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Christoph Koutschan
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- affiliation: Johannes Kepler University, Linz, Austria
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2020 – today
- 2024
- [i41]Shaoshi Chen, Christoph Koutschan, Yisen Wang:
How to generate all possible rational Wilf-Zeilberger forms? CoRR abs/2405.02430 (2024) - [i40]Christoph Koutschan, Anton Ponomarchuk, Josef Schicho:
Representing Piecewise-Linear Functions by Functions with Minimal Arity. CoRR abs/2406.02421 (2024) - 2023
- [c17]Guy Katriel, Udi Mahanaymi, Christoph Koutschan
, Doron Zeilberger, Mike A. Steel, Sagi Snir:
Using Generating Functions to Prove Additivity of Gene-Neighborhood Based Phylogenetics - Extended Abstract. ISBRA 2023: 120-135 - [c16]Manuel Kauers
Transcendence Certificates for D-finite Functions. ISSAC 2023: 372-380 - [c15]Christoph Koutschan
A Unified Approach to Unimodality of Gaussian Polynomials. ISSAC 2023: 434-442 - [i39]Christoph Koutschan, Ali Kemal Uncu, Elaine Wong:
A Unified Approach to Unimodality of Gaussian Polynomials. CoRR abs/2302.04067 (2023) - [i38]Manuel Kauers, Christoph Koutschan, Thibaut Verron:
Transcendence Certificates for D-finite Functions. CoRR abs/2302.06396 (2023) - [i37]Manuel Kauers, Christoph Koutschan:
Some D-finite and some Possibly D-finite Sequences in the OEIS. CoRR abs/2303.02793 (2023) - [i36]Christoph Koutschan, Bernhard Moser, Anton Ponomarchuk, Josef Schicho:
Representing Piecewise Linear Functions by Functions with Small Arity. CoRR abs/2305.16933 (2023) - 2022
- [j27]Hao Du, Christoph Koutschan
Binomial determinants for tiling problems yield to the holonomic ansatz. Eur. J. Comb. 99: 103437 (2022) - [j26]Youssef Abdelaziz, Salah Boukraa
Diagonals of Rational Functions: From Differential Algebra to Effective Algebraic Geometry. Symmetry 14(7): 1297 (2022) - [c14]Anton Ponomarchuk, Christoph Koutschan
Unboundedness of Linear Regions of Deep ReLU Neural Networks. DEXA Workshops 2022: 3-10 - [c13]Bernhard Alois Moser, Michal Lewandowski, Somayeh Kargaran, Werner Zellinger, Battista Biggio, Christoph Koutschan
Tessellation-Filtering ReLU Neural Networks. IJCAI 2022: 3335-3341 - [c12]Manuel Kauers, Christoph Koutschan
Guessing with Little Data. ISSAC 2022: 83-90 - [i35]Manuel Kauers, Christoph Koutschan
Guessing with Little Data. CoRR abs/2202.07966 (2022) - 2021
- [j25]Christoph Koutschan
Creative Telescoping on Multiple Sums. Math. Comput. Sci. 15(3): 483-498 (2021) - [j24]Johannes Middeke
Common Factors in Fraction-Free Matrix Decompositions. Math. Comput. Sci. 15(4): 589-608 (2021) - [c11]Christoph Koutschan
Approximation of convex polygons by polygons. SYNASC 2021: 91-98 - [c10]Christoph Koutschan:
Realizations of Rigid Graphs. ADG 2021: 4-13 - [i34]Shalosh B. Ekhad, Christoph Koutschan
There are EXACTLY 1493804444499093354916284290188948031229880469556 Ways to Derange a Standard Deck of Cards (ignoring suits) [and many other such useful facts]. CoRR abs/2101.10147 (2021) - [i33]Hao Du, Christoph Koutschan
Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz. CoRR abs/2105.08539 (2021) - 2020
- [j23]Georg Grasegger
Lower Bounds on the Number of Realizations of Rigid Graphs. Exp. Math. 29(2): 125-136 (2020) - [j22]Lin Jiu
Calculation and Properties of Zonal Polynomials. Math. Comput. Sci. 14(3): 623-640 (2020) - [i32]Christoph Koutschan
Creative Telescoping on Multiple Sums. CoRR abs/2010.08889 (2020)
2010 – 2019
- 2019
- [j21]Christoph Koutschan
A curious family of binomial determinants that count rhombus tilings of a holey hexagon. J. Comb. Theory A 166: 352-381 (2019) - [j20]Shaoshi Chen, Christoph Koutschan
Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms. J. Symb. Comput. 93: 133-147 (2019) - [j19]Michel Beaudin, Thierry N. Dana-Picard, Alexander B. Levin, Christoph Koutschan, Ilias S. Kotsireas, Daniel Robertz:
Foreword. Math. Comput. Sci. 13(1-2): 1-3 (2019) - [i31]Christoph Koutschan
Exact Lower Bounds for Monochromatic Schur Triples and Generalizations. CoRR abs/1904.01925 (2019) - 2018
- [j18]Christoph Koutschan
Desingularization in the q-Weyl algebra. Adv. Appl. Math. 97: 80-101 (2018) - [j17]Shaoshi Chen, Mark van Hoeij, Manuel Kauers, Christoph Koutschan
Reduction-based creative telescoping for fuchsian D-finite functions. J. Symb. Comput. 85: 108-127 (2018) - [j16]Jose Capco
The Number of Realizations of a Laman Graph. SIAM J. Appl. Algebra Geom. 2(1): 94-125 (2018) - [i30]Christoph Koutschan
Desingularization in the q-Weyl algebra. CoRR abs/1801.04160 (2018) - 2017
- [j15]Jose Capco
Computing the number of realizations of a Laman graph. Electron. Notes Discret. Math. 61: 207-213 (2017) - [j14]Matteo Gallet
Planar linkages following a prescribed motion. Math. Comput. 86(303): 473-506 (2017) - [i29]Jose Capco, Matteo Gallet, Georg Grasegger, Christoph Koutschan
The number of realizations of a Laman graph. CoRR abs/1701.05500 (2017) - [i28]Jose Capco, Matteo Gallet, Georg Grasegger, Christoph Koutschan
Computing the number of realizations of a Laman graph. CoRR abs/1707.03633 (2017) - [i27]Christoph Koutschan
A Curious Family of Binomial Determinants That Count Rhombus Tilings of a Holey Hexagon. CoRR abs/1709.02616 (2017) - [i26]Georg Grasegger, Christoph Koutschan
Lower bounds on the number of realizations of rigid graphs. CoRR abs/1710.08237 (2017) - 2016
- [j13]Christoph Koutschan
Inverse inequality estimates with symbolic computation. Adv. Appl. Math. 80: 1-23 (2016) - [j12]Christoph Koutschan
Motion polynomials and planar linkages. ACM Commun. Comput. Algebra 50(3): 109-112 (2016) - [j11]Constantin Costi Siriteanu, Akimichi Takemura, Christoph Koutschan
Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading. IEEE Trans. Wirel. Commun. 15(8): 5245-5259 (2016) - [c9]Shaoshi Chen, Manuel Kauers, Christoph Koutschan
Reduction-Based Creative Telescoping for Algebraic Functions. ISSAC 2016: 175-182 - [i25]Shaoshi Chen, Manuel Kauers, Christoph Koutschan
Reduction-Based Creative Telescoping for Algebraic Functions. CoRR abs/1602.00424 (2016) - [i24]Christoph Koutschan
Holonomic Tools for Basic Hypergeometric Functions. CoRR abs/1602.00454 (2016) - [i23]Christoph Koutschan
Inverse Inequality Estimates with Symbolic Computation. CoRR abs/1602.01304 (2016) - [i22]Shaoshi Chen, Mark van Hoeij, Manuel Kauers, Christoph Koutschan
Reduction-Based Creative Telescoping for Fuchsian D-finite Functions. CoRR abs/1611.07421 (2016) - 2015
- [j10]Christoph Koutschan, Erwin Suazo, Sergei K. Suslov:
Multi-parameter laser modes in paraxial optics. ACM Commun. Comput. Algebra 49(1): 33 (2015) - [j9]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): 2322-2335 (2015) - [c8]Manuel Kauers, Christoph Koutschan
Integral D-Finite Functions. ISSAC 2015: 251-258 - [c7]Christoph Koutschan
Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models. SYNASC 2015: 27-33 - [i21]Manuel Kauers, Christoph Koutschan
Integral D-Finite Functions. CoRR abs/1501.03691 (2015) - [i20]Matteo Gallet, Christoph Koutschan
Planar Linkages Following a Prescribed Motion. CoRR abs/1502.05623 (2015) - [i19]Christoph Koutschan
Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models. CoRR abs/1506.08527 (2015) - [i18]Shaoshi Chen, Christoph Koutschan
Proof of the Wilf-Zeilberger Conjecture. CoRR abs/1507.04840 (2015) - [i17]Constantin Siriteanu, Akimichi Takemura, Christoph Koutschan
Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading. CoRR abs/1507.07056 (2015) - 2014
- [c6]Shaoshi Chen, Manuel Kauers, Christoph Koutschan
A generalized Apagodu-Zeilberger algorithm. ISSAC 2014: 107-114 - [i16]Shaoshi Chen, Manuel Kauers, Christoph Koutschan
A Generalized Apagodu-Zeilberger Algorithm. CoRR abs/1402.2409 (2014) - 2013
- [j8]Christoph Koutschan
Holonomic functions in mathematica. ACM Commun. Comput. Algebra 47(3/4): 179-182 (2013) - [i15]Stefan Gerhold, Manuel Kauers, Christoph Koutschan
Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order. CoRR abs/1305.4818 (2013) - [i14]Christoph Koutschan
Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. CoRR abs/1306.1362 (2013) - [i13]Christoph Koutschan
Creative Telescoping for Holonomic Functions. CoRR abs/1307.4554 (2013) - 2012
- [j7]Herwig Hauser, Christoph Koutschan
Multivariate linear recurrences and power series division. Discret. Math. 312(24): 3553-3560 (2012) - [j6]Stavros Garoufalidis
The Noncommutative A-Polynomial of (-2, 3, n) Pretzel Knots. Exp. Math. 21(3): 241-251 (2012) - [c5]Christoph Koutschan
Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. AADIOS 2012: 135-145 - [c4]Stavros Garoufalidis
Twisting q-holonomic sequences by complex roots of unity. ISSAC 2012: 179-186 - [c3]Masao Ishikawa, Christoph Koutschan
Zeilberger's holonomic ansatz for Pfaffians. ISSAC 2012: 227-233 - [i12]Stavros Garoufalidis, Christoph Koutschan
Twisting q-holonomic sequences by complex roots of unity. CoRR abs/1201.3353 (2012) - [i11]Masao Ishikawa, Christoph Koutschan
Zeilberger's Holonomic Ansatz for Pfaffians. CoRR abs/1201.5253 (2012) - [i10]Stavros Garoufalidis, Christoph Koutschan
Irreducibility of q-difference operators and the knot 7_4. CoRR abs/1211.6020 (2012) - 2011
- [j5]Stavros Garoufalidis
The sl3 Jones polynomial of the trefoil: A case study of q-holonomic sequences. Adv. Appl. Math. 47(4): 829-839 (2011) - [c2]Viktor Levandovskyy, Christoph Koutschan
On Two-Generated Non-commutative Algebras Subject to the Affine Relation. CASC 2011: 309-320 - [c1]Frédéric Chyzak, James H. Davenport
On Kahan's Rules for Determining Branch Cuts. SYNASC 2011: 47-51 - [i9]Christoph Koutschan
Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations. CoRR abs/1104.4208 (2011) - [i8]Christoph Koutschan
On Two-generated Non-commutative Algebras Subject to the Affine Relation. CoRR abs/1108.1108 (2011) - [i7]Christoph Koutschan
Lattice Green's Functions of the Higher-Dimensional Face-Centered Cubic Lattices. CoRR abs/1108.2164 (2011) - [i6]Frédéric Chyzak, James H. Davenport, Christoph Koutschan
On Kahan's Rules for Determining Branch Cuts. CoRR abs/1109.2809 (2011) - [i5]Christoph Koutschan
Advanced Computer Algebra for Determinants. CoRR abs/1112.0647 (2011) - 2010
- [j4]Christoph Koutschan
A Fast Approach to Creative Telescoping. Math. Comput. Sci. 4(2-3): 259-266 (2010) - [i4]Christoph Koutschan
Proof of George Andrews's and David Robbins's q-TSPP Conjecture. CoRR abs/1002.4384 (2010) - [i3]Christoph Koutschan
A Fast Approach to Creative Telescoping. CoRR abs/1004.3314 (2010) - [i2]Christoph Koutschan
The 1958 Pekeris-Accad-WEIZAC Ground-Breaking Collaboration that computed Ground States of Two-Electron Atoms (and its 2010 Redux). CoRR abs/1006.0200 (2010)
2000 – 2009
- 2009
- [j3]Christoph Koutschan
Advanced applications of the holonomic systems approach. ACM Commun. Comput. Algebra 43(3/4): 119 (2009) - [i1]Christoph Koutschan
Eliminating Human Insight: An Algorithmic Proof of Stembridge's TSPP Theorem. CoRR abs/0906.1018 (2009) - 2008
- [j2]Christoph Koutschan, Viktor Levandovskyy:
Computing one of Victor Moll's irresistible integrals with computer algebra. Comput. Sci. J. Moldova 16(1): 35-49 (2008) - [j1]Christoph Koutschan
Regular languages and their generating functions: The inverse problem. Theor. Comput. Sci. 391(1-2): 65-74 (2008)
Coauthor Index
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