Carsten Schneider

103 papers B 9Misc 2Journal 87Unranked 3

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Creative telescoping for hypergeometric double sums. J. Symb. Comput. Peter Paule, Carsten Schneider
2025	J	`jnl`	Telescoping Algorithms for Σ CoRR Shaoshi Chen, Yiman Gao, Hui Huang, Carsten Schneider
2024	J	`jnl`	Asymptotics for the reciprocal and shifted quotient of the partition function. CoRR Koustav Banerjee, Peter Paule, Cristian-Silviu Radu, Carsten Schneider
2024	J	`jnl`	Challenges for analytic calculations of the massive three-loop form factors. CoRR Johannes Blümlein, Abilio De Freitas, Peter Marquard, Carsten Schneider
2024	J	`jnl`	Creative Telescoping for Hypergeometric Double Sums. CoRR Peter Paule, Carsten Schneider
2024	J	`jnl`	Representation of hypergeometric products of higher nesting depths in difference rings. J. Symb. Comput. Evans Doe Ocansey, Carsten Schneider
2023	J	`jnl`	Computing Mellin Representations and Asymptotics of Nested Binomial Sums in a Symbolic Way: The RICA Package. ACM Commun. Comput. Algebra Johannes Blümlein, Nikolai Fadeev, Carsten Schneider
2023	J	`jnl`	Computing Mellin representations and asymptotics of nested binomial sums in a symbolic way: the RICA package. CoRR Johannes Blümlein, Nikolai Fadeev, Carsten Schneider
2023	J	`jnl`	Hypergeometric structures in Feynman integrals. Ann. Math. Artif. Intell. Johannes Blümlein, Marco Saragnese, Carsten Schneider
2023	B	`conf`	Refined telescoping algorithms in RΠΣ -extensions to reduce the degrees of the denominators✱. ISSAC Carsten Schneider
2023	J	`jnl`	Refined telescoping algorithms in RΠΣ-extensions to reduce the degrees of the denominators. CoRR Carsten Schneider
2022	J	`jnl`	Computer Algebra and Hypergeometric Structures for Feynman Integrals. CoRR Johannes Blümlein, Marco Saragnese, Carsten Schneider
2022	J	`jnl`	Error bounds for the asymptotic expansion of the partition function. CoRR Koustav Banerje, Peter Paule, Cristian-Silviu Radu, Carsten Schneider
2022	J	`jnl`	The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals. CoRR Johannes Blümlein, Carsten Schneider
2021	Misc	`ed.`	23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2021, Timisoara, Romania, December 7-10, 2021 SYNASC Carsten Schneider, Mircea Marin, Viorel Negru, Daniela Zaharie
2021	J	`jnl`	Hypergeometric Structures in Feynman Integrals. CoRR Johannes Blümlein, Marco Saragnese, Carsten Schneider
2021	J	`jnl`	Iterated integrals over letters induced by quadratic forms. CoRR Jakob Ablinger, Johannes Blümlein, Carsten Schneider
2021	J	`jnl`	On rational and hypergeometric solutions of linear ordinary difference equations in ΠΣ J. Symb. Comput. Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek, Carsten Schneider
2021	B	`conf`	Solving Linear Difference Equations with Coefficients in Rings with Idempotent Representations. ISSAC Jakob Ablinger, Carsten Schneider
2021	J	`jnl`	Solving linear difference equations with coefficients in rings with idempotent representations. CoRR Jakob Ablinger, Carsten Schneider
2021	J	`jnl`	Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation. CoRR Carsten Schneider
2021	J	`jnl`	The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra. Math. Comput. Sci. Carsten Schneider
2020	J	`jnl`	A case study for ζ(4). CoRR Carsten Schneider, Wadim Zudilin
2020	J	`jnl`	Minimal Representations and Algebraic Relations for Single Nested Products. Program. Comput. Softw. Carsten Schneider
2020	J	`jnl`	On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in $Π\mathbfΣ^*$-field extensions. CoRR Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek, Carsten Schneider
2020	J	`jnl`	Representation of hypergeometric products of higher nesting depths in difference rings. CoRR Evans Doe Ocansey, Carsten Schneider
2020	J	`jnl`	The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra. CoRR Carsten Schneider
2019	J	`jnl`	A refined machinery to calculate large moments from coupled systems of linear differential equations. CoRR Johannes Blümlein, Peter Marquard, Carsten Schneider
2019	J	`jnl`	Minimal representations and algebraic relations for single nested products. CoRR Carsten Schneider
2019	J	`jnl`	Numerical implementation of harmonic polylogarithms to weight w = 8. Comput. Phys. Commun. Jakob Ablinger, Johannes Blümlein, Mark Round, Carsten Schneider
2018	J	`jnl`	Computer algebra tools for Feynman integrals and related multi-sums. CoRR Johannes Blümlein, Carsten Schneider
2018	J	`jnl`	Towards a direct method for finding hypergeometric solutions of linear first order recurrence systems. ACM Commun. Comput. Algebra Johannes Middeke, Carsten Schneider
2018	J	`jnl`	Towards a symbolic summation theory for unspecified sequences. CoRR Peter Paule, Carsten Schneider
2017	J	`jnl`	Asymptotic and Exact Results on the Complexity of the Novelli-Pak-Stoyanovskii Algorithm. Electron. J. Comb. Carsten Schneider, Robin Sulzgruber
2017	J	`jnl`	Denominator Bounds for Systems of Recurrence Equations using $ΠΣ$-Extensions. CoRR Johannes Middeke, Carsten Schneider
2017	J	`jnl`	Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams. CoRR Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Mark van Hoeij, Erdal Imamoglu, Clemens G. Raab, Cristian-Silviu Radu, Carsten Schneider
2017	J	`jnl`	Refined Holonomic Summation Algorithms in Particle Physics. CoRR Johannes Blümlein, Mark Round, Carsten Schneider
2017	J	`jnl`	Representing ($q$-)hypergeometric products and mixed versions in difference rings. CoRR Evans Doe Ocansey, Carsten Schneider
2017	J	`jnl`	Summation Theory II: Characterizations of RΠΣ J. Symb. Comput. Carsten Schneider
2017	J	`jnl`	The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory. CoRR Johannes Blümlein, Carsten Schneider
2016	J	`jnl`	A difference ring theory for symbolic summation. J. Symb. Comput. Carsten Schneider
2016	J	`jnl`	A toolbox to solve coupled systems of differential and difference equations. CoRR Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Carsten Schneider
2016	J	`jnl`	Algorithms to solve coupled systems of differential equations in terms of power series. CoRR Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Carsten Schneider
2016	J	`jnl`	Asymptotic and exact results on the complexity of the Novelli-Pak-Stoyanovskii algorithm. CoRR Carsten Schneider, Robin Sulzgruber
2016	J	`jnl`	Calculating three loop ladder and V-topologies for massive operator matrix elements by computer algebra. Comput. Phys. Commun. Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Andreas von Manteuffel, Carsten Schneider
2016	J	`jnl`	Denominator bounds for higher order systems of linear recurrence equations. ACM Commun. Comput. Algebra Johannes Middeke, Carsten Schneider
2016	J	`jnl`	Evaluation of binomial double sums involving absolute values. CoRR Christian Krattenthaler, Carsten Schneider
2016	J	`jnl`	Representation of hypergeometric products in difference rings. ACM Commun. Comput. Algebra Evans Doe Ocansey, Carsten Schneider
2016	J	`jnl`	Summation Theory II: Characterizations of RΠΣ CoRR Carsten Schneider
2016	B	`conf`	Symbolic Summation in Difference Rings and Applications. ISSAC Carsten Schneider
2015	J	`jnl`	Algebraic independence of (cyclotomic) harmonic sums. CoRR Jakob Ablinger, Carsten Schneider
2015	J	`jnl`	Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra. CoRR Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Andreas von Manteuffel, Carsten Schneider
2015	—	`ch.`	Fast Algorithms for Refined Parameterized Telescoping in Difference Fields. Computer Algebra and Polynomials Carsten Schneider
2014	J	`jnl`	A Difference Ring Theory for Symbolic Summation. CoRR Carsten Schneider
2014	Misc	`conf`	A Streamlined Difference Ring Theory: Indefinite Nested Sums, the Alternating Sign, and the Parameterized Telescoping Problem. SYNASC Carsten Schneider
2014	J	`jnl`	A streamlined difference ring theory: Indefinite nested sums, the alternating sign and the parameterized telescoping problem. CoRR Carsten Schneider
2014	J	`jnl`	Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams. CoRR Jakob Ablinger, Johannes Blümlein, Clemens G. Raab, Carsten Schneider
2014	J	`jnl`	Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations. CoRR Johannes Blümlein, Abilio De Freitas, Carsten Schneider
2013	J	`jnl`	Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms CoRR Jakob Ablinger, Johannes Blümlein, Carsten Schneider
2013	J	`jnl`	Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order CoRR Stefan Gerhold, Manuel Kauers, Christoph Koutschan, Peter Paule, Carsten Schneider, Burkhard Zimmermann
2013	J	`jnl`	Fast Algorithms for Refined Parameterized Telescoping in Difference Fields. CoRR Carsten Schneider
2013	J	`jnl`	Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages Sigma, EvaluateMultiSums and SumProduction. CoRR Carsten Schneider
2013	J	`jnl`	Simplifying Multiple Sums in Difference Fields CoRR Carsten Schneider
2012	J	`jnl`	A symbolic summation approach to Feynman integral calculus. J. Symb. Comput. Johannes Blümlein, Sebastian Klein, Carsten Schneider, Flavia Stan
2012	J	`jnl`	Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals CoRR Jakob Ablinger, Johannes Blümlein, Mark Round, Carsten Schneider
2012	J	`jnl`	Evaluation of Multi-Sums for Large Scale Problems. CoRR Johannes Blümlein, Alexander Hasselhuhn, Carsten Schneider
2011	J	`jnl`	A Refined Denominator Bounding Algorithm for Multivariate Linear Difference Equations CoRR Manuel Kauers, Carsten Schneider
2011	B	`conf`	A refined denominator bounding algorithm for multivariate linear difference equations. ISSAC Manuel Kauers, Carsten Schneider
2011	J	`jnl`	Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials CoRR Jakob Ablinger, Johannes Blümlein, Carsten Schneider
2011	J	`jnl`	Unfair permutations. Eur. J. Comb. Helmut Prodinger, Carsten Schneider, Stephan G. Wagner
2010	J	`jnl`	A Symbolic Summation Approach to Feynman Integral Calculus CoRR Johannes Blümlein, Sebastian Klein, Carsten Schneider, Flavia Stan
2010	J	`jnl`	A symbolic summation approach to feynman integrals. ACM Commun. Comput. Algebra Johannes Blümlein, Sebastian Klein, Carsten Schneider, Flavia Stan
2010	J	`jnl`	Partial Denominator Bounds for Partial Linear Difference Equations CoRR Manuel Kauers, Carsten Schneider
2010	B	`conf`	Partial denominator bounds for partial linear difference equations. ISSAC Manuel Kauers, Carsten Schneider
2010	J	`jnl`	Structural theorems for symbolic summation. Appl. Algebra Eng. Commun. Comput. Carsten Schneider
2010	—	`conf`	Towards an Eclipse Ontology Framework: Integrating OWL and the Eclipse Modeling Framework. TWOMDE@TOOLS Carsten Schneider
2009	J	`jnl`	A Symbolic Summation Approach to Find Optimal Nested Sum Representations CoRR Carsten Schneider
2009	—	`ch.`	Algorithms in Symbolic Computation. Hagenberg Research Peter Paule, Bruno Buchberger, Lena Kartashova, Manuel Kauers, Carsten Schneider, Franz Winkler
2009	J	`jnl`	Determining the closed forms of the $O(a_s^3)$ anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra CoRR Johannes Blümlein, Manuel Kauers, Sebastian Klein, Carsten Schneider
2009	J	`jnl`	Determining the closed forms of the O(s Comput. Phys. Commun. Johannes Blümlein, Manuel Kauers, Sebastian Klein, Carsten Schneider
2009	J	`jnl`	From Moments to Functions in Quantum Chromodynamics CoRR Johannes Blümlein, Manuel Kauers, Sebastian Klein, Carsten Schneider
2009	J	`jnl`	Gaussian Hypergeometric series and supercongruences. Math. Comput. Robert Osburn, Carsten Schneider
2008	J	`jnl`	A Refined Difference Field Theory for Symbolic Summation CoRR Carsten Schneider
2008	J	`jnl`	A refined difference field theory for symbolic summation. J. Symb. Comput. Carsten Schneider
2008	J	`jnl`	Automated Proofs for Some Stirling Number Identities. Electron. J. Comb. Manuel Kauers, Carsten Schneider
2008	J	`jnl`	Multi-summation in difference fields (abstract only). ACM Commun. Comput. Algebra Carsten Schneider
2008	J	`jnl`	Parameterized Telescoping Proves Algebraic Independence of Sums CoRR Carsten Schneider
2007	J	`jnl`	Apery's Double Sum is Plain Sailing Indeed. Electron. J. Comb. Carsten Schneider
2007	J	`jnl`	Difference Equations in Massive Higher Order Calculations CoRR I. Bierenbaum, Johannes Blümlein, Sebastian Klein, Carsten Schneider
2007	B	`conf`	Symbolic summation with radical expressions. ISSAC Manuel Kauers, Carsten Schneider
2007	J	`jnl`	When Is 0.999... Equal to 1? Am. Math. Mon. Robin Pemantle, Carsten Schneider
2006	B	`conf`	Application of unspecified sequences in symbolic summation. ISSAC Manuel Kauers, Carsten Schneider
2006	—	`conf`	Factor Analysis for Extraction of Structural Components and Prediction in Time Series. GfKl Carsten Schneider, Gerhard Arminger
2006	J	`jnl`	Hypergeometric Summation Algorithms for High-order Finite Elements. Computing A. Becirovic, Peter Paule, Veronika Pillwein, Axel Riese, Carsten Schneider, Joachim Schöberl
2006	J	`jnl`	Indefinite summation with unspecified summands. Discret. Math. Manuel Kauers, Carsten Schneider
2005	J	`jnl`	A new Sigma approach to multi-summation. Adv. Appl. Math. Carsten Schneider
2005	J	`jnl`	Degree Bounds to Find Polynomial Solutions of Parameterized Linear Difference Equations in Pi-Sigma-Fields. Appl. Algebra Eng. Commun. Comput. Carsten Schneider
2005	B	`conf`	Finding telescopers with minimal depth for indefinite nested sum and product expressions. ISSAC Carsten Schneider
2005	J	`jnl`	Plane partitions VI: Stembridge's TSPP theorem. Adv. Appl. Math. George E. Andrews, Peter Paule, Carsten Schneider
2005	—	`conf`	Some Notes On "When is 0.999... equal to 1?". Mathematics, Algorithms, Proofs Carsten Schneider
2004	B	`conf`	Symbolic summation with single-nested sum extensions. ISSAC Carsten Schneider
2004	J	`jnl`	The Summation Package Sigma: Underlying Principles and a Rhombus Tiling Application. Discret. Math. Theor. Comput. Sci. Carsten Schneider
2003	J	`jnl`	Computer proofs of a new family of harmonic number identities. Adv. Appl. Math. Peter Paule, Carsten Schneider