×

zbMATH — the first resource for mathematics

Koutschan, Christoph

Compute Distance To:
Author ID: koutschan.christoph Recent zbMATH articles by "Koutschan, Christoph"
Published as: Koutschan, C.; Koutschan, Ch.; Koutschan, Christoph
External Links: MGP · Wikidata · dblp
Documents Indexed: 50 Publications since 2008
Reviewing Activity: 13 Reviews

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 196 times in 155 Documents Cited by Year
Advanced applications of the holonomic systems approach. (Abstract of thesis). Zbl 1344.68301
Koutschan, Christoph
34
2009
Proof of Ira Gessel’s lattice path conjecture. Zbl 1203.05010
Kauers, Manuel; Koutschan, Christoph; Zeilberger, Doron
21
2009
A fast approach to creative telescoping. Zbl 1218.68205
Koutschan, Christoph
20
2010
Proof of George Andrews’s and David Robbins’s \(q\)-TSPP conjecture. Zbl 1255.05011
Koutschan, Christoph; Kauers, Manuel; Zeilberger, Doron
17
2011
Creative telescoping for holonomic functions. Zbl 1308.81102
Koutschan, Christoph
10
2013
The integrals in Gradshteyn and Ryzhik. XXII: Bessel-\(K\) functions. Zbl 1262.33006
Glasser, Larry; Kohl, Karen T.; Koutschan, Christoph; Moll, Victor H.; Straub, Armin
7
2012
A Mathematica package for \(q\)-holonomic sequences and power series. Zbl 1180.33030
Kauers, Manuel; Koutschan, Christoph
7
2009
Planar linkages following a prescribed motion. Zbl 1404.70007
Gallet, Matteo; Koutschan, Christoph; Li, Zijia; Regensburger, Georg; Schicho, Josef; Villamizar, Nelly
6
2017
Irreducibility of \(q\)-difference operators and the knot \(7_{4}\). Zbl 1311.57017
Garoufalidis, Stavros; Koutschan, Christoph
5
2013
Harmonic interpolation based on Radon projections along the sides of regular polygons. Zbl 1263.41002
Georgieva, Irina; Hofreither, Clemens; Koutschan, Christoph; Pillwein, Veronika; Thanatipanonda, Thotsaporn
5
2013
Regular languages and their generating functions: The inverse problem. Zbl 1133.68039
Koutschan, Christoph
5
2008
Computing the number of realizations of a Laman graph. Zbl 1378.05030
Capco, Jose; Gallet, Matteo; Grasegger, Georg; Koutschan, Christoph; Lubbes, Niels; Schicho, Josef
4
2017
Reduction-based creative telescoping for algebraic functions. Zbl 1360.68928
Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph
4
2016
Lattice Green functions: the \(d\)-dimensional face-centered cubic lattice, \(d = 8, 9, 10, 11, 12\). Zbl 1357.35096
Hassani, S.; Koutschan, Ch.; Maillard, J.-M.; Zenine, N.
4
2016
Third order integrability conditions for homogeneous potentials of degree \(-1\). Zbl 1331.70050
Combot, Thierry; Koutschan, Christoph
4
2012
The noncommutative \(A\)-polynomial of \((-2,3,n)\) pretzel knots. Zbl 1255.57012
Garoufalidis, Stavros; Koutschan, Christoph
4
2012
The \(\mathfrak {sl}_{3}\) Jones polynomial of the trefoil: a case study of \(q\)-holonomic sequences. Zbl 1227.57004
Garoufalidis, Stavros; Koutschan, Christoph
4
2011
The number of realizations of a Laman graph. Zbl 1439.14182
Capco, Jose; Gallet, Matteo; Grasegger, Georg; Koutschan, Christoph; Lubbes, Niels; Schicho, Josef
3
2018
Lattice Green functions of the higher-dimensional face-centered cubic lattices. Zbl 1267.82059
Koutschan, Christoph
3
2013
Computer algebra meets finite elements: an efficient implementation for Maxwell’s equations. Zbl 1250.78042
Koutschan, Christoph; Lehrenfeld, Christoph; Schöberl, Joachim
3
2012
Integrals of powers of loggamma. Zbl 1213.33002
Amdeberhan, Tewodros; Coffey, Mark W.; Espinosa, Olivier; Koutschan, Christoph; Manna, Dante V.; Moll, Victor H.
3
2011
Computing one of Victor Moll’s irresistible integrals with computer algebra. Zbl 1156.68630
Koutschan, Christoph; Levandovskyy, Viktor
3
2008
Echelons of power series and Gabrielov’s counterexample to nested linear Artin approximation. Zbl 1400.32001
Alonso, Mariemi E.; Castro-Jiménez, Francisco J.; Hauser, Herwig; Koutschan, Christoph
2
2018
Integral D-finite functions. Zbl 1345.68288
Kauers, Manuel; Koutschan, Christoph
2
2015
A generalized Apagodu-Zeilberger algorithm. Zbl 1325.68270
Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph
2
2014
Relativistic Coulomb integrals and Zeilberger’s holonomic systems approach. II. Zbl 1403.68365
Koutschan, Christoph; Paule, Peter; Suslov, Sergei K.
2
2014
Advanced computer algebra for determinants. Zbl 1276.33032
Koutschan, Christoph; Thanatipanonda, Thotsaporn “Aek”
2
2013
Twisting \(q\)-holonomic sequences by complex roots of unity. Zbl 1323.68599
Garoufalidis, Stavros; Koutschan, Christoph
2
2012
On the singular value decomposition of \(n\)-fold integration operators. Zbl 07224831
Ramlau, Ronny; Koutschan, Christoph; Hofmann, Bernd
1
2020
Diagonals of rational functions, pullbacked \(\mathbf{_2F_1}\) hypergeometric functions and modular forms. Zbl 1408.33008
Abdelaziz, Y.; Boukraa, S.; Koutschan, C.; Maillard, J.-M.
1
2018
Desingularization in the \(q\)-Weyl algebra. Zbl 1418.16032
Koutschan, Christoph; Zhang, Yi
1
2018
Reduction-based creative telescoping for Fuchsian D-finite functions. Zbl 1379.68363
Chen, Shaoshi; van Hoeij, Mark; Kauers, Manuel; Koutschan, Christoph
1
2018
Zeilberger’s holonomic ansatz for Pfaffians. Zbl 1308.68174
Ishikawa, Masao; Koutschan, Christoph
1
2012
Multivariate linear recurrences and power series division. Zbl 1254.05017
Hauser, Herwig; Koutschan, Christoph
1
2012
The integrals in Gradshteyn and Ryzhik. XVIII: Some automatic proofs. Zbl 1244.33024
Koutschan, Christoph; Moll, Victor H.
1
2010
Eliminating human insight: An algorithmic proof of Stembridge’s TSPP theorem. Zbl 1209.05017
Koutschan, Christoph
1
2010
On the singular value decomposition of \(n\)-fold integration operators. Zbl 07224831
Ramlau, Ronny; Koutschan, Christoph; Hofmann, Bernd
1
2020
The number of realizations of a Laman graph. Zbl 1439.14182
Capco, Jose; Gallet, Matteo; Grasegger, Georg; Koutschan, Christoph; Lubbes, Niels; Schicho, Josef
3
2018
Echelons of power series and Gabrielov’s counterexample to nested linear Artin approximation. Zbl 1400.32001
Alonso, Mariemi E.; Castro-Jiménez, Francisco J.; Hauser, Herwig; Koutschan, Christoph
2
2018
Diagonals of rational functions, pullbacked \(\mathbf{_2F_1}\) hypergeometric functions and modular forms. Zbl 1408.33008
Abdelaziz, Y.; Boukraa, S.; Koutschan, C.; Maillard, J.-M.
1
2018
Desingularization in the \(q\)-Weyl algebra. Zbl 1418.16032
Koutschan, Christoph; Zhang, Yi
1
2018
Reduction-based creative telescoping for Fuchsian D-finite functions. Zbl 1379.68363
Chen, Shaoshi; van Hoeij, Mark; Kauers, Manuel; Koutschan, Christoph
1
2018
Planar linkages following a prescribed motion. Zbl 1404.70007
Gallet, Matteo; Koutschan, Christoph; Li, Zijia; Regensburger, Georg; Schicho, Josef; Villamizar, Nelly
6
2017
Computing the number of realizations of a Laman graph. Zbl 1378.05030
Capco, Jose; Gallet, Matteo; Grasegger, Georg; Koutschan, Christoph; Lubbes, Niels; Schicho, Josef
4
2017
Reduction-based creative telescoping for algebraic functions. Zbl 1360.68928
Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph
4
2016
Lattice Green functions: the \(d\)-dimensional face-centered cubic lattice, \(d = 8, 9, 10, 11, 12\). Zbl 1357.35096
Hassani, S.; Koutschan, Ch.; Maillard, J.-M.; Zenine, N.
4
2016
Integral D-finite functions. Zbl 1345.68288
Kauers, Manuel; Koutschan, Christoph
2
2015
A generalized Apagodu-Zeilberger algorithm. Zbl 1325.68270
Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph
2
2014
Relativistic Coulomb integrals and Zeilberger’s holonomic systems approach. II. Zbl 1403.68365
Koutschan, Christoph; Paule, Peter; Suslov, Sergei K.
2
2014
Creative telescoping for holonomic functions. Zbl 1308.81102
Koutschan, Christoph
10
2013
Irreducibility of \(q\)-difference operators and the knot \(7_{4}\). Zbl 1311.57017
Garoufalidis, Stavros; Koutschan, Christoph
5
2013
Harmonic interpolation based on Radon projections along the sides of regular polygons. Zbl 1263.41002
Georgieva, Irina; Hofreither, Clemens; Koutschan, Christoph; Pillwein, Veronika; Thanatipanonda, Thotsaporn
5
2013
Lattice Green functions of the higher-dimensional face-centered cubic lattices. Zbl 1267.82059
Koutschan, Christoph
3
2013
Advanced computer algebra for determinants. Zbl 1276.33032
Koutschan, Christoph; Thanatipanonda, Thotsaporn “Aek”
2
2013
The integrals in Gradshteyn and Ryzhik. XXII: Bessel-\(K\) functions. Zbl 1262.33006
Glasser, Larry; Kohl, Karen T.; Koutschan, Christoph; Moll, Victor H.; Straub, Armin
7
2012
Third order integrability conditions for homogeneous potentials of degree \(-1\). Zbl 1331.70050
Combot, Thierry; Koutschan, Christoph
4
2012
The noncommutative \(A\)-polynomial of \((-2,3,n)\) pretzel knots. Zbl 1255.57012
Garoufalidis, Stavros; Koutschan, Christoph
4
2012
Computer algebra meets finite elements: an efficient implementation for Maxwell’s equations. Zbl 1250.78042
Koutschan, Christoph; Lehrenfeld, Christoph; Schöberl, Joachim
3
2012
Twisting \(q\)-holonomic sequences by complex roots of unity. Zbl 1323.68599
Garoufalidis, Stavros; Koutschan, Christoph
2
2012
Zeilberger’s holonomic ansatz for Pfaffians. Zbl 1308.68174
Ishikawa, Masao; Koutschan, Christoph
1
2012
Multivariate linear recurrences and power series division. Zbl 1254.05017
Hauser, Herwig; Koutschan, Christoph
1
2012
Proof of George Andrews’s and David Robbins’s \(q\)-TSPP conjecture. Zbl 1255.05011
Koutschan, Christoph; Kauers, Manuel; Zeilberger, Doron
17
2011
The \(\mathfrak {sl}_{3}\) Jones polynomial of the trefoil: a case study of \(q\)-holonomic sequences. Zbl 1227.57004
Garoufalidis, Stavros; Koutschan, Christoph
4
2011
Integrals of powers of loggamma. Zbl 1213.33002
Amdeberhan, Tewodros; Coffey, Mark W.; Espinosa, Olivier; Koutschan, Christoph; Manna, Dante V.; Moll, Victor H.
3
2011
A fast approach to creative telescoping. Zbl 1218.68205
Koutschan, Christoph
20
2010
The integrals in Gradshteyn and Ryzhik. XVIII: Some automatic proofs. Zbl 1244.33024
Koutschan, Christoph; Moll, Victor H.
1
2010
Eliminating human insight: An algorithmic proof of Stembridge’s TSPP theorem. Zbl 1209.05017
Koutschan, Christoph
1
2010
Advanced applications of the holonomic systems approach. (Abstract of thesis). Zbl 1344.68301
Koutschan, Christoph
34
2009
Proof of Ira Gessel’s lattice path conjecture. Zbl 1203.05010
Kauers, Manuel; Koutschan, Christoph; Zeilberger, Doron
21
2009
A Mathematica package for \(q\)-holonomic sequences and power series. Zbl 1180.33030
Kauers, Manuel; Koutschan, Christoph
7
2009
Regular languages and their generating functions: The inverse problem. Zbl 1133.68039
Koutschan, Christoph
5
2008
Computing one of Victor Moll’s irresistible integrals with computer algebra. Zbl 1156.68630
Koutschan, Christoph; Levandovskyy, Viktor
3
2008
all top 5

Cited by 209 Authors

19 Koutschan, Christoph
8 Ciucu, Mihai
7 Bostan, Alin
7 Kauers, Manuel
6 Garoufalidis, Stavros
6 Moll, Victor Hugo
6 Raschel, Kilian
6 Schicho, Josef
5 Chen, Shaoshi
5 Georgieva, Irina
5 Hofreither, Clemens
4 Bousquet-Mélou, Mireille
4 Grasegger, Georg
4 Kurkova, Irina A.
4 Li, Zijia
4 Melczer, Stephen
4 Schneider, Carsten
4 Schröcker, Hans-Peter
4 van Hoeij, Mark
4 Vignat, Christophe
3 González, Iván
3 Hauser, Herwig
3 Kohl, Karen T.
3 Lairez, Pierre
3 Salvy, Bruno
3 Straub, Armin
3 Thanatipanonda, Thotsaporn (Aek)
3 Wang, Ronghua
3 Zhang, Yi
2 Amdeberhan, Tewodros
2 Blümlein, Johannes
2 Borwein, Jonathan Michael
2 Capco, Jose
2 Chern, Shane
2 Cohl, Howard Saul
2 Combot, Thierry
2 Dominici, Diego Ernesto
2 Gallet, Matteo
2 Jiu, Lin
2 Krattenthaler, Christian Friedrich
2 Lai, Tri
2 Lavallée, Sylvain
2 Legerský, Jan
2 Lin, Gwo Dong
2 Lubbes, Niels
2 Maillard, Jean-Marie
2 Mező, István
2 Mishna, Marni
2 Pillwein, Veronika
2 Sertöz, Emre Can
2 Stoyanov, Jordan M.
2 Tsigaridas, Elias P.
1 Abdelaziz, Y.
1 Ablinger, Jakob
1 Albert, Michael Henry
1 Alonso, Mariemi E.
1 Aparicio-Monforte, Ainhoa
1 Arnold, John M.
1 Bailey, David Harold
1 Banderier, Cyril
1 Barkatou, Moulay A.
1 Barley, Kamal
1 Bartzos, Evangelos
1 Beaton, Nicholas R.
1 Berkovich, Alexander
1 Bernstein, Daniel Irving
1 Berstel, Jean
1 Berthomieu, Jérémy
1 Bilotta, Stefano
1 Borkowski, Mariusz
1 Borwein, David
1 Boukraa, Salah
1 Boyer, Brice
1 Budd, Timothy G.
1 Burrows, Antony
1 Bytev, Vladimir V.
1 Castro-Jiménez, Francisco Jesús
1 Chagelishvili, George
1 Chan, Jesse
1 Chaubey, Yogendra P.
1 Chen, Herman Z. Q.
1 Chyzak, Frédéric
1 Cluzeau, Thomas
1 Cooper, Shaun
1 Coskun, Izzet
1 DasGupta, Anirban
1 de Hon, Bastiaan P.
1 Detcherry, Renaud
1 Dilcher, Karl
1 Dimofte, Tudor Dan
1 Dreyfus, Thomas
1 Drmota, Michael
1 Du, Lixin
1 Emiris, Ioannis Z.
1 Faugère, Jean-Charles
1 Floris, Sander J.
1 Gabella, Maxime
1 Galakhov, D. V.
1 Gerhold, Stefan
1 Goncharov, Alexander Borisovich
...and 109 more Authors
all top 5

Cited in 77 Serials

17 Journal of Symbolic Computation
8 Advances in Applied Mathematics
6 Journal of Combinatorial Theory. Series A
5 The Electronic Journal of Combinatorics
4 Discrete Mathematics
4 Journal of Mathematical Physics
4 Proceedings of the American Mathematical Society
4 The Ramanujan Journal
3 Journal of Mathematical Analysis and Applications
3 Advances in Mathematics
3 Transactions of the American Mathematical Society
3 Annals of Combinatorics
3 Foundations of Computational Mathematics
2 Journal of Computational Physics
2 Rocky Mountain Journal of Mathematics
2 Mathematics of Computation
2 Journal of Computational and Applied Mathematics
2 Journal of Number Theory
2 European Journal of Combinatorics
2 SIAM Journal on Discrete Mathematics
2 Linear Algebra and its Applications
2 Journal of Knot Theory and its Ramifications
2 Experimental Mathematics
2 Combinatorics, Probability and Computing
2 Algebraic & Geometric Topology
2 Journal of Systems Science and Complexity
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Physics A: Mathematical and Theoretical
2 SIAM Journal on Applied Algebra and Geometry
1 Communications in Algebra
1 Computer Physics Communications
1 Discrete Applied Mathematics
1 Inverse Problems
1 Information Processing Letters
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Letters. A
1 Theoretical and Mathematical Physics
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Annales de l’Institut Fourier
1 Calcolo
1 Fundamenta Mathematicae
1 Publications Mathématiques
1 Journal of Computer and System Sciences
1 Journal of Multivariate Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Statistical Planning and Inference
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Numerische Mathematik
1 Programming and Computer Software
1 Theoretical Computer Science
1 Statistics & Probability Letters
1 Probability Theory and Related Fields
1 Algorithmica
1 Journal of Theoretical Probability
1 Japan Journal of Industrial and Applied Mathematics
1 Proceedings of the National Academy of Sciences of the United States of America
1 Bulletin of the American Mathematical Society. New Series
1 Applied and Computational Harmonic Analysis
1 Turkish Journal of Mathematics
1 Engineering Analysis with Boundary Elements
1 Journal of Difference Equations and Applications
1 Séminaire Lotharingien de Combinatoire
1 Journal of Inequalities and Applications
1 Journal of the European Mathematical Society (JEMS)
1 Journal of High Energy Physics
1 Central European Journal of Mathematics
1 Quantum Information Processing
1 International Journal of Number Theory
1 Scientia. Series A: Mathematical Sciences. New Series
1 Mathematics in Computer Science
1 ACM Communications in Computer Algebra
1 Communications in Theoretical Physics
1 Research in the Mathematical Sciences
1 Open Mathematics
1 Annales Henri Lebesgue
all top 5

Cited in 41 Fields

51 Combinatorics (05-XX)
43 Special functions (33-XX)
37 Computer science (68-XX)
17 Algebraic geometry (14-XX)
16 Number theory (11-XX)
14 Numerical analysis (65-XX)
12 Manifolds and cell complexes (57-XX)
10 Convex and discrete geometry (52-XX)
10 Quantum theory (81-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
7 Field theory and polynomials (12-XX)
7 Commutative algebra (13-XX)
7 Functions of a complex variable (30-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Ordinary differential equations (34-XX)
7 Difference and functional equations (39-XX)
7 Probability theory and stochastic processes (60-XX)
6 Associative rings and algebras (16-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Approximations and expansions (41-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Integral transforms, operational calculus (44-XX)
5 Mechanics of particles and systems (70-XX)
4 Statistics (62-XX)
3 Partial differential equations (35-XX)
2 Real functions (26-XX)
2 Geometry (51-XX)
2 Fluid mechanics (76-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Systems theory; control (93-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of deformable solids (74-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.