Christoph Koutschan

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 46

Top Topics

Piecewise Linear Functions

Algebraic Geometry

Top Venues

Math. Comput. Sci.

Adv. Appl. Math.

Publications

Christoph Koutschan, Anton Ponomarchuk, Josef Schicho
Representing Piecewise-Linear Functions by Functions with Minimal Arity. CoRR (2024)
Shaoshi Chen, Christoph Koutschan, Yisen Wang
How to generate all possible rational Wilf-Zeilberger forms? CoRR (2024)
Christoph Koutschan, Bernhard Moser, Anton Ponomarchuk, Josef Schicho
Representing Piecewise Linear Functions by Functions with Small Arity. CoRR (2023)
Manuel Kauers, Christoph Koutschan
Some D-finite and some Possibly D-finite Sequences in the OEIS. CoRR (2023)
Manuel Kauers, Christoph Koutschan, Thibaut Verron
Transcendence Certificates for D-finite Functions. ISSAC (2023)
Manuel Kauers, Christoph Koutschan, Thibaut Verron
Transcendence Certificates for D-finite Functions. CoRR (2023)
Christoph Koutschan, Ali K. Uncu, Elaine Wong
A Unified Approach to Unimodality of Gaussian Polynomials. CoRR (2023)
Christoph Koutschan, Ali Kemal Uncu, Elaine Wong
A Unified Approach to Unimodality of Gaussian Polynomials. ISSAC (2023)
Guy Katriel, Udi Mahanaymi, Christoph Koutschan, Doron Zeilberger, Mike Steel, Sagi Snir
Using Generating Functions to Prove Additivity of Gene-Neighborhood Based Phylogenetics - Extended Abstract. ISBRA (2023)
Manuel Kauers, Christoph Koutschan
Guessing with Little Data. CoRR (2022)
Anton Ponomarchuk, Christoph Koutschan, Bernhard Moser
Unboundedness of Linear Regions of Deep ReLU Neural Networks. DEXA Workshops (2022)
Youssef Abdelaziz, Salah Boukraa, Christoph Koutschan, Jean-Marie Maillard
Diagonals of Rational Functions: From Differential Algebra to Effective Algebraic Geometry. Symmetry 14 (7) (2022)
Christoph Koutschan
Realizations of Rigid Graphs. CoRR (2022)
Manuel Kauers, Christoph Koutschan
Guessing with Little Data. ISSAC (2022)
Hao Du, Christoph Koutschan, Thotsaporn Thanatipanonda, Elaine Wong
Binomial determinants for tiling problems yield to the holonomic ansatz. Eur. J. Comb. 99 (2022)
Bernhard Alois Moser, Michal Lewandowski, Somayeh Kargaran, Werner Zellinger, Battista Biggio, Christoph Koutschan
Tessellation-Filtering ReLU Neural Networks. IJCAI (2022)
Johannes Middeke, David J. Jeffrey, Christoph Koutschan
Common Factors in Fraction-Free Matrix Decompositions. Math. Comput. Sci. 15 (4) (2021)
Hao Du, Christoph Koutschan, Thotsaporn Thanatipanonda, Elaine Wong
Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz. CoRR (2021)
Shalosh B. Ekhad, Christoph Koutschan, Doron Zeilberger
There are EXACTLY 1493804444499093354916284290188948031229880469556 Ways to Derange a Standard Deck of Cards (ignoring suits) [and many other such useful facts]. CoRR (2021)
Christoph Koutschan, Elaine Wong
Creative Telescoping on Multiple Sums. Math. Comput. Sci. 15 (3) (2021)
Christoph Koutschan, Anton Ponomarchuk, Josef Schicho
Approximation of convex polygons by polygons. SYNASC (2021)
Lin Jiu, Christoph Koutschan
Calculation and Properties of Zonal Polynomials. Math. Comput. Sci. 14 (3) (2020)
Georg Grasegger, Christoph Koutschan, Elias P. Tsigaridas
Lower Bounds on the Number of Realizations of Rigid Graphs. Exp. Math. 29 (2) (2020)
Christoph Koutschan, Elaine Wong
Creative Telescoping on Multiple Sums. CoRR (2020)
Christoph Koutschan, Elaine Wong
Exact Lower Bounds for Monochromatic Schur Triples and Generalizations. CoRR (2019)
Christoph Koutschan, Thotsaporn Thanatipanonda
A curious family of binomial determinants that count rhombus tilings of a holey hexagon. J. Comb. Theory, Ser. A 166 (2019)
Shaoshi Chen, Christoph Koutschan
Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms. J. Symb. Comput. 93 (2019)
Michel Beaudin, Thierry N. Dana-Picard, Alexander B. Levin, Christoph Koutschan, Ilias S. Kotsireas, Daniel Robertz
Foreword. Math. Comput. Sci. 13 (1-2) (2019)
Christoph Koutschan, Yi Zhang
-Weyl algebra. Adv. Appl. Math. 97 (2018)
Christoph Koutschan, Yi Zhang
Desingularization in the q-Weyl algebra. CoRR (2018)
Jose Capco, Matteo Gallet, Georg Grasegger, Christoph Koutschan, Niels Lubbes, Josef Schicho
The Number of Realizations of a Laman Graph. SIAM J. Appl. Algebra Geom. 2 (1) (2018)
Shaoshi Chen, Mark van Hoeij, Manuel Kauers, Christoph Koutschan
Reduction-based creative telescoping for fuchsian D-finite functions. J. Symb. Comput. 85 (2018)
Jose Capco, Matteo Gallet, Georg Grasegger, Christoph Koutschan, Niels Lubbes, Josef Schicho
The number of realizations of a Laman graph. CoRR (2017)
Matteo Gallet, Christoph Koutschan, Zijia Li, Georg Regensburger, Josef Schicho, Nelly Villamizar
Planar linkages following a prescribed motion. Math. Comput. 86 (303) (2017)
Christoph Koutschan, Thotsaporn Thanatipanonda
A Curious Family of Binomial Determinants That Count Rhombus Tilings of a Holey Hexagon. CoRR (2017)
Georg Grasegger, Christoph Koutschan, Elias P. Tsigaridas
Lower bounds on the number of realizations of rigid graphs. CoRR (2017)
Jose Capco, Matteo Gallet, Georg Grasegger, Christoph Koutschan, Niels Lubbes, Josef Schicho
Computing the number of realizations of a Laman graph. Electron. Notes Discret. Math. 61 (2017)
Jose Capco, Matteo Gallet, Georg Grasegger, Christoph Koutschan, Niels Lubbes, Josef Schicho
Computing the number of realizations of a Laman graph. CoRR (2017)
Constantin Costi Siriteanu, Akimichi Takemura, Christoph Koutschan, Satoshi Kuriki, Donald St. P. Richards, Hyundong Shin
Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading. IEEE Trans. Wirel. Commun. 15 (8) (2016)
Christoph Koutschan, Peter Paule
Holonomic Tools for Basic Hypergeometric Functions. CoRR (2016)
Shaoshi Chen, Manuel Kauers, Christoph Koutschan
Reduction-Based Creative Telescoping for Algebraic Functions. CoRR (2016)
Shaoshi Chen, Mark van Hoeij, Manuel Kauers, Christoph Koutschan
Reduction-Based Creative Telescoping for Fuchsian D-finite Functions. CoRR (2016)
Christoph Koutschan
Motion polynomials and planar linkages. ACM Commun. Comput. Algebra 50 (3) (2016)
Christoph Koutschan, Martin Neumüller, Cristian-Silviu Radu
Inverse inequality estimates with symbolic computation. Adv. Appl. Math. 80 (2016)
Christoph Koutschan, Martin Neumüller, Silviu Radu
Inverse Inequality Estimates with Symbolic Computation. CoRR (2016)
Shaoshi Chen, Manuel Kauers, Christoph Koutschan
Reduction-Based Creative Telescoping for Algebraic Functions. ISSAC (2016)
Manuel Kauers, Christoph Koutschan
Integral D-Finite Functions. ISSAC (2015)
Christoph Koutschan, Helene Ranetbauer, Georg Regensburger, Marie-Therese Wolfram
Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models. SYNASC (2015)
Constantin Siriteanu, Akimichi Takemura, Satoshi Kuriki, Hyundong Shin, Christoph Koutschan
MIMO Zero-Forcing Performance Evaluation Using the Holonomic Gradient Method. IEEE Trans. Wirel. Commun. 14 (4) (2015)
Matteo Gallet, Christoph Koutschan, Zijia Li, Georg Regensburger, Josef Schicho, Nelly Villamizar
Planar Linkages Following a Prescribed Motion. CoRR (2015)
Christoph Koutschan, Erwin Suazo, Sergei K. Suslov
Multi-parameter laser modes in paraxial optics. ACM Commun. Comput. Algebra 49 (1) (2015)
Manuel Kauers, Christoph Koutschan
Integral D-Finite Functions. CoRR (2015)
Christoph Koutschan, Helene Ranetbauer, Georg Regensburger, Marie-Therese Wolfram
Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models. CoRR (2015)
Constantin Siriteanu, Akimichi Takemura, Christoph Koutschan, Satoshi Kuriki, Donald St. P. Richards, Hyundong Shin
Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading. CoRR (2015)
Shaoshi Chen, Christoph Koutschan
Proof of the Wilf-Zeilberger Conjecture. CoRR (2015)
Shaoshi Chen, Manuel Kauers, Christoph Koutschan
A generalized Apagodu-Zeilberger algorithm. ISSAC (2014)
Shaoshi Chen, Manuel Kauers, Christoph Koutschan
A Generalized Apagodu-Zeilberger Algorithm. CoRR (2014)
Stefan Gerhold, Manuel Kauers, Christoph Koutschan, Peter Paule, Carsten Schneider, Burkhard Zimmermann
Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order CoRR (2013)
Christoph Koutschan
Holonomic functions in mathematica. ACM Commun. Comput. Algebra 47 (3/4) (2013)
Christoph Koutschan
Creative Telescoping for Holonomic Functions. CoRR (2013)
Christoph Koutschan, Peter Paule, Sergei K. Suslov
Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. CoRR (2013)
Stavros Garoufalidis, Christoph Koutschan
) Pretzel Knots. Exp. Math. 21 (3) (2012)
Stavros Garoufalidis, Christoph Koutschan
Twisting q-holonomic sequences by complex roots of unity CoRR (2012)
Herwig Hauser, Christoph Koutschan
Multivariate linear recurrences and power series division. Discret. Math. 312 (24) (2012)
Masao Ishikawa, Christoph Koutschan
Zeilberger's holonomic ansatz for Pfaffians. ISSAC (2012)
Masao Ishikawa, Christoph Koutschan
Zeilberger's Holonomic Ansatz for Pfaffians CoRR (2012)
Christoph Koutschan, Peter Paule, Sergei K. Suslov
Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. AADIOS (2012)
Stavros Garoufalidis, Christoph Koutschan
Twisting q-holonomic sequences by complex roots of unity. ISSAC (2012)
Stavros Garoufalidis, Christoph Koutschan
Irreducibility of q-difference operators and the knot 7_4 CoRR (2012)
Stavros Garoufalidis, Christoph Koutschan
-holonomic sequences. Adv. Appl. Math. 47 (4) (2011)
Christoph Koutschan, Thotsaporn "Aek" Thanatipanonda
Advanced Computer Algebra for Determinants CoRR (2011)
Frédéric Chyzak, James H. Davenport, Christoph Koutschan, Bruno Salvy
On Kahan's Rules for Determining Branch Cuts CoRR (2011)
Viktor Levandovskyy, Christoph Koutschan, Oleksandr Motsak
On Two-Generated Non-commutative Algebras Subject to the Affine Relation. CASC (2011)
Christoph Koutschan, Viktor Levandovskyy, Oleksandr Motsak
On Two-generated Non-commutative Algebras Subject to the Affine Relation CoRR (2011)
Frédéric Chyzak, James H. Davenport, Christoph Koutschan, Bruno Salvy
On Kahan's Rules for Determining Branch Cuts. SYNASC (2011)
Christoph Koutschan, Christoph Lehrenfeld, Joachim Schöberl
Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations CoRR (2011)
Christoph Koutschan
Lattice Green's Functions of the Higher-Dimensional Face-Centered Cubic Lattices CoRR (2011)
Christoph Koutschan
A Fast Approach to Creative Telescoping. Math. Comput. Sci. 4 (2-3) (2010)
Christoph Koutschan, Manuel Kauers, Doron Zeilberger
Proof of George Andrews's and David Robbins's q-TSPP Conjecture. CoRR (2010)
Christoph Koutschan
A Fast Approach to Creative Telescoping CoRR (2010)
Christoph Koutschan, Doron Zeilberger
The 1958 Pekeris-Accad-WEIZAC Ground-Breaking Collaboration that computed Ground States of Two-Electron Atoms (and its 2010 Redux) CoRR (2010)
Christoph Koutschan
Advanced applications of the holonomic systems approach. ACM Commun. Comput. Algebra 43 (3/4) (2009)
Christoph Koutschan
Eliminating Human Insight: An Algorithmic Proof of Stembridge's TSPP Theorem CoRR (2009)
Christoph Koutschan, Viktor Levandovskyy
Computing one of Victor Moll's irresistible integrals with computer algebra. Comput. Sci. J. Moldova 16 (1) (2008)
Christoph Koutschan
Regular languages and their generating functions: The inverse problem. Theor. Comput. Sci. 391 (1-2) (2008)