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Koutschan, Christoph

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Author ID: koutschan.christoph Recent zbMATH articles by "Koutschan, Christoph"
Published as: Koutschan, Christoph; Koutschan, Ch.; Koutschan, C.
External Links: MGP · Wikidata · dblp
Documents Indexed: 53 Publications since 2008
2 Contributions as Editor
Reviewing Activity: 19 Reviews
Co-Authors: 67 Co-Authors with 47 Joint Publications
1,855 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 241 times in 188 Documents Cited by Year
Advanced applications of the holonomic systems approach. (Abstract of thesis). Zbl 1344.68301
Koutschan, Christoph
40
2009
Proof of Ira Gessel’s lattice path conjecture. Zbl 1203.05010
Kauers, Manuel; Koutschan, Christoph; Zeilberger, Doron
23
2009
A fast approach to creative telescoping. Zbl 1218.68205
Koutschan, Christoph
23
2010
Proof of George Andrews’s and David Robbins’s \(q\)-TSPP conjecture. Zbl 1255.05011
Koutschan, Christoph; Kauers, Manuel; Zeilberger, Doron
18
2011
Creative telescoping for holonomic functions. Zbl 1308.81102
Koutschan, Christoph
17
2013
A Mathematica package for \(q\)-holonomic sequences and power series. Zbl 1180.33030
Kauers, Manuel; Koutschan, Christoph
10
2009
Planar linkages following a prescribed motion. Zbl 1404.70007
Gallet, Matteo; Koutschan, Christoph; Li, Zijia; Regensburger, Georg; Schicho, Josef; Villamizar, Nelly
8
2017
Irreducibility of \(q\)-difference operators and the knot \(7_{4}\). Zbl 1311.57017
Garoufalidis, Stavros; Koutschan, Christoph
8
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
The number of realizations of a Laman graph. Zbl 1439.14182
Capco, Jose; Gallet, Matteo; Grasegger, Georg; Koutschan, Christoph; Lubbes, Niels; Schicho, Josef
6
2018
Reduction-based creative telescoping for algebraic functions. Zbl 1360.68928
Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph
5
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.
5
2016
Computing the number of realizations of a Laman graph. Zbl 1378.05030
Capco, Jose; Gallet, Matteo; Grasegger, Georg; Koutschan, Christoph; Lubbes, Niels; Schicho, Josef
5
2017
Regular languages and their generating functions: The inverse problem. Zbl 1133.68039
Koutschan, Christoph
5
2008
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
A generalized Apagodu-Zeilberger algorithm. Zbl 1325.68270
Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph
4
2014
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
Third order integrability conditions for homogeneous potentials of degree \(-1\). Zbl 1331.70050
Combot, Thierry; 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
4
2012
The noncommutative \(A\)-polynomial of \((-2,3,n)\) pretzel knots. Zbl 1255.57012
Garoufalidis, Stavros; Koutschan, Christoph
4
2012
Lattice Green functions of the higher-dimensional face-centered cubic lattices. Zbl 1267.82059
Koutschan, Christoph
4
2013
Advanced computer algebra for determinants. Zbl 1276.33032
Koutschan, Christoph; Thanatipanonda, Thotsaporn “Aek”
3
2013
Reduction-based creative telescoping for Fuchsian D-finite functions. Zbl 1379.68363
Chen, Shaoshi; van Hoeij, Mark; Kauers, Manuel; Koutschan, Christoph
3
2018
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
Twisting \(q\)-holonomic sequences by complex roots of unity. Zbl 1323.68599
Garoufalidis, Stavros; Koutschan, Christoph
2
2012
Integral D-finite functions. Zbl 1345.68288
Kauers, Manuel; Koutschan, Christoph
2
2015
Relativistic Coulomb integrals and Zeilberger’s holonomic systems approach. II. Zbl 1403.68365
Koutschan, Christoph; Paule, Peter; Suslov, Sergei K.
2
2014
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.
2
2018
Desingularization in the \(q\)-Weyl algebra. Zbl 1418.16032
Koutschan, Christoph; Zhang, Yi
2
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
Zeilberger’s holonomic ansatz for Pfaffians. Zbl 1308.68174
Ishikawa, Masao; Koutschan, Christoph
1
2012
Inverse inequality estimates with symbolic computation. Zbl 1346.68291
Koutschan, Christoph; Neumüller, Martin; Radu, Cristian-Silviu
1
2016
Eliminating human insight: An algorithmic proof of Stembridge’s TSPP theorem. Zbl 1209.05017
Koutschan, Christoph
1
2010
Multivariate linear recurrences and power series division. Zbl 1254.05017
Hauser, Herwig; Koutschan, Christoph
1
2012
Lower bounds on the number of realizations of rigid graphs. Zbl 1442.05044
Grasegger, Georg; Koutschan, Christoph; Tsigaridas, Elias
1
2020
On the singular value decomposition of \(n\)-fold integration operators. Zbl 07224831
Ramlau, Ronny; Koutschan, Christoph; Hofmann, Bernd
1
2020
Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms. Zbl 1423.33025
Chen, Shaoshi; Koutschan, Christoph
1
2019
A curious family of binomial determinants that count rhombus tilings of a holey hexagon. Zbl 1416.05039
Koutschan, Christoph; Thanatipanonda, Thotsaporn
1
2019
Lower bounds on the number of realizations of rigid graphs. Zbl 1442.05044
Grasegger, Georg; Koutschan, Christoph; Tsigaridas, Elias
1
2020
On the singular value decomposition of \(n\)-fold integration operators. Zbl 07224831
Ramlau, Ronny; Koutschan, Christoph; Hofmann, Bernd
1
2020
Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms. Zbl 1423.33025
Chen, Shaoshi; Koutschan, Christoph
1
2019
A curious family of binomial determinants that count rhombus tilings of a holey hexagon. Zbl 1416.05039
Koutschan, Christoph; Thanatipanonda, Thotsaporn
1
2019
The number of realizations of a Laman graph. Zbl 1439.14182
Capco, Jose; Gallet, Matteo; Grasegger, Georg; Koutschan, Christoph; Lubbes, Niels; Schicho, Josef
6
2018
Reduction-based creative telescoping for Fuchsian D-finite functions. Zbl 1379.68363
Chen, Shaoshi; van Hoeij, Mark; Kauers, Manuel; Koutschan, Christoph
3
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.
2
2018
Desingularization in the \(q\)-Weyl algebra. Zbl 1418.16032
Koutschan, Christoph; Zhang, Yi
2
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
Planar linkages following a prescribed motion. Zbl 1404.70007
Gallet, Matteo; Koutschan, Christoph; Li, Zijia; Regensburger, Georg; Schicho, Josef; Villamizar, Nelly
8
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
5
2017
Reduction-based creative telescoping for algebraic functions. Zbl 1360.68928
Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph
5
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.
5
2016
Inverse inequality estimates with symbolic computation. Zbl 1346.68291
Koutschan, Christoph; Neumüller, Martin; Radu, Cristian-Silviu
1
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
4
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
17
2013
Irreducibility of \(q\)-difference operators and the knot \(7_{4}\). Zbl 1311.57017
Garoufalidis, Stavros; Koutschan, Christoph
8
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
4
2013
Advanced computer algebra for determinants. Zbl 1276.33032
Koutschan, Christoph; Thanatipanonda, Thotsaporn “Aek”
3
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
Computer algebra meets finite elements: an efficient implementation for Maxwell’s equations. Zbl 1250.78042
Koutschan, Christoph; Lehrenfeld, Christoph; Schöberl, Joachim
4
2012
The noncommutative \(A\)-polynomial of \((-2,3,n)\) pretzel knots. Zbl 1255.57012
Garoufalidis, Stavros; Koutschan, Christoph
4
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
18
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
23
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
40
2009
Proof of Ira Gessel’s lattice path conjecture. Zbl 1203.05010
Kauers, Manuel; Koutschan, Christoph; Zeilberger, Doron
23
2009
A Mathematica package for \(q\)-holonomic sequences and power series. Zbl 1180.33030
Kauers, Manuel; Koutschan, Christoph
10
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 237 Authors

22 Koutschan, Christoph
9 Bostan, Alin
8 Ciucu, Mihai
8 Schicho, Josef
7 Kauers, Manuel
6 Garoufalidis, Stavros
6 Moll, Victor Hugo
6 Raschel, Kilian
5 Bousquet-Mélou, Mireille
5 Chen, Shaoshi
5 Georgieva, Irina
5 Hofreither, Clemens
5 Melczer, Stephen
5 Schneider, Carsten
5 Schröcker, Hans-Peter
4 Grasegger, Georg
4 Kurkova, Irina A.
4 Li, Zijia
4 Thanatipanonda, Thotsaporn (Aek)
4 Uncu, Ali Kemal
4 van Hoeij, Mark
3 Ablinger, Jakob
3 Chern, Shane
3 Dominici, Diego Ernesto
3 González, Iván
3 Hauser, Herwig
3 Kohl, Karen T.
3 Lai, Tri
3 Lairez, Pierre
3 Salvy, Bruno
3 Vignat, Christophe
3 Wang, Ronghua
3 Wong, Elaine
2 Amdeberhan, Tewodros
2 Bartzos, Evangelos
2 Beaton, Nicholas R.
2 Berkovich, Alexander
2 Bernstein, Daniel Irving
2 Blümlein, Johannes
2 Capco, Jose
2 Cohl, Howard Saul
2 Combot, Thierry
2 Dreyfus, Thomas
2 Emiris, Ioannis Z.
2 Gallet, Matteo
2 Hou, Qinghu
2 Jiménez-Pastor, Antonio
2 Jiu, Lin
2 Krattenthaler, Christian Friedrich
2 Lavallée, Sylvain
2 Legerský, Jan
2 Li, Zhitai
2 Lin, Gwo Dong
2 Lubbes, Niels
2 Maillard, Jean-Marie
2 Mező, István
2 Mishna, Marni
2 Osburn, Robert
2 Pillwein, Veronika
2 Raab, Clemens G.
2 Sertöz, Emre Can
2 Stoyanov, Jordan M.
2 Straub, Armin
2 Tran, Anh Tuan
2 Tsigaridas, Elias P.
2 Weil, Jacques-Arthur
2 Zhang, Yi
1 Abdelaziz, Y.
1 Abramov, Sergeĭ Aleksandrovich
1 Albert, Michael Henry
1 Alonso, Mariemi E.
1 Andrews, George Eyre
1 Aparicio-Monforte, Ainhoa
1 Aptekarev, Alexander Ivanovich
1 Arnold, John M.
1 Arreche, Carlos E.
1 Bailey, David Harold
1 Banderier, Cyril
1 Barkatou, Moulay A.
1 Barley, Kamal
1 Berstel, Jean
1 Berthomieu, Jérémy
1 Bilotta, Stefano
1 Borkowski, Mariusz
1 Borwein, David
1 Borwein, Jonathan Michael
1 Boukraa, Salah
1 Boyer, Brice
1 Bréhard, Florent
1 Bronstein, Manuel Eric
1 Budd, Timothy G.
1 Burrows, Antony
1 Castro-Jiménez, Francisco Jesús
1 Chagelishvili, George
1 Chan, Jesse
1 Chaubey, Yogendra Prasad
1 Chen, Herman Z. Q.
1 Chen, Jingmin
1 Chyzak, Frédéric
1 Cluzeau, Thomas
...and 137 more Authors
all top 5

Cited in 83 Serials

20 Journal of Symbolic Computation
9 Advances in Applied Mathematics
7 Journal of Combinatorial Theory. Series A
7 Proceedings of the American Mathematical Society
6 The Electronic Journal of Combinatorics
5 Discrete Mathematics
4 Journal of Mathematical Physics
4 The Ramanujan Journal
3 Journal of Computational Physics
3 Journal of Mathematical Analysis and Applications
3 Transactions of the American Mathematical Society
3 European Journal of Combinatorics
3 Journal of Knot Theory and its Ramifications
3 Annals of Combinatorics
3 Foundations of Computational Mathematics
3 Mathematics in Computer Science
3 SIAM Journal on Applied Algebra and Geometry
2 Rocky Mountain Journal of Mathematics
2 Mathematics of Computation
2 Advances in Mathematics
2 Journal of Computational and Applied Mathematics
2 Journal of Number Theory
2 SIAM Journal on Discrete Mathematics
2 Linear Algebra and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 Applicable Algebra in Engineering, Communication and Computing
2 Experimental Mathematics
2 Combinatorics, Probability and Computing
2 Journal of Difference Equations and Applications
2 Journal of the European Mathematical Society (JEMS)
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
1 Communications in Algebra
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 Acta Mathematica Vietnamica
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 Revista de la Unión Matemática Argentina
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 Applied and Computational Harmonic Analysis
1 Turkish Journal of Mathematics
1 Advances in Applied Clifford Algebras
1 Engineering Analysis with Boundary Elements
1 Séminaire Lotharingien de Combinatoire
1 Journal of Inequalities and Applications
1 Journal of Integer Sequences
1 Journal of High Energy Physics
1 Lobachevskii Journal of Mathematics
1 Central European Journal of Mathematics
1 Quantum Information Processing
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 International Journal of Number Theory
1 Scientia. Series A: Mathematical Sciences. New Series
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 44 Fields

63 Combinatorics (05-XX)
54 Special functions (33-XX)
44 Computer science (68-XX)
25 Number theory (11-XX)
20 Algebraic geometry (14-XX)
19 Numerical analysis (65-XX)
15 Convex and discrete geometry (52-XX)
15 Manifolds and cell complexes (57-XX)
13 Field theory and polynomials (12-XX)
13 Quantum theory (81-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
9 Difference and functional equations (39-XX)
8 Commutative algebra (13-XX)
8 Functions of a complex variable (30-XX)
8 Mechanics of particles and systems (70-XX)
7 Associative rings and algebras (16-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Ordinary differential equations (34-XX)
6 Probability theory and stochastic processes (60-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)
3 Real functions (26-XX)
3 Partial differential equations (35-XX)
3 Statistics (62-XX)
2 Group theory and generalizations (20-XX)
2 Sequences, series, summability (40-XX)
2 Geometry (51-XX)
2 Differential geometry (53-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 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

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