Christoph Koutschan

Priv.-Doz. Dr.

Christoph Koutschan

Priv.-Doz. Dr.

Senior Research Scientist
Symbolic Computation

+43 (732) 2468 - 5254
Christoph.Koutschan(at)oeaw.ac.at

Biographical sketch

Born on December 12, 1978 in Dillingen an der Donau, Germany; married, two children
1999 - 2005: Studies in Computer Science, FAU Erlangen-Nürnberg, Germany
2005 - 2009: Doctoral Studies in Mathematics, Research Institute for Symbolic Computation (RISC), JKU Linz, Austria
2017: Habilitation in Mathematics, JKU Linz, Austria

Former and Current Positions

2005 - 2007: Research Assistant, FWF Spezialforschungsbereich F013, JKU Linz, Austria
2006 - : Teaching Assistant, JKU Linz, Austria
2008 - 2009: Research Assistant, FWF project P20162-N18, JKU Linz, Austria
2009 - 2010: Research Scientist, Tulane University, New Orleans, USA
2010 - 2011: Research Scientist, Research Institute for Symbolic Computation (RISC), JKU Linz, Austria
2010 - : Teaching Assistant, FH Hagenberg, Austria
2011 - 2012: Research Scientist, MSR-INRIA Joint Centre, Orsay, France
2012 - : Research Scientist in the Symbolic Computation group at RICAM
2019 - : Member of the Works Council of the Austrian Academy of Sciences

Research interests

Computer Algebra, Algorithmic Combinatorics, Symbolic Summation and Integration of Holonomic Functions

Publications

How to generate all possible rational Wilf-Zeilberger forms? / Chen, Shaoshi; Koutschan, Christoph; Wang, Yisen.
in: Journal of Symbolic Computation, Jahrgang 132, 102473, 2026.
DOI RIS ENW BIB
A shape lemma for ideals of differential operators. / Kauers, Manuel; Koutschan, Christoph; Verron, Thibaut.
in: Journal of Algebra, Jahrgang 677, 01.09.2025, S. 448-459.
DOI RIS ENW BIB
Representing piecewise linear functions by functions with small arity. / Koutschan, Christoph; Moser, Bernhard; Ponomarchuk, Anton et al.
in: Applicable Algebra in Engineering, Communications and Computing, Jahrgang 36, Nr. 4, s00200-023-00627-1, 07.2025, S. 595-610.
DOI RIS ENW BIB
The (symbolic and numeric) computational challenges of counting 0-1 balanced matrices. / Dougherty-Bliss, Robert; Koutschan, Christoph; Ter-Saakov, Natalya et al.
in: Enumerative Combinatorics and Applications, Jahrgang 5, Nr. 2, #S2R14, 2025.
DOI RIS ENW BIB
Quaternary Legendre pairs II. / Kotsireas, Ilias S.; Koutschan, Christoph; Winterhof, Arne.
in: Discrete Mathematics, Jahrgang 348, Nr. 9, 114501, 2025.
DOI RIS ENW BIB
Determinant evaluations inspired by Di Francesco's determinant for twenty-vertex configurations. / Koutschan, Christoph; Krattenthaler, Christian; Schlosser, Michael.
in: Journal of Symbolic Computation, Jahrgang 127, 102352, 03.07.2024.
DOI Website RIS ENW BIB
Collisionless shock region of the KdV equation and an entry in Gradshteyn and Ryzhik. / Amdeberhan, Tewodros; Moll, Victor H.; Santander, John Lopez et al.
in: Physica D: Nonlinear Phenomena, Jahrgang 456, 15.12.2023, S. 133909.
DOI Download RIS ENW BIB
Legendre pairs of lengths ℓ≡0 (mod 5). / Kotsireas, Ilias S.; Koutschan, Christoph; Dursun, A et al.
in: Special Matrices, Jahrgang 11, Nr. 1, 10.11.2023, S. 20230105.
DOI Download RIS ENW BIB
Gene transfer-based phylogenetics: analytical expressions and additivity via birth-death theory. / Katriel, Guy; Mahanaymi, Udi; Brezner, Shelly et al.
in: Systematic Biology, Jahrgang 72, 20.10.2023, S. 1403-1417.
DOI RIS ENW BIB
A case study in determinant evaluations. / Amdeberhan, Tewodros; Koutschan, Christoph; Zeilberger, Doron.
in: Seminaire Lotharingien de Combinatoire, Jahrgang 89, 16.08.2023, S. Art. B89a.
Download RIS ENW BIB
Some D-finite and some possibly D-finite sequences in the OEIS. / Kauers, Manuel; Koutschan, Christoph.
in: Journal of Integer Sequences, Jahrgang 26, Nr. 4, 24.04.2023, S. Article 23.4.5.
Website Download RIS ENW BIB
How does the gerrymander sequence continue? / Kauers, Manuel; Koutschan, Christoph; Spahn, George.
in: Journal of Integer Sequences, Jahrgang 25, Nr. 9, 28.11.2022, S. Article 22.9.7.
Website Download RIS ENW BIB
Apéry limits for elliptic L-values. / Koutschan, Christoph; Zudilin, Wadim.
in: Bulletin of the Australian Mathematical Society, Jahrgang 106, Nr. 2, 15.10.2022, S. 273-279.
DOI Download RIS ENW BIB
Diagonals of rational functions: from differential algebra to effective algebraic geometry. / Abdelaziz, Youssef; Boukraa, Salah; Koutschan, Christoph et al.
in: Symmetry, Jahrgang 14, Nr. 7, 22.06.2022, S. 1297.
DOI Download RIS ENW BIB
Tweaking the Beukers integrals in search of more miraculous irrationality proofs à la Apéry. / Dougherty-Bliss, Robert; Koutschan, Christoph; Zeilberger, Doron.
in: Ramanujan Journal, Jahrgang 58, 03.03.2022, S. 973-994.
DOI Website Download RIS ENW BIB
Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz. / Du, Hao; Koutschan, Christoph; Thanatipanonda, Thotsaporn et al.
in: European Journal of Combinatorics, Jahrgang 99, 15.01.2022, S. 103437.
DOI Website Download RIS ENW BIB
Common factors in fraction-free matrix decompositions. / Middeke, Johannes; David, J; Koutschan, Christoph.
in: Mathematics in Computer Science, Jahrgang 15, Nr. 4, 15.12.2021, S. 589-608.
DOI Website Download RIS ENW BIB
Legendre pairs of lengths ℓ≡0 (mod 3). / Kotsireas, Ilias; Koutschan, Christoph.
in: Journal of Combinatorial Designs, Jahrgang 29, Nr. 12, 30.09.2021, S. 870-887.
DOI Website Download RIS ENW BIB
Creative Telescoping on Multiple Sums. / Koutschan, Christoph; Wong, Elaine.
in: Mathematics in Computer Science, Jahrgang 15, Nr. 3, 04.05.2021, S. 483-498.
DOI Website Download RIS ENW BIB
There are EXACTLY 1493804444499093354916284290188948031229880469556 Ways to Derange a Standard Deck of Cards (ignoring suits) [and many other such useful facts]. / Shalosh, B; Koutschan, Christoph; Zeilberger, Doron.
in: Enumerative Combinatorics and Applications, Jahrgang 1, Nr. 3, 12.03.2021, S. #S2R17.
Website Download RIS ENW BIB
Calculation and properties of zonal polynomials. / Jiu, Lin; Koutschan, Christoph.
in: Mathematics in Computer Science, Jahrgang 14, 15.09.2020, S. 623-640.
DOI Website Download RIS ENW BIB
Lower bounds on the number of realizations of rigid graphs. / Grasegger, Georg; Koutschan, Christoph; Tsigaridas, Elias.
in: Experimental Mathematics, Jahrgang 29, Nr. 2, 20.05.2020, S. 125-136.
DOI RIS ENW BIB
On Christol's conjecture. / Abdelaziz, Youssef; Koutschan, Christoph; Maillard, Jean-Marie.
in: Journal of Physics A: Mathematical and Theoretical, Jahrgang 53, Nr. 20, 28.04.2020, S. 205201.
DOI Website Download RIS ENW BIB
Heun functions and diagonals of rational functions. / Abdelaziz, Youssef; Boukraa, Salah; Koutschan, Christoph et al.
in: Journal of Physics A: Mathematical and Theoretical, Jahrgang 53, Nr. 7, 27.01.2020, S. 075206.
DOI Website Download RIS ENW BIB
A curious family of binomial determinants that count rhombus tilings of a holey hexagon. / Koutschan, Christoph; Thanatipanonda, Thotsaporn.
in: Journal of Combinatorial Theory. Series A, Jahrgang 166, 15.08.2019, S. 352-381.
DOI Website Download RIS ENW BIB
Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms. / Chen, Shaoshi; Koutschan, Christoph.
in: Journal of Symbolic Computation, Jahrgang 93, 01.07.2019, S. 133-147.
DOI Website Download RIS ENW BIB
Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms. / Abdelaziz, Youssef; Boukraa, Salah; Koutschan, Christoph et al.
in: Journal of Physics A: Mathematical and Theoretical, Jahrgang 51, Nr. 45, 10.10.2018, S. 455201.
DOI Website Download RIS ENW BIB
Echelons of power series and Gabrielov's counterexample to nested linear Artin approximation. / Mariemi, E; Francisco, J; Hauser, Herwig et al.
in: Bulletin of the London Mathematical Society, Jahrgang 50, Nr. 4, 15.08.2018, S. 649-662.
DOI Website Download RIS ENW BIB
Desingularization in the q-Weyl algebra. / Koutschan, Christoph; Zhang, Yi.
in: Advances in Applied Mathematics, Jahrgang 97, 15.06.2018, S. 80-101.
DOI Website Download RIS ENW BIB
Reduction-based creative telescoping for fuchsian D-finite functions. / Chen, Shaoshi; van Hoeij, Mark; Kauers, Manuel et al.
in: Journal of Symbolic Computation, Jahrgang 85, 15.03.2018, S. 108-127.
DOI Website Download RIS ENW BIB
The number of realizations of a Laman graph. / Capco, Jose; Gallet, Matteo; Grasegger, Georg et al.
in: SIAM Journal on Applied Algebra and Geometry, Jahrgang 2, Nr. 1, 06.03.2018, S. 94-125.
DOI Website RIS ENW BIB
Computing the number of realizations of a Laman graph. / Capco, Jose; Gallet, Matteo; Grasegger, Georg et al.
in: Electronic Notes in Discrete Mathematics, Jahrgang 61, 03.08.2017, S. 207-213.
DOI Website RIS ENW BIB
Planar Linkages Following a Prescribed Motion. / Gallet, Matteo; Koutschan, Christoph; Li, Zijia et al.
in: Mathematics of Computation, Jahrgang 86, 15.01.2017, S. 473-506.
DOI Website Download RIS ENW BIB
Motion polynomials and planar linkages. / Koutschan, Christoph.
in: ACM Communications in Computer Algebra, Jahrgang 50, Nr. 3, 04.11.2016, S. 109-112.
DOI Website Download RIS ENW BIB
Inverse Inequality Estimates with Symbolic Computation. / Koutschan, Christoph; Neumüller, Martin; Radu, Silviu.
in: Advances in Applied Mathematics, Jahrgang 80, 15.09.2016, S. 1-23.
DOI Website Download RIS ENW BIB
Exact ZF analysis and computer-algebra-aided evaluation in rank-1 LoS Rician fading. / Siriteanu, Constantin; Takemura, Akimichi; Koutschan, Christoph et al.
in: IEEE Transactions on Wireless Communications, Jahrgang 15, Nr. 8, 21.04.2016, S. 5245-5259.
DOI Website Download RIS ENW BIB
Lattice Green Functions: the d-dimensional face-centred cubic lattice, d = 8, 9, 10, 11, 12. / Hassani, Saoud; Koutschan, Christoph; Maillard, Jean-Marie et al.
in: Journal of Physics A: Mathematical and Theoretical, Jahrgang 49, Nr. 16, 17.03.2016, S. 164003.
DOI Website Download RIS ENW BIB
Fundamental laser modes in paraxial optics: from computer algebra and simulations to experimental observation. / Koutschan, Christoph; Suazo, Erwin; Sergei, K.
in: Applied Physics B: Lasers and Optics, Jahrgang 121, Nr. 3, 17.10.2015, S. 315-336.
DOI Website Download RIS ENW BIB
MIMO Zero-Forcing Performance Evaluation Using the Holonomic Gradient Method. / Siriteanu, Constantin; Takemura, Akimichi; Kuriki, Satoshi et al.
in: IEEE Transactions on Wireless Communications, Jahrgang 14, Nr. 4, 07.04.2015, S. 2322-2335.
DOI Download RIS ENW BIB
Holonomic Functions in Mathematica. / Koutschan, Christoph.
in: ACM Communications in Computer Algebra, Jahrgang 47, Nr. 4, 15.12.2013, S. 179-182.
DOI Website Download RIS ENW BIB
Irreducibility of q-difference operators and the knot 7_4. / Garoufalidis, Stavros; Koutschan, Christoph.
in: Algebraic and Geometric Topology, Jahrgang 13, Nr. 6, 10.10.2013, S. 3261-3286.
DOI Website Download RIS ENW BIB
Advanced Computer Algebra for Determinants. / Koutschan, Christoph; Thanatipanonda, Thotsaporn.
in: Annals of Combinatorics, Jahrgang 17, Nr. 3, 01.09.2013, S. 509-523.
DOI Website Download RIS ENW BIB
Harmonic interpolation based on Radon projections along the sides of regular polygons. / Georgieva, Irina; Hofreither, Clemens; Koutschan, Christoph et al.
in: Central European Journal of Mathematics, Jahrgang 11, Nr. 4, 01.04.2013, S. 609-620.
DOI Website Download RIS ENW BIB
Lattice Green's functions of the higher-dimensional face-centered cubic lattices. / Koutschan, Christoph.
in: Journal of Physics A: Mathematical and Theoretical, Jahrgang 46, Nr. 12, 29.03.2013, S. 125005.
DOI Website Download RIS ENW BIB

Non-minimality of minimal telescopers explained by residues. / Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph et al.
Proceedings of the International Symposium on Symbolic and Algebraic Computation. New York: ACM, 2025. S. 70-78.
DOI RIS ENW BIB
Using generating functions to prove additivity of gene-neighborhood based phylogenetics. / Katriel, Guy; Mahanaymi, Udi; Koutschan, Christoph et al.
Bioinformatics Research and Applications. Singapore: Springer Nature, 2023. S. 120-135 (Lecture Notes in Bioinformatics).
DOI Download RIS ENW BIB
Transcendence certificates for D-finite functions. / Kauers, Manuel; Koutschan, Christoph; Verron, Thibaut.
Proceedings of the International Symposium on Symbolic and Algebraic Computation. New York: ACM, 2023. S. 372-380.
DOI Download RIS ENW BIB
A unified approach to unimodality of Gaussian polynomials. / Koutschan, Christoph; Uncu, Ali; Wong, Elaine.
Proceedings of the International Symposium on Symbolic and Algebraic Computation. New York: ACM, 2023. S. 434-442.
DOI Website Download RIS ENW BIB
Unboundedness of Linear Regions of Deep ReLU Neural Networks. / Ponomarchuk, Anton; Koutschan, Christoph; Moser, Bernhard.
Database and Expert Systems Applications - DEXA 2022 Workshops. Springer, 2022. S. 3-10.
DOI Download RIS ENW BIB
Tessellation-Filtering ReLU Neural Networks. / Bernhard, A; Lewandowski, Michal; Kargaran, Somayeh et al.
International Joint Conference on Artificial Intelligence. Wien, 2022. S. 3335-3341.
DOI Download RIS ENW BIB
Guessing with little data. / Kauers, Manuel; Koutschan, Christoph.
Proceedings of the International Symposium on Symbolic and Algebraic Computation. New York: ACM, 2022. S. 83-90.
DOI Download RIS ENW BIB
Approximation of convex polygons by polygons. / Koutschan, Christoph; Ponomarchuk, Anton; Schicho, Josef.
23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC). IEEE, 2022. S. 91-98.
DOI Download RIS ENW BIB
Reduction-Based Creative Telescoping for Algebraic Functions. / Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph.
Proceedings of the International Symposium on Symbolic and Algebraic Computation. New York: ACM, 2016. S. 175-182.
DOI Website Download RIS ENW BIB
Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models. / Koutschan, Christoph; Ranetbauer, Helene; Regensburger, Georg et al.
17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC). IEEE Computer Society, Conference Publishing Services (CPS), 2015. S. 27-33.
DOI Download RIS ENW BIB
Integral D-Finite Functions. / Kauers, Manuel; Koutschan, Christoph.
Proceedings of the International Symposium on Symbolic and Algebraic Computation. New York: ACM, 2015. S. 251-258.
DOI Website Download RIS ENW BIB
A Generalized Apagodu-Zeilberger Algorithm. / Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph et al.
Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation. New York: ACM, 2014. S. 107-114.
DOI Website Download RIS ENW BIB

On potentials integrated by the Nikiforov-Uvarov method. / Ellis, Lina; Ellis, Ikumi; Koutschan, Christoph et al.
Applications and q-extensions of hypergeometric functions. Hrsg. / Howard S. Cohl; Roberto S. Costas-Santos; Robert S. Maier. Band 819 American Mathematical Society, 2025. S. 43-95 (Contemporary Mathematics).
DOI RIS ENW BIB
Holonomic anti-differentiation and Feynman amplitudes. / Koutschan, Christoph; Blümlein, Johannes (Herausgeber:in); Schneider, Carsten (Herausgeber:in).
Anti-Differentiation and the Calculation of Feynman Amplitudes. 2021. S. 261-277 (Texts & Monographs in Symbolic Computation).
DOI Website Download RIS ENW BIB
Exact Lower Bounds for Monochromatic Schur Triples and Generalizations. / Koutschan, Christoph; Wong, Elaine; Pillwein, Veronika (Herausgeber:in) et al.
Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra. 2020. S. 223-248 (Texts & Monographs in Symbolic Computation).
DOI Website Download RIS ENW BIB
Effective algebraic analysis approach to linear systems over Ore algebras. / Cluzeau, Thomas; Koutschan, Christoph; Quadrat, Alban et al.
Algebraic and Symbolic Computation Methods in Dynamical Systems. Springer, 2020. S. 3-52 (Advances in Delays and Dynamics).
DOI Website Download RIS ENW BIB
On the singular value decomposition of n-fold integration operators. / Ramlau, Ronny; Koutschan, Christoph; Hofmann, Bernd et al.
Inverse Problems and Related Topics. Singapore: Springer, 2020. S. 237-256 (Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 310)).
DOI Website Download RIS ENW BIB
Holonomic tools for basic hypergeometric functions. / Koutschan, Christoph; Paule, Peter; Nashed, Zuhair (Herausgeber:in) et al.
Frontiers in Orthogonal Polynomials and q-Series. World Scientific, 2018. S. 393-416.
DOI Website Download RIS ENW BIB
Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. / Koutschan, Christoph; Paule, Peter; Sergei, K et al.
Algebraic and Algorithmic Aspects of Differential and Integral Operators. Springer Berlin Heidelberg, 2014. S. 135-145 (Lecture Notes in Computer Science (vol. 8372)).
DOI Website Download RIS ENW BIB
Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order. / Gerhold, Stefan; Kauers, Manuel; Koutschan, Christoph et al.
Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions. Vienna: Springer, 2013. S. 75-96 (Texts & Monographs in Symbolic Computation).
DOI Website Download RIS ENW BIB
Creative Telescoping for Holonomic Functions. / Koutschan, Christoph; Schneider, Carsten (Herausgeber:in); Blümlein, Johannes (Herausgeber:in).
Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions. Vienna: Springer, 2013. S. 171-194 (Texts & Monographs in Symbolic Computation).
DOI Website Download RIS ENW BIB

The (symbolic and numeric) computational challenges of counting 0-1 balanced matrices. / Dougherty-Bliss, Robert; Koutschan, Christoph; Ter-Saakov, Natalya et al.
Linz, 2024. 9 S.
Download RIS ENW BIB
How to generate all possible rational Wilf-Zeilberger forms? / Chen, Shaoshi; Koutschan, Christoph; Wang, Yisen.
Linz, 2024. 22 S.
Download RIS ENW BIB
Quaternary Legendre pairs II. / Kotsireas, Ilias S.; Koutschan, Christoph; Winterhof, Arne.
Linz, 2024. 16 S.
Download RIS ENW BIB
Representing piecewise-linear functions by functions with minimal arity. / Koutschan, Christoph; Ponomarchuk, Anton; Schicho, Josef.
Linz, 2024. 12 S.
Download RIS ENW BIB
Determinant evaluations inspired by Di Francesco's determinant for twenty-vertex configurations. / Koutschan, Christoph; Krattenthaler, Christian; Schlosser, Michael.
Linz, 2024. 36 S.
Website Download RIS ENW BIB
Diagonally symmetric alternating sign matrices. / Roger, E; Fischer, Ilse; Koutschan, Christoph.
Linz, 2023.
Download RIS ENW BIB
Collisionless shock region of the KdV equation and an entry in Gradshteyn and Ryzhik. / Amdeberhan, Tewodros; Victor, H; Santander, John Lopez et al.
Linz, 2023.
Download RIS ENW BIB
A case study in determinant evaluations. / Amdeberhan, Tewodros; Koutschan, Christoph; Zeilberger, Doron.
Linz, 2023.
Download RIS ENW BIB
Some D-finite and some possibly D-finite sequences in the OEIS. / Kauers, Manuel; Koutschan, Christoph.
Linz, 2023.
Download RIS ENW BIB
On potentials integrated by the Nikiforov-Uvarov method. / Ellis, Lina; Ellis, Ikumi; Koutschan, Christoph et al.
Linz, 2023.
Download RIS ENW BIB
Representing piecewise linear functions by functions with small arity. / Koutschan, Christoph; Moser, Bernhard; Ponomarchuk, Anton et al.
Linz, 2023.
Download RIS ENW BIB
Transcendence certificates for D-finite functions. / Kauers, Manuel; Koutschan, Christoph; Verron, Thibaut.
Linz, 2023.
Download RIS ENW BIB
A unified approach to unimodality of Gaussian polynomials. / Koutschan, Christoph; Uncu, Ali; Wong, Elaine.
Linz, 2023.
Download RIS ENW BIB
A348456(4) = 7157114189. / Kauers, Manuel; Koutschan, Christoph; Spahn, George.
Linz, 2022.
Download RIS ENW BIB
Tessellation-Filtering ReLU Neural Networks. / Bernhard, A; Lewandowski, Michal; Kargaran, Somayeh et al.
Linz, 2022.
Download RIS ENW BIB
Unboundedness of Linear Regions of Deep ReLU Neural Networks. / Ponomarchuk, Anton; Koutschan, Christoph; Moser, Bernhard.
Linz, 2022.
Download RIS ENW BIB
Legendre pairs of lengths ℓ≡0 (mod 5) and ℓl=85, ℓ=87 cases. / Kotsireas, Ilias; Koutschan, Christoph; Bulutoglu, Dursun et al.
Linz, 2022.
Download RIS ENW BIB
Gene transfer-based phylogenetics: analytical expressions and additivity via birth-death theory. / Katriel, Guy; Mahanaymi, Udi; Koutschan, Christoph et al.
2022. 17 S.
Download RIS ENW BIB
Guessing with little data. / Kauers, Manuel; Koutschan, Christoph.
Linz, 2022.
Download RIS ENW BIB
Apéry limits for elliptic L-values. / Koutschan, Christoph; Zudilin, Wadim.
Linz, 2021.
Download RIS ENW BIB
Approximation of convex polygons by polygons. / Koutschan, Christoph; Ponomarchuk, Anton; Schicho, Josef.
Linz, 2021.
Download RIS ENW BIB
Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz. / Du, Hao; Koutschan, Christoph; Thanatipanonda, Thotsaporn et al.
Linz, 2021.
Download RIS ENW BIB
Tweaking the Beukers integrals in search of more miraculous irrationality proofs à la Apéry. / Dougherty-Bliss, Robert; Koutschan, Christoph; Zeilberger, Doron.
Linz, 2021. 21 S.
Download RIS ENW BIB
Legendre pairs of lengths l=0 (mod 3). / Kotsireas, Ilias; Koutschan, Christoph.
Linz, 2021. 16 S.
Download RIS ENW BIB
Holonomic anti-differentiation and Feynman amplitudes. / Koutschan, Christoph.
Linz, 2020. 15 S.
Download RIS ENW BIB
Creative Telescoping on Multiple Sums. / Koutschan, Christoph; Wong, Elaine.
Linz, 2020. 16 S.
Download RIS ENW BIB
Diagonals of rational functions: from differential algebra to effective algebraic geometry. / Abdelaziz, Youssef; Boukraa, Salah; Koutschan, Christoph et al.
Linz, 2020. 33 S.
Download RIS ENW BIB
On Christol's conjecture. / Abdelaziz, Youssef; Koutschan, Christoph; Maillard, Jean-Marie.
Linz, 2019. 13 S.
Download RIS ENW BIB
Calculation and properties of zonal polynomials. / Jiu, Lin; Koutschan, Christoph.
Linz, 2019. 17 S.
Download RIS ENW BIB
Heun functions and diagonals of rational functions. / Abdelaziz, Youssef; Boukraa, Salah; Koutschan, Christoph et al.
Linz, 2019. 21 S.
Download RIS ENW BIB
Exact Lower Bounds for Monochromatic Schur Triples and Generalizations. / Koutschan, Christoph; Wong, Elaine.
Linz, 2019. 24 S.
Download RIS ENW BIB
On the singular value decomposition of n-fold integration operators. / Ramlau, Ronny; Koutschan, Christoph; Hofmann, Bernd.
Linz, 2018. 19 S.
Download RIS ENW BIB
Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms. / Abdelaziz, Youssef; Boukraa, Salah; Koutschan, Christoph et al.
Linz, 2018. 29 S.
Download RIS ENW BIB
Echelons of power series and Gabrielov's counterexample to nested linear Artin approximation. / Mariemi, E; Francisco, J; Hauser, Herwig et al.
Linz, 2018.
Download RIS ENW BIB
Desingularization in the $q$-Weyl algebra. / Koutschan, Christoph; Zhang, Yi.
Linz, 2017.
Download RIS ENW BIB
Common factors in fraction-free matrix decompositions. / Middeke, Johannes; David, J; Koutschan, Christoph.
Linz, 2017. 20 S.
Download RIS ENW BIB
Lower bounds on the number of realizations of rigid graphs. / Grasegger, Georg; Koutschan, Christoph; Tsigaridas, Elias.
Linz, 2017. 22 S.
Download RIS ENW BIB
A curious family of binomial determinants that count rhombus tilings of a holey hexagon. / Koutschan, Christoph; Thanatipanonda, Thotsaporn.
Linz, 2017. 19 S.
Download RIS ENW BIB
Effective algebraic analysis approach to linear systems over Ore algebras. / Cluzeau, Thomas; Koutschan, Christoph; Quadrat, Alban et al.
Linz, 2017. 49 S.
Download RIS ENW BIB
The number of realizations of a Laman graph. / Capco, Jose; Gallet, Matteo; Grasegger, Georg et al.
Linz, 2017. 42 S.
Download RIS ENW BIB
Reduction-Based Creative Telescoping for Fuchsian D-finite Functions. / Chen, Shaoshi; van Hoeij, Mark; Kauers, Manuel et al.
Linz, 2016. 20 S.
Download RIS ENW BIB
Reduction-Based Creative Telescoping for Algebraic Functions. / Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph.
Linz, 2016. 8 S.
Download RIS ENW BIB
Holonomic Tools for Basic Hypergeometric Functions. / Koutschan, Christoph; Paule, Peter.
Linz, 2016. 19 S.
Download RIS ENW BIB
Exact ZF analysis and computer-algebra-aided evaluation in rank-1 LoS Rician fading. / Siriteanu, Constantin; Takemura, Akimichi; Koutschan, Christoph et al.
Linz, 2016. 32 S.
Download RIS ENW BIB
Lattice Green Functions: the d-dimensional face-centred cubic lattice, d = 8, 9, 10, 11, 12. / Hassani, Saoud; Koutschan, Christoph; Maillard, Jean-Marie et al.
Linz, 2016. 28 S.
Download RIS ENW BIB
Inverse Inequality Estimates with Symbolic Computation. / Koutschan, Christoph; Neumüller, Martin; Radu, Silviu.
Linz, 2016. 20 S.
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Proof of the Wilf-Zeilberger Conjecture. / Chen, Shaoshi; Koutschan, Christoph.
Linz, 2015. 18 S.
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Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models. / Koutschan, Christoph; Ranetbauer, Helene; Regensburger, Georg et al.
Linz, 2015. 7 S.
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Planar Linkages Following a Prescribed Motion. / Gallet, Matteo; Koutschan, Christoph; Li, Zijia et al.
Linz, 2015. 32 S.
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Integral D-Finite Functions. / Kauers, Manuel; Koutschan, Christoph.
Linz, 2015. 8 S.
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A Generalized Apagodu-Zeilberger Algorithm. / Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph.
Linz, 2014. 8 S.
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Creative Telescoping for Holonomic Functions. / Koutschan, Christoph.
Linz, 2013. 24 S.
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Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. / Koutschan, Christoph; Paule, Peter; Sergei, K.
Linz, 2013. 11 S.
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Irreducibility of q-difference operators and the knot 7_4. / Garoufalidis, Stavros; Koutschan, Christoph.
Linz, 2013. 20 S.
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OptanonAlertBoxClosed	Saves the state of your data protection consent.	364 days	missing translation: type.	OneTrust
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sp_landing	Tracks which page the user landed on within Spotify.	1 days	missing translation: type.	Spotify
sp_m	Stores the user’s market region (Spotify).	399 days	missing translation: type.	Spotify
sp_t	Session token used for Spotify playback and access.	365 days	missing translation: type.	Spotify

People

Christoph Koutschan

Christoph Koutschan

Biographical sketch

Former and Current Positions

Research interests

Publications

The number of realizations of all Laman graphs with at most 12 vertices

RICAM

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