Christoph Koutschan

Christoph Koutschan's AcademicInfluence.com Rankings

Christoph Koutschan

Mathematics

#1101

World Rank

#1869

Historical Rank

Measure Theory

#4707

World Rank

#5512

Historical Rank

mathematics Degrees

Christoph Koutschan

Computer Science

#2954

World Rank

#3093

Historical Rank

computer-science Degrees

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Mathematics
Computer Science

Christoph Koutschan's Degrees

PhD Mathematics Johannes Kepler University Linz

Why Is Christoph Koutschan Influential?

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According to Wikipedia, Christoph Koutschan is a German mathematician and computer scientist. He is currently with the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences. Education Christoph Koutschan is a German mathematician and computer scientist. He studied computer science at the University of Erlangen-Nuremberg in Germany from 1999 to 2005 and then moved to the Research Institute for Symbolic Computation in Linz, Austria, where he completed his PhD in symbolic computation in 2009 under the supervision of Peter Paule.

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Christoph Koutschan's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Advanced applications of the holonomic systems approach (2010) (161)
A Fast Approach to Creative Telescoping (2010) (78)
Proof of Ira Gessel's lattice path conjecture (2008) (64)
Creative Telescoping for Holonomic Functions (2013) (53)
Proof of George Andrews’s and David Robbins’s q-TSPP conjecture (2010) (36)
Reduction-Based Creative Telescoping for Algebraic Functions (2016) (32)
The number of realizations of a Laman graph (2017) (30)
Planar linkages following a prescribed motion (2015) (29)
Reduction-Based Creative Telescoping for Fuchsian D-finite Functions (2016) (28)
A Mathematica package for q-holonomic sequences and power series (2009) (27)
Lattice Green functions of the higher-dimensional face-centered cubic lattices (2011) (27)
The integrals in Gradshteyn and Ryzhik. Part 22: Bessel-K functions (2012) (24)
A Proof of George Andrews' and David Robbins' $q$-TSPP Conjecture (2010) (21)
Fundamental laser modes in paraxial optics: from computer algebra and simulations to experimental observation (2014) (20)
Irreducibility of q-difference operators and the knot 7_4 (2012) (19)
A generalized Apagodu-Zeilberger algorithm (2014) (18)
Regular languages and their generating functions: The inverse problem (2008) (14)
Third order integrability conditions for homogeneous potentials of degree -1 (2011) (14)
Integrals of powers of loggamma (2011) (13)
The Noncommutative A-Polynomial of (−2, 3, n) Pretzel Knots (2011) (13)
Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations (2011) (13)
Lower Bounds on the Number of Realizations of Rigid Graphs (2017) (12)
Lattice Green functions: the d-dimensional face-centered cubic lattice, d = 8, 9, 10, 11, 12 (2016) (12)
MIMO Zero-Forcing Performance Evaluation Using the Holonomic Gradient Method (2014) (11)
Advanced Computer Algebra for Determinants (2011) (11)
Integral D-Finite Functions (2015) (11)
Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading (2015) (10)
Zeilberger's holonomic ansatz for Pfaffians (2012) (10)
Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II (2012) (9)
Multivariate linear recurrences and power series division (2012) (9)
Heun functions and diagonals of rational functions (2019) (9)
On Christol’s conjecture (2019) (8)
A Proof of George Andrews' and Dave Robbins' q-TSPP Conjecture (modulo a finite amount of routine calculations) (2008) (8)
Harmonic interpolation based on Radon projections along the sides of regular polygons (2013) (8)
Computing one of Victor Moll's irresistible integrals with computer algebra (2008) (7)
The sl3 Jones polynomial of the trefoil: A case study of q-holonomic sequences (2010) (7)
The 1958 Pekeris-Accad-WEIZAC Ground-Breaking Collaboration that Computed Ground States of Two-Electron Atoms (and its 2010 Redux) (2010) (7)
The integrals in Gradshteyn and Ryzhik. Part 18: Some automatic proofs (2011) (6)
Eliminating Human Insight: An Algorithmic Proof of Stembridge's TSPP Theorem (2009) (6)
Tweaking the Beukers integrals in search of more miraculous irrationality proofs a la Apéry (2021) (6)
Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms (2015) (6)
Holonomic functions in mathematica (2014) (6)
Twisting q-holonomic sequences by complex roots of unity (2012) (5)
Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models (2015) (5)
Guessing with Little Data (2022) (5)
Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms (2018) (5)
Calculation and Properties of Zonal Polynomials (2020) (5)
Echelons of power series and Gabrielov's counterexample to nested linear Artin approximation (2018) (4)
Desingularization in the q-Weyl algebra (2018) (3)
Legendre pairs of lengths ℓ ≡ 0 ( mod 3 ) (2021) (3)
Diagonals of Rational Functions: From Differential Algebra to Effective Algebraic Geometry (2020) (2)
On the Singular Value Decomposition of n-Fold Integration Operators (2018) (2)
How does the Gerrymander Sequence Continue? (2022) (2)
Exact Lower Bounds for Monochromatic Schur Triples and Generalizations (2019) (2)
Inverse Inequality Estimates with Symbolic Computation (2016) (2)
Creative Telescoping on Multiple Sums (2020) (2)
THE ITERATED INTEGRALS OF ln(1 + xn) (2010) (2)
Holonomic Anti-Differentiation and Feynman Amplitudes (2021) (2)
On Two-Generated Non-commutative Algebras Subject to the Affine Relation (2011) (2)
Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz (2021) (1)
Tessellation-Filtering ReLU Neural Networks (2022) (1)
A Curious Family of Binomial Determinants That Count Rhombus Tilings of a Holey Hexagon (2017) (1)
Multi-parameter laser modes in paraxial optics (2014) (1)
Proof of the Wilf-Zeilberger Conjecture (2015) (1)
THE ITERATED INTEGRALS OF ln(1 + x) (2010) (1)
Fundamental laser modes in paraxial optics: from computer algebra and simulations to experimental observation (2015) (1)
Transcendence Certificates for D-finite Functions (2023) (0)
HOW TO PROVE GEORGE ANDREWS’ AND DAVE ROBBINS’ q-TSPP CONJECTURE (2009) (0)
J ul 2 01 4 MULTI-PARAMETER LASER MODES IN PARAXIAL OPTICS (2014) (0)
Approximation of convex polygons by polygons (2021) (0)
Advanced Computer Algebra for Determinants (2013) (0)
Calculation and Properties of Zonal Polynomials (2020) (0)
Common Factors in Fraction-Free Matrix Decompositions (2020) (0)
The Holonomic Systems Approach (2009) (0)
S C ] 1 F eb 2 01 6 Reduction-Based Creative Telescoping for Algebraic Functions (2018) (0)
On Kahan's Rules for Determining Branch Cuts (2011) (0)
Holonomic Tools for Basic Hypergeometric Functions (2016) (0)
Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order (2013) (0)
On Potentials Integrated by the Nikiforov-Uvarov Method (2023) (0)
Legendre pairs of lengths $\ell\equiv0$ (mod 5) (2021) (0)
Special issue OPSFA15: orthogonal polynomials, special functions and applications (2021) (0)
Reduction-Based Creative Telescoping for (2016) (0)
There are EXACTLY 1493804444499093354916284290188948031229880469556 Ways to Derange a Standard Deck of Cards (ignoring suits) [and many other such useful facts] (2021) (0)
PROOF OF A CONJECTURE OF GESSEL (2008) (0)
Effective Algebraic Analysis Approach to Linear Systems over Ore Algebras (2020) (0)
Desingularitzation in the q-Weil algebra (2018) (0)
Motion polynomials and planar linkages (2016) (0)
APÉRY LIMITS FOR ELLIPTIC L-VALUES (2021) (0)
Foreword (2019) (0)
Realizations of Rigid Graphs (2021) (0)
LINEAR RECURRENCES AND POWER SERIES DIVISION (2007) (0)
Unboundedness of Linear Regions of Deep ReLU Neural Networks (2022) (0)
Motzkin Number Pfaffian (theorem 2) (2012) (0)
APÉRY LIMITS FOR ELLIPTIC $\boldsymbol {L}$ -VALUES (2021) (0)
Gene Transfer-based Phylogenetics: Analytical Expressions and Additivity via Birth–Death Theory (2022) (0)
A Unified Approach to Unimodality of Gaussian Polynomials (2023) (0)
Some D-finite and some Possibly D-finite Sequences in the OEIS (2023) (0)
Foreword (2019) (0)

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Christoph Koutschan's Academic­Influence.com Rankings

Christoph Koutschan's Degrees

Why Is Christoph Koutschan Influential?

Christoph Koutschan's Published Works

Published Works

Other Resources About Christoph Koutschan

What Schools Are Affiliated With Christoph Koutschan?

Christoph Koutschan's AcademicInfluence.com Rankings