Priv.-Doz. Dr. Christoph Koutschan

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Christoph Koutschan

Peer Reviewed Journal Publication
  • Alonso, Mariemi E.; Castro-Jimenez, Francisco J.; Hauser, Herwig; Koutschan, Christoph (2018) Echelons of power series and Gabrielov's counterexample to nested linear Artin approximation. Bulletin of the London Mathematical Society, Bd. 50 (4), S. 649-662. (link)
  • Chen, Shaoshi; Koutschan, Christoph (2018) Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms. Journal of Symbolic Computation, Bd. to appear, S. ?-?. (link)
  • Koutschan, Christoph; Zhang, Yi (2018) Desingularization in the q-Weyl algebra. Advances in Applied Mathematics, Bd. 97, S. 80-101. (link)
  • Grasegger, Georg; Koutschan, Christoph; Tsigaridas, Elias (2018) Lower bounds on the number of realizations of rigid graphs. Experimental Mathematics, Bd. to appear, S. ?-?. (link)
  • Chen, Shaoshi; Hoeij, Mark van; Kauers, Manuel; Koutschan, Christoph (2018, online: 2017) Reduction-based creative telescoping for fuchsian D-finite functions. Journal of Symbolic Computation, Bd. 85, S. 108-127. (link)
  • Capco, Jose; Gallet, Matteo; Grasegger, Georg; Koutschan, Christoph; Lubbes, Niels et al. [..] (2018) The number of realizations of a Laman graph. SIAM Journal on Applied Algebra and Geometry, Bd. 2 (1), S. 94-125. (link)
  • Capco, Jose; Gallet, Matteo; Grasegger, Georg; Koutschan, Christoph; Lubbes, Niels et al. [..] (2017) Computing the number of realizations of a Laman graph. Electronic Notes in Discrete Mathematics, Bd. 61, S. 207-213. (link)
  • Gallet, Matteo; Koutschan, Christoph; Li, Zijia; Regensburger, Georg; Schicho, Josef et al. [..] (2017, online: 2016) Planar Linkages Following a Prescribed Motion. Mathematics of Computation, Bd. 86, S. 473-506. (link)
  • Koutschan, Christoph (2016) Motion polynomials and planar linkages. ACM Communications in Computer Algebra, Bd. 50 (3), S. 109-112. (link)
  • Koutschan, Christoph; Neumüller, Martin; Radu, Silviu (2016, online: 2016) Inverse Inequality Estimates with Symbolic Computation. Advances in Applied Mathematics, Bd. 80, S. 1-23. (link)
  • Siriteanu, Constantin; Takemura, Akimichi; Koutschan, Christoph; Kuriki, Satoshi; Richards, Donald St. P. et al. [..] (2016, online: 2016) Exact ZF analysis and computer-algebra-aided evaluation in rank-1 LoS Rician fading. IEEE Transactions on Wireless Communications, Bd. 15 (8), S. 5245-5259. (link)
  • Hassani, Saoud; Koutschan, Christoph; Maillard, Jean-Marie; Zenine, Nadjah (2016, online: 2016) Lattice Green Functions: the d-dimensional face-centred cubic lattice, d = 8, 9, 10, 11, 12. Journal of Physics A: Mathematical and Theoretical, Bd. 49 (16), S. 164003. (link)
  • Koutschan, Christoph; Suazo, Erwin; Suslov, Sergei K. (2015, online: 2015) Fundamental laser modes in paraxial optics: from computer algebra and simulations to experimental observation. Applied Physics B: Lasers and Optics, Bd. 121 (3), S. 315-336. (link)
  • Siriteanu, Constantin; Takemura, Akimichi; Kuriki, Satoshi; Shin, Hyundong; Koutschan, Christoph (2015, online: 2014) MIMO Zero-Forcing Performance Evaluation Using the Holonomic Gradient Method. IEEE Transactions on Wireless Communications, Bd. 14 (4), S. 2322-2335. (link)
  • Koutschan, Christoph (2013) Holonomic Functions in Mathematica. ACM Communications in Computer Algebra, Bd. 47 (4), S. 179-182 . (link)
  • Garoufalidis, Stavros; Koutschan, Christoph (2013) Irreducibility of q-difference operators and the knot 7_4. Algebraic & Geometric Topology, Bd. 13 (6), S. 3261-3286 . (link)
  • Koutschan, Christoph; Thanatipanonda, Thotsaporn (2013, online: 2013) Advanced Computer Algebra for Determinants. Annals of Combinatorics, Bd. 17 (3), S. 509-523 . (link)
  • Georgieva, Irina; Hofreither, Clemens; Koutschan, Christoph; Pillwein, Veronika; Thanatipanonda, Thotsaporn (2013) Harmonic interpolation based on Radon projections along the sides of regular polygons. Central European Journal of Mathematics, Bd. 11 (4), S. 609-620 . (link)
  • Koutschan, Christoph (2013, online: 2013) Lattice Green's functions of the higher-dimensional face-centered cubic lattices. Journal of Physics A: Mathematical and Theoretical, Bd. 46 (12), S. 125005 . (link)

Conference Contribution: Publication in Proceedings
  • Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph (2016, online: 2016) Reduction-Based Creative Telescoping for Algebraic Functions., Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC 2016); New York: ACM, S. 175-182. (link)
  • Koutschan, Christoph; Ranetbauer, Helene; Regensburger, Georg; Wolfram, Marie-Therese (2015) Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models., 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC): IEEE Computer Society, Conference Publishing Services (CPS), S. 27-33. (link)
  • Kauers, Manuel; Koutschan, Christoph (2015, online: 2015) Integral D-Finite Functions., Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC 2015); New York: ACM, S. 251-258. (link)
  • Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph (2014, online: 2014) A Generalized Apagodu-Zeilberger Algorithm. In: Nabeshima, Katsusuke (Hrsg.), Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation (ISSAC 2014); New York: ACM, S. 107-114 . (link)

Contribution in Collection
  • Koutschan, Christoph; Paule, Peter (2018) Holonomic tools for basic hypergeometric functions. In: Nashed, Zuhair; Li, Xin (Hrsg.), Frontiers in Orthogonal Polynomials and q-Series: World Scientific, S. 393-416. (link)
  • Koutschan, Christoph; Paule, Peter; Suslov, Sergei K. (2014, online: 2014) Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. In: Barkatou, Moulay; Cluzeau, Thomas; Regensburger, Georg; Rosenkranz, Markus (Hrsg.), Algebraic and Algorithmic Aspects of Differential and Integral Operators: Springer Berlin Heidelberg, S. 135-145 . (link)
  • Koutschan, Christoph (2013, online: 2013) Creative Telescoping for Holonomic Functions. In: Schneider, Carsten; Blümlein, Johannes (Hrsg.), Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions; Vienna: Springer, S. 171-194 . (link)
  • Gerhold, Stefan; Kauers, Manuel; Koutschan, Christoph; Paule, Peter; Schneider, Carsten et al. [..] (2013, online: 2013) Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order. In: Schneider, Carsten; Blümlein, Johannes (Hrsg.), Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions; Vienna: Springer, S. 75-96 . (link)

Habilitation
  • Koutschan, Christoph (2017) Quod Erat Demonstrandum: Proofs by Computer.

Research Report
  • Abdelaziz, Youssef; Boukraa, Salah; Koutschan, Christoph; Maillard, Jean-Marie (2018) Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms. Bericht-Nr. 2018-14; RICAM: Linz. (link)
  • Alonso, Mariemi E.; Castro-Jimenez, Francisco J.; Hauser, Herwig; Koutschan, Christoph (2018) Echelons of power series and Gabrielov's counterexample to nested linear Artin approximation. Bericht-Nr. 2018-12; RICAM: Linz. (link)
  • Koutschan, Christoph; Zhang, Yi (2017) Desingularization in the $q$-Weyl algebra. Bericht-Nr. 2017-47; RICAM: Linz. (link)
  • Middeke, Johannes; Jeffrey, David J.; Koutschan, Christoph (2017) Common factors in fraction-free matrix decompositions. Bericht-Nr. 2017-42; RICAM: Linz. (link)
  • Grasegger, Georg; Koutschan, Christoph; Tsigaridas, Elias (2017) Lower bounds on the number of realizations of rigid graphs. Bericht-Nr. 2017-35; RICAM: Linz. (link)
  • Koutschan, Christoph; Thanatipanonda, Thotsaporn (2017) A curious family of binomial determinants that count rhombus tilings of a holey hexagon. Bericht-Nr. 2017-30; RICAM: Linz. (link)
  • Cluzeau, Thomas; Koutschan, Christoph; Quadrat, Alban; Tonso, Maris (2017, online: 2017) Effective algebraic analysis approach to linear systems over Ore algebras. Bericht-Nr. 2017-12; RICAM: Linz. (link)
  • Capco, Jose; Gallet, Matteo; Grasegger, Georg; Koutschan, Christoph; Lubbes, Niels et al. [..] (2017, online: 2017) The number of realizations of a Laman graph. Bericht-Nr. 2017-03; RICAM: Linz. (link)
  • Chen, Shaoshi; Hoeij, Mark van; Kauers, Manuel; Koutschan, Christoph (2016, online: 2016) Reduction-Based Creative Telescoping for Fuchsian D-finite Functions. Bericht-Nr. 2016-39; RICAM: Linz. (link)
  • Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph (2016, online: 2016) Reduction-Based Creative Telescoping for Algebraic Functions. Bericht-Nr. 2016-15; RICAM: Linz. (link)
  • Koutschan, Christoph; Paule, Peter (2016, online: 2016) Holonomic Tools for Basic Hypergeometric Functions. Bericht-Nr. 2016-07; RICAM: Linz. (link)
  • Siriteanu, Constantin; Takemura, Akimichi; Koutschan, Christoph; Kuriki, Satoshi; Richards, Donald St. P. et al. [..] (2016, online: 2016) Exact ZF analysis and computer-algebra-aided evaluation in rank-1 LoS Rician fading. Bericht-Nr. 2016-05; RICAM: Linz. (link)
  • Hassani, Saoud; Koutschan, Christoph; Maillard, Jean-Marie; Zenine, Nadjah (2016, online: 2016) Lattice Green Functions: the d-dimensional face-centred cubic lattice, d = 8, 9, 10, 11, 12. Bericht-Nr. 2016-03; RICAM: Linz. (link)
  • Koutschan, Christoph; Neumüller, Martin; Radu, Silviu (2016, online: 2016) Inverse Inequality Estimates with Symbolic Computation. Bericht-Nr. 2016-01; RICAM: Linz. (link)
  • Chen, Shaoshi; Koutschan, Christoph (2015, online: 2015) Proof of the Wilf-Zeilberger Conjecture. Bericht-Nr. 2015-15; RICAM: Linz. (link)
  • Koutschan, Christoph; Ranetbauer, Helene; Regensburger, Georg; Wolfram, Marie-Therese (2015, online: 2015) Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models. Bericht-Nr. 2015-14; RICAM: Linz. (link)
  • Gallet, Matteo; Koutschan, Christoph; Li, Zijia; Regensburger, Georg; Schicho, Josef et al. [..] (2015, online: 2015) Planar Linkages Following a Prescribed Motion. Bericht-Nr. 2015-03; RICAM: Linz. (link)
  • Kauers, Manuel; Koutschan, Christoph (2015, online: 2015) Integral D-Finite Functions. Bericht-Nr. 2015-02; RICAM: Linz. (link)
  • Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph (2014, online: 2014) A Generalized Apagodu-Zeilberger Algorithm. Bericht-Nr. 2014-05; RICAM: Linz. (link)
  • Koutschan, Christoph (2013, online: 2013) Creative Telescoping for Holonomic Functions. Bericht-Nr. 2013-09; RICAM: Linz. (link)
  • Koutschan, Christoph; Paule, Peter; Suslov, Sergei K. (2013, online: 2013) Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. Bericht-Nr. 2013-08; RICAM: Linz. (link)
  • Garoufalidis, Stavros; Koutschan, Christoph (2013, online: 2013) Irreducibility of q-difference operators and the knot 7_4. Bericht-Nr. 2013-01; RICAM: Linz. (link)

Other Publication
  • Capco, Jose; Gallet, Matteo; Grasegger, Georg; Koutschan, Christoph; Lubbes, Niels et al. [..] (online: 2018) The number of realizations of all Laman graphs with at most 12 vertices. Zenodo. (link)
  • Capco, Jose; Gallet, Matteo; Grasegger, Georg; Koutschan, Christoph; Lubbes, Niels et al. [..] (online: 2018) An algorithm for computing the number of realizations of a Laman graph. Zenodo. (link)