Carsten Schneider

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 45

Top Topics

Computer Algebra

Top Venues

ACM Commun. Comput. Algebra

J. Symb. Comput.

Publications

Peter Paule, Carsten Schneider
Creative Telescoping for Hypergeometric Double Sums. CoRR (2024)
Evans Doe Ocansey, Carsten Schneider
Representation of hypergeometric products of higher nesting depths in difference rings. J. Symb. Comput. 120 (2024)
Johannes Blümlein, Marco Saragnese, Carsten Schneider
Hypergeometric structures in Feynman integrals. Ann. Math. Artif. Intell. 91 (5) (2023)
Johannes Blümlein, Nikolai Fadeev, Carsten Schneider
Computing Mellin representations and asymptotics of nested binomial sums in a symbolic way: the RICA package. CoRR (2023)
Johannes Blümlein, Nikolai Fadeev, Carsten Schneider
Computing Mellin Representations and Asymptotics of Nested Binomial Sums in a Symbolic Way: The RICA Package. ACM Commun. Comput. Algebra 57 (2) (2023)
Carsten Schneider
Refined telescoping algorithms in RΠΣ-extensions to reduce the degrees of the denominators. CoRR (2023)
Carsten Schneider
Refined telescoping algorithms in RΠΣ -extensions to reduce the degrees of the denominators✱. ISSAC (2023)
Johannes Blümlein, Marco Saragnese, Carsten Schneider
Computer Algebra and Hypergeometric Structures for Feynman Integrals. CoRR (2022)
Johannes Blümlein, Carsten Schneider
The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals. CoRR (2022)
Koustav Banerje, Peter Paule, Cristian-Silviu Radu, Carsten Schneider
Error bounds for the asymptotic expansion of the partition function. CoRR (2022)
Jakob Ablinger, Carsten Schneider
Solving linear difference equations with coefficients in rings with idempotent representations. CoRR (2021)
Jakob Ablinger, Johannes Blümlein, Carsten Schneider
Iterated integrals over letters induced by quadratic forms. CoRR (2021)
Carsten Schneider
The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra. Math. Comput. Sci. 15 (4) (2021)
Johannes Blümlein, M. Saragnese, Carsten Schneider
Hypergeometric Structures in Feynman Integrals. CoRR (2021)
Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek, Carsten Schneider
-field extensions. J. Symb. Comput. 107 (2021)
Carsten Schneider
Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation. CoRR (2021)
Jakob Ablinger, Carsten Schneider
Solving Linear Difference Equations with Coefficients in Rings with Idempotent Representations. ISSAC (2021)
Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek, Carsten Schneider
On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in $Π\mathbfΣ^*$-field extensions. CoRR (2020)
Carsten Schneider
The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra. CoRR (2020)
Evans Doe Ocansey, Carsten Schneider
Representation of hypergeometric products of higher nesting depths in difference rings. CoRR (2020)
Carsten Schneider
Minimal Representations and Algebraic Relations for Single Nested Products. Program. Comput. Softw. 46 (2) (2020)
Carsten Schneider, Wadim Zudilin
A case study for ζ(4). CoRR (2020)
Johannes Blümlein, Peter Marquard, Carsten Schneider
A refined machinery to calculate large moments from coupled systems of linear differential equations. CoRR (2019)
Carsten Schneider
Minimal representations and algebraic relations for single nested products. CoRR (2019)
Jakob Ablinger, Johannes Blümlein, Mark Round, Carsten Schneider
Numerical implementation of harmonic polylogarithms to weight w = 8. Comput. Phys. Commun. 240 (2019)
Johannes Middeke, Carsten Schneider
Towards a direct method for finding hypergeometric solutions of linear first order recurrence systems. ACM Commun. Comput. Algebra 52 (3) (2018)
Johannes Blümlein, Carsten Schneider
Computer algebra tools for Feynman integrals and related multi-sums. CoRR (2018)
Peter Paule, Carsten Schneider
Towards a symbolic summation theory for unspecified sequences. CoRR (2018)
Johannes Middeke, Carsten Schneider
Denominator Bounds for Systems of Recurrence Equations using $ΠΣ$-Extensions. CoRR (2017)
Johannes Blümlein, Carsten Schneider
The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory. CoRR (2017)
Johannes Blümlein, Mark Round, Carsten Schneider
Refined Holonomic Summation Algorithms in Particle Physics. CoRR (2017)
Carsten Schneider
-extensions and algorithmic aspects. J. Symb. Comput. 80 (2017)
Evans Doe Ocansey, Carsten Schneider
Representing ($q$-)hypergeometric products and mixed versions in difference rings. CoRR (2017)
Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Mark van Hoeij, Erdal Imamoglu, Clemens G. Raab, Cristian-Silviu Radu, Carsten Schneider
Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams. CoRR (2017)
Carsten Schneider, Robin Sulzgruber
Asymptotic and Exact Results on the Complexity of the Novelli-Pak-Stoyanovskii Algorithm. Electron. J. Comb. 24 (2) (2017)
Carsten Schneider
-extensions and algorithmic aspects. CoRR (2016)
Johannes Middeke, Carsten Schneider
Denominator bounds for higher order systems of linear recurrence equations. ACM Commun. Comput. Algebra 50 (4) (2016)
Christian Krattenthaler, Carsten Schneider
Evaluation of binomial double sums involving absolute values. CoRR (2016)
Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Carsten Schneider
A toolbox to solve coupled systems of differential and difference equations. CoRR (2016)
Evans Doe Ocansey, Carsten Schneider
Representation of hypergeometric products in difference rings. ACM Commun. Comput. Algebra 50 (4) (2016)
Carsten Schneider
A difference ring theory for symbolic summation. J. Symb. Comput. 72 (2016)
Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, A. von Manteuffel, Carsten Schneider
Calculating three loop ladder and V-topologies for massive operator matrix elements by computer algebra. Comput. Phys. Commun. 202 (2016)
Carsten Schneider, Robin Sulzgruber
Asymptotic and exact results on the complexity of the Novelli-Pak-Stoyanovskii algorithm. CoRR (2016)
Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Carsten Schneider
Algorithms to solve coupled systems of differential equations in terms of power series. CoRR (2016)
Carsten Schneider
Symbolic Summation in Difference Rings and Applications. ISSAC (2016)
Jakob Ablinger, Carsten Schneider
Algebraic independence of (cyclotomic) harmonic sums. CoRR (2015)
Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, A. von Manteuffel, Carsten Schneider
Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra. CoRR (2015)
Carsten Schneider
A streamlined difference ring theory: Indefinite nested sums, the alternating sign and the parameterized telescoping problem. CoRR (2014)
Carsten Schneider
A Difference Ring Theory for Symbolic Summation. CoRR (2014)
Jakob Ablinger, Johannes Blümlein, Clemens G. Raab, Carsten Schneider
Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams. CoRR (2014)
Johannes Blümlein, Abilio De Freitas, Carsten Schneider
Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations. CoRR (2014)
Carsten Schneider
A Streamlined Difference Ring Theory: Indefinite Nested Sums, the Alternating Sign, and the Parameterized Telescoping Problem. SYNASC (2014)
Carsten Schneider
Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages Sigma, EvaluateMultiSums and SumProduction. CoRR (2013)
Carsten Schneider
Simplifying Multiple Sums in Difference Fields CoRR (2013)
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)
Carsten Schneider
Fast Algorithms for Refined Parameterized Telescoping in Difference Fields. CoRR (2013)
Jakob Ablinger, Johannes Blümlein, Carsten Schneider
Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms CoRR (2013)
Jakob Ablinger, Johannes Blümlein, Mark Round, Carsten Schneider
Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals CoRR (2012)
Johannes Blümlein, Sebastian Klein, Carsten Schneider, Flavia Stan
A symbolic summation approach to Feynman integral calculus. J. Symb. Comput. 47 (10) (2012)
Johannes Blümlein, Alexander Hasselhuhn, Carsten Schneider
Evaluation of Multi-Sums for Large Scale Problems. CoRR (2012)
Manuel Kauers, Carsten Schneider
A Refined Denominator Bounding Algorithm for Multivariate Linear Difference Equations CoRR (2011)
Jakob Ablinger, Johannes Blümlein, Carsten Schneider
Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials CoRR (2011)
Manuel Kauers, Carsten Schneider
A refined denominator bounding algorithm for multivariate linear difference equations. ISSAC (2011)
Helmut Prodinger, Carsten Schneider, Stephan G. Wagner
Unfair permutations. Eur. J. Comb. 32 (8) (2011)
Johannes Blümlein, Sebastian Klein, Carsten Schneider, Flavia Stan
A symbolic summation approach to feynman integrals. ACM Commun. Comput. Algebra 44 (3/4) (2010)
Manuel Kauers, Carsten Schneider
Partial Denominator Bounds for Partial Linear Difference Equations CoRR (2010)
Carsten Schneider
Structural theorems for symbolic summation. Appl. Algebra Eng. Commun. Comput. 21 (1) (2010)
Johannes Blümlein, Sebastian Klein, Carsten Schneider, Flavia Stan
A Symbolic Summation Approach to Feynman Integral Calculus CoRR (2010)
Carsten Schneider
Towards an Eclipse Ontology Framework: Integrating OWL and the Eclipse Modeling Framework. TWOMDE@TOOLS (2010)
Manuel Kauers, Carsten Schneider
Partial denominator bounds for partial linear difference equations. ISSAC (2010)
Carsten Schneider
A Symbolic Summation Approach to Find Optimal Nested Sum Representations CoRR (2009)
Johannes Blümlein, Manuel Kauers, Sebastian Klein, Carsten Schneider
Determining the closed forms of the $O(a_s^3)$ anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra CoRR (2009)
Robert Osburn, Carsten Schneider
Gaussian Hypergeometric series and supercongruences. Math. Comput. 78 (265) (2009)
Johannes Blümlein, Manuel Kauers, Sebastian Klein, Carsten Schneider
) anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra. Comput. Phys. Commun. 180 (11) (2009)
Johannes Blümlein, Manuel Kauers, Sebastian Klein, Carsten Schneider
From Moments to Functions in Quantum Chromodynamics CoRR (2009)
Carsten Schneider
Parameterized Telescoping Proves Algebraic Independence of Sums CoRR (2008)
Carsten Schneider
Multi-summation in difference fields (abstract only). ACM Commun. Comput. Algebra 42 (1-2) (2008)
Manuel Kauers, Carsten Schneider
Automated Proofs for Some Stirling Number Identities. Electron. J. Comb. 15 (1) (2008)
Carsten Schneider
A refined difference field theory for symbolic summation. J. Symb. Comput. 43 (9) (2008)
Carsten Schneider
A Refined Difference Field Theory for Symbolic Summation CoRR (2008)
Robin Pemantle, Carsten Schneider
When Is 0.999... Equal to 1? Am. Math. Mon. 114 (4) (2007)
I. Bierenbaum, Johannes Blümlein, Sebastian Klein, Carsten Schneider
Difference Equations in Massive Higher Order Calculations CoRR (2007)
Manuel Kauers, Carsten Schneider
Symbolic summation with radical expressions. ISSAC (2007)
Carsten Schneider
Apery's Double Sum is Plain Sailing Indeed. Electron. J. Comb. 14 (1) (2007)
Carsten Schneider, Gerhard Arminger
Factor Analysis for Extraction of Structural Components and Prediction in Time Series. GfKl (2006)
Manuel Kauers, Carsten Schneider
Indefinite summation with unspecified summands. Discret. Math. 306 (17) (2006)
Manuel Kauers, Carsten Schneider
Application of unspecified sequences in symbolic summation. ISSAC (2006)
A. Becirovic, Peter Paule, Veronika Pillwein, Axel Riese, Carsten Schneider, Joachim Schöberl
Hypergeometric Summation Algorithms for High-order Finite Elements. Computing 78 (3) (2006)
Carsten Schneider
A new Sigma approach to multi-summation. Adv. Appl. Math. 34 (4) (2005)
Carsten Schneider
Finding telescopers with minimal depth for indefinite nested sum and product expressions. ISSAC (2005)
Carsten Schneider
Degree Bounds to Find Polynomial Solutions of Parameterized Linear Difference Equations in Pi-Sigma-Fields. Appl. Algebra Eng. Commun. Comput. 16 (1) (2005)
Carsten Schneider
Some Notes On "When is 0.999... equal to 1?". Mathematics, Algorithms, Proofs (2005)
George E. Andrews, Peter Paule, Carsten Schneider
Plane partitions VI: Stembridge's TSPP theorem. Adv. Appl. Math. 34 (4) (2005)
Carsten Schneider
The Summation Package Sigma: Underlying Principles and a Rhombus Tiling Application. Discret. Math. Theor. Comput. Sci. 6 (2) (2004)
Carsten Schneider
Symbolic summation with single-nested sum extensions. ISSAC (2004)
Peter Paule, Carsten Schneider
Computer proofs of a new family of harmonic number identities. Adv. Appl. Math. 31 (2) (2003)