algebraic independence of sequences generated by (cyclotomic) harmonic sums. Zbl 1444.11153
Ablinger, Jakob; Schneider, Carsten
2018
The polarized three-loop anomalous dimensions from on-shell massive operator matrix elements. Zbl 07209994
Behring, A.; Blümlein, J.; De Freitas, A.; Goedicke, A.; Klein, S.; von Manteuffel, A.; Schneider, C.; Schönwald, K.
2019
The heavy fermion contributions to the massive three loop form factors. Zbl 1448.81470
Blümlein, J.; Marquard, P.; Rana, N.; Schneider, C.
2019
Denominator bounds for systems of recurrence equations using $$\Pi\Sigma$$-extensions. Zbl 1406.39010
Middeke, Johannes; Schneider, Carsten
2018
Asymptotic and exact results on the complexity of the Novelli-Pak-Stoyanovskii algorithm. Zbl 1366.05119
Schneider, Carsten; Sulzgruber, Robin
2017
Representation of hypergeometric products in difference rings. Zbl 1365.12004
Ocansey, Evans Doe; Schneider, Carsten
2016
The method of arbitrarily large moments to calculate single scale processes in quantum field theory. Zbl 1372.81146
Blümlein, Johannes; Schneider, Carsten
2017
Computer algebra in quantum field theory. Integration, summation and special functions. Zbl 1276.81004
Schneider, Carsten (ed.); Blümlein, Johannes (ed.)
2013
A refined denominator bounding algorithm for multivariate linear difference equations. Zbl 1323.39009
Kauers, Manuel; Schneider, Carsten
2011
Minimal representations and algebraic relations for single nested products. Zbl 07288807
Schneider, Carsten
2020
From momentum expansions to post-Minkowskian Hamiltonians by computer algebra algorithms. Zbl 1435.83039
Blümlein, J.; Maier, A.; Marquard, P.; Schäfer, G.; Schneider, C.
2020
Minimal representations and algebraic relations for single nested products. Zbl 07288807
Schneider, Carsten
2020
Automated solution of first order factorizable systems of differential equations in one variable. Zbl 1409.81080
Ablinger, J.; Blümlein, J.; Marquard, P.; Rana, N.; Schneider, C.
2019
The polarized three-loop anomalous dimensions from on-shell massive operator matrix elements. Zbl 07209994
Behring, A.; Blümlein, J.; De Freitas, A.; Goedicke, A.; Klein, S.; von Manteuffel, A.; Schneider, C.; Schönwald, K.
2019
The heavy fermion contributions to the massive three loop form factors. Zbl 1448.81470
Blümlein, J.; Marquard, P.; Rana, N.; Schneider, C.
2019
Iterated elliptic and hypergeometric integrals for Feynman diagrams. Zbl 1394.81164
Ablinger, J.; Blümlein, J.; De Freitas, A.; van Hoeij, M.; Imamoglu, E.; Raab, C. G.; Radu, C.-S.; Schneider, C.
2018
Analytic computing methods for precision calculations in quantum field theory. Zbl 1392.81192
Blümlein, Johannes; Schneider, Carsten
2018
The two-mass contribution to the three-loop gluonic operator matrix element $$A_{g g, Q}^{(3)}$$. Zbl 1391.81202
Ablinger, J.; Blümlein, J.; De Freitas, A.; Goedicke, A.; Schneider, C.; Schönwald, K.
2018
The two-mass contribution to the three-loop pure singlet operator matrix element. Zbl 1380.81433
Ablinger, J.; Blümlein, J.; De Freitas, A.; Schneider, C.; Schönwald, K.
2018
Refined holonomic summation algorithms in particle physics. Zbl 1457.40001
Blümlein, Johannes; Round, Mark; Schneider, Carsten
2018
Representing $$(q-)$$hypergeometric products and mixed versions in difference rings. Zbl 1405.33029
Ocansey, Evans Doe; Schneider, Carsten
2018
Algebraic independence of sequences generated by (cyclotomic) harmonic sums. Zbl 1444.11153
Ablinger, Jakob; Schneider, Carsten
2018
Denominator bounds for systems of recurrence equations using $$\Pi\Sigma$$-extensions. Zbl 1406.39010
Middeke, Johannes; Schneider, Carsten
2018
The three-loop splitting functions $$P_{q g}^{(2)}$$ and $$P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}$$. Zbl 1373.81370
Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.
2017
Summation theory. II: Characterizations of $$R {\Pi}{\Sigma}^{\ast}$$-extensions and algorithmic aspects. Zbl 1403.12002
Schneider, Carsten
2017
Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses. Zbl 1370.81170
Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; Schneider, C.; Wißbrock, F.
2017
Asymptotic and exact results on the complexity of the Novelli-Pak-Stoyanovskii algorithm. Zbl 1366.05119
Schneider, Carsten; Sulzgruber, Robin
2017
The method of arbitrarily large moments to calculate single scale processes in quantum field theory. Zbl 1372.81146
Blümlein, Johannes; Schneider, Carsten
2017
Calculating three loop ladder and $$V$$-topologies for massive operator matrix elements by computer algebra. Zbl 1348.81034
Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.
2016
A difference ring theory for symbolic summation. Zbl 1328.12015
Schneider, Carsten
2016
Symbolic summation in difference rings and applications. Zbl 1360.68954
Schneider, Carsten
2016
Representation of hypergeometric products in difference rings. Zbl 1365.12004
Ocansey, Evans Doe; Schneider, Carsten
2016
The 3-loop pure singlet heavy flavor contributions to the structure function $$F_2(x, Q^2)$$ and the anomalous dimension. Zbl 1326.81234
Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.
2015
Fast algorithms for refined parameterized telescoping in difference fields. Zbl 1434.39004
Schneider, Carsten
2015
Iterated binomial sums and their associated iterated integrals. Zbl 1306.81141
Ablinger, J.; Blümlein, J.; Raab, C. G.; Schneider, C.
2014
Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms. Zbl 1323.81097
Ablinger, Jakob; Blümlein, Johannes; Raab, Clemens; Schneider, Carsten; Wißbrock, Fabian
2014
The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function $$\mathrm{F}_2(\mathrm{x, Q}^{\mathrm{2}})$$ and transversity. Zbl 1325.81168
Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C.; Wißbrock, F.
2014
The $$O(\alpha_s^3 T_F^2)$$ contributions to the gluonic operator matrix element. Zbl 1323.81126
Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C.
2014
The transition matrix element $$A_{gq}(N)$$ of the variable flavor number scheme at $$O({\alpha}_s^3)$$. Zbl 1285.81065
Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C.; Wißbrock, F.
2014
Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. Zbl 1295.81071
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
2013
Simplifying multiple sums in difference fields. Zbl 1315.68294
Schneider, Carsten
2013
The $$O(\alpha_s^3n_fT_F^2C_{A, F})$$ contributions to the gluonic massive operator matrix elements. Zbl 1262.81190
Blümlein, Johannes; Hasselhuhn, Alexander; Klein, Sebastian; Schneider, Carsten
2013
Computer algebra in quantum field theory. Integration, summation and special functions. Zbl 1276.81004
Schneider, Carsten; Blümlein, Johannes
2013
Massive 3-loop ladder diagrams for quarkonic local operator matrix elements. Zbl 1262.81184
Ablinger, Jakob; Blümlein, Johannes; Hasselhuhn, Alexander; Klein, Sebastian; Schneider, Carsten; Wißbrock, Fabian
2012
A symbolic summation approach to Feynman integral calculus. Zbl 1242.81005
Blümlein, Johannes; Klein, Sebastian; Schneider, Carsten; Stan, Flavia
2012
Harmonic sums and polylogarithms generated by cyclotomic polynomials. Zbl 1272.81127
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
2011
The $$O(\alpha_s^3)$$ massive operator matrix elements of $$O(n_f)$$ for the structure function $$F_{2}(x,Q^{2})$$ and transversity. Zbl 1207.81160
Ablinger, J.; Blümlein, J.; Klein, S.; Schneider, C.; Wißbrock, F.
2011
Unfair permutations. Zbl 1231.05003
Prodinger, Helmut; Schneider, Carsten; Wagner, Stephan
2011
A refined denominator bounding algorithm for multivariate linear difference equations. Zbl 1323.39009
Kauers, Manuel; Schneider, Carsten
2011
Parameterized telescoping proves algebraic independence of sums. Zbl 1232.33034
Schneider, Carsten
2010
A symbolic summation approach to find optimal nested sum representations. Zbl 1225.33031
Schneider, Carsten
2010
Structural theorems for symbolic summation. Zbl 1191.68891
Schneider, Carsten
2010
Partial denominator bounds for partial linear difference equations. Zbl 1321.68536
Kauers, Manuel; Schneider, Carsten
2010
Gaussian hypergeometric series and supercongruences. Zbl 1209.11049
Osburn, Robert; Schneider, Carsten
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 refined difference field theory for symbolic summation. Zbl 1147.33006
Schneider, Carsten
2008
Two-loop massive operator matrix elements for unpolarized heavy flavor production to $$O(\epsilon)$$. Zbl 1190.81133
Bierenbaum, Isabella; Blümlein, Johannes; Klein, Sebastian; Schneider, Carsten
2008
Computing the complexity for Schelling segregation models. Zbl 1221.37185
Gerhold, Stefan; Glebsky, Lev; Schneider, Carsten; Weiss, Howard; Zimmermann, Burkhard
2008
Automated proofs for some Stirling number identities. Zbl 1183.68754
Kauers, Manuel; Schneider, Carsten
2008
Generalized reciprocity laws for sums of harmonic numbers. Zbl 1202.68492
Kuba, Markus; Prodinger, Helmut; Schneider, Carsten
2008
Simplifying sums in $$\Pi \Sigma^{*}$$-extensions. Zbl 1120.33023
Schneider, Carsten
2007
Symbolic summation with radical expressions. Zbl 1190.68091
Kauers, Manuel; Schneider, Carsten
2007
Apéry’s double sum is plain sailing indeed. Zbl 1171.68052
Schneider, Carsten
2007
When is $$0.999\dots$$ equal to 1. Zbl 1226.11134
Pemantle, Robin; Schneider, Carsten
2007
Truncating binomial series with symbolic summation. Zbl 1120.05005
Paule, Peter; Schneider, Carsten
2007
Symbolic summation assists combinatorics. Zbl 1188.05001
Schneider, Carsten
2006
Padé approximations to the logarithm. III: Alternative methods and additional results. Zbl 1108.41011
Driver, Kathy; Prodinger, Helmut; Schneider, Carsten; Weideman, J. A. C.
2006
Indefinite summation with unspecified summands. Zbl 1157.05006
Kauers, Manuel; Schneider, Carsten
2006
Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation. Zbl 1102.41015
Driver, Kathy; Prodinger, Helmut; Schneider, Carsten; Weideman, J. A. C.
2006
Application of unspecified sequences in symbolic summation. Zbl 1356.68284
Kauers, Manuel; Schneider, Carsten
2006
Hypergeometric summation algorithms for high-order finite elements. Zbl 1113.65105
Bećirović, A.; Paule, P.; Pillwein, V.; Riese, A.; Schneider, C.; Schöberl, J.
2006
Solving parameterized linear difference equations in terms of indefinite nested sums and products. Zbl 1087.33011
Schneider, Carsten
2005
Product representations in $$\Pi\Sigma$$-fields. Zbl 1123.33021
Schneider, Carsten
2005
A new Sigma approach to multi-summation. Zbl 1078.33021
Schneider, Carsten
2005
Plane partitions. VI: Stembridge’s TSPP theorem. Zbl 1066.05019
Andrews, George E.; Paule, Peter; Schneider, Carsten
2005
Degree bounds to find polynomial solutions of parameterized linear difference equations in $$\Pi\Sigma$$-fields. Zbl 1101.39001
Schneider, Carsten
2005
Finding telescopers with minimal depth for indefinite nested sum and product expressions. Zbl 1360.68953
Schneider, Carsten
2005
The summation package Sigma: underlying principles and a rhombus tiling application. Zbl 1066.68164
Schneider, Carsten
2004
Symbolic summation with single-nested sum extensions. Zbl 1134.33329
Schneider, Carsten
2004
A collection of denominator bounds to solve parameterized linear difference equations in $$\Pi\Sigma$$-extensions. Zbl 1112.68139
Schneider, Carsten
2004
Computer proofs of a new family of harmonic number identities. Zbl 1039.11007
Paule, Peter; Schneider, Carsten
2003
An implementation of Karr’s summation algorithm in Mathematica. Zbl 0941.68162
Schneider, Carsten
1999
all top 5

#### Cited by 300 Authors

 42 Schneider, Carsten 27 Blümlein, Johannes 15 Ablinger, Jakob 13 De Freitas, Abilio 13 Liu, Jicai 10 Kauers, Manuel 9 Schönwald, K. 9 Wei, Chuanan 8 Duhr, Claude 8 Mao, Guo-Shuai 8 Sofo, Anthony 6 Behring, A. 6 Prodinger, Helmut 6 Tancredi, Lorenzo 6 Von Manteuffel, Andreas 5 Chen, Shaoshi 5 Chu, Wenchang 5 Hou, Qinghu 5 Marquard, Peter 5 Pillwein, Veronika 4 Choi, Junesang 4 Osburn, Robert 4 Paule, Peter 4 Schlotterer, Oliver 4 Straub, Armin 4 Sun, Zhi-Wei 4 Uncu, Ali Kemal 4 Wang, Weiping 3 Abramov, Sergeĭ Aleksandrovich 3 Abreu, Samuel 3 Beuchler, Sven 3 Borwein, Jonathan Michael 3 Brödel, Johannes 3 Chen, William Yong-Chuan 3 Dixon, Lance J. 3 Dulat, Falko 3 Frellesvig, Hjalte 3 Goedicke, A. 3 Klein, Sebastian 3 Koutschan, Christoph 3 Li, Ziming 3 Mafra, Carlos R. 3 Mu, Yanping 3 Onishchenko, Andrei I. 3 Pan, Hao 3 von Hippel, Matt 3 Wang, Chen 3 Wang, Ronghua 3 Zeilberger, Doron 2 Abderramán Marrero, J. 2 Bailey, David Harold 2 Banderier, Cyril 2 Batir, Necdet 2 Bogner, Christian 2 Britto, Ruth 2 Caron-Huot, Simon 2 Chen, Xiaojing 2 Cristofoli, Andrea 2 Di Vecchia, Paolo 2 Driver, Kathy A. 2 Feng, Ruyong 2 Gardi, Einan 2 Gong, Dianxuan 2 Gracey, John A. 2 Gromov, Nikolay 2 Guo, Victor J. W. 2 Heissenberg, Carlo 2 Jin, Hai-Tao 2 Kalita, Gautam 2 Kniehl, Bernd A. 2 Krattenthaler, Christian Friedrich 2 Liu, Hongmei 2 Maier, Andreas 2 Marcovecchio, Raffaele 2 Matthes, Nils 2 McLeod, Andrew J. 2 Moch, Sven-Olaf 2 Panzer, Erik 2 Papathanasiou, Georgios 2 Petkovšek, Marko 2 Primo, Amedeo 2 Raab, Clemens G. 2 Radu, Cristian-Silviu 2 Remiddi, Ettore 2 Saragnese, M. 2 Singer, Michael F. 2 Smirnov, Aleksandr Vladimirovich 2 Smirnov, Vladimir A. 2 Srivastava, Hari Mohan 2 Stan, Flavia 2 Sun, Lisa Hui 2 Tauraso, Roberto 2 Tomeo, Venancio 2 Veretin, Oleg L. 2 Vermaseren, Jos A. M. 2 Wang, Jun 2 Wang, Qin 2 Wang, Xiaoxia 2 Weideman, J. André C. 2 Zaglmayr, Sabine ...and 200 more Authors
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#### Cited in 85 Serials

 37 Journal of High Energy Physics 26 Nuclear Physics. B 20 Journal of Symbolic Computation 15 Advances in Applied Mathematics 10 Journal of Difference Equations and Applications 9 The Ramanujan Journal 8 Journal of Number Theory 7 Journal of Mathematical Analysis and Applications 6 Computer Physics Communications 6 Journal of Mathematical Physics 5 Bulletin of the Australian Mathematical Society 5 Integers 4 Discrete Mathematics 4 Physics Letters. B 4 Integral Transforms and Special Functions 4 Journal of Systems Science and Complexity 4 International Journal of Number Theory 3 Linear and Multilinear Algebra 3 Journal of Combinatorial Theory. Series A 3 Journal of Integer Sequences 2 Physics Reports 2 Computing 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 Programming and Computer Software 2 Results in Mathematics 2 Applicable Algebra in Engineering, Communication and Computing 2 Experimental Mathematics 2 Combinatorics, Probability and Computing 2 Annals of Combinatorics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 ACM Communications in Computer Algebra 2 International Journal of Combinatorics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Research in Number Theory 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Advances in Applied Probability 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Colloquium Mathematicum 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Probability Theory and Related Fields 1 Journal of Automated Reasoning 1 Mathematical and Computer Modelling 1 International Journal of Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 The Australasian Journal of Combinatorics 1 Journal de Théorie des Nombres de Bordeaux 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Algebra and its Applications 1 The European Physical Journal C. Particles and Fields 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Applications and Applied Mathematics 1 Mathematics in Computer Science 1 Journal of Physics A: Mathematical and Theoretical 1 Asian-European Journal of Mathematics 1 Discrete Mathematics, Algorithms and Applications 1 Acta Universitatis Sapientiae. Mathematica 1 Science China. Mathematics 1 Afrika Matematika 1 Mathematical Sciences 1 European Journal of Mathematics 1 Electronic Research Archive
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#### Cited in 36 Fields

 109 Number theory (11-XX) 109 Special functions (33-XX) 85 Quantum theory (81-XX) 76 Combinatorics (05-XX) 49 Computer science (68-XX) 17 Relativity and gravitational theory (83-XX) 16 Difference and functional equations (39-XX) 16 Numerical analysis (65-XX) 14 Field theory and polynomials (12-XX) 9 Partial differential equations (35-XX) 7 Sequences, series, summability (40-XX) 7 Approximations and expansions (41-XX) 7 Operator theory (47-XX) 4 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Associative rings and algebras (16-XX) 4 Mechanics of particles and systems (70-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Ordinary differential equations (34-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-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)

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