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Algorithmic Combinatorics Publications

Type: [any] [Papers] [Theses] [Technical Reports] [Other
Author: [any] [Ablinger] [Paule] [Kauers] [Koutschan] [Pillwein] [Radu] [Schneider
Year: [any] [2017] [2016] [2015] [2014] [2013] [2012] [earlier

J. Ablinger, J. Bluemlein, S. Klein, C. Schneider, F. Wissbrock. The O(\alpha_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x, Q^2) and Transversity. Nucl. Phys. B 844, pp. 26-54. 2011. .ISSN: 0550-3213. [url] [bib]
Manuel Kauers, Carsten Schneider. A Refined Denominator Bounding Algorithm for Multivariate Linear Difference Equations. In: Proceedings of ISSAC 2011, Anton Leykin (ed.), pp. 201-208. 2011. 978-1-4503-0675-1. [pdf] [ps] [bib]
H. Prodinger, C. Schneider, S. Wagner. Unfair permutations. Europ. J. Comb. 32, pp. 1282-1298. 2011. ISSN: 0195-6698. [pdf] [bib]
J. Ablinger, J. Bluemlein, C. Schneider. Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials. J. Math. Phys. 52(10), pp. 1-52. 2011. ISSN 0022-2488 . [arXiv:1007.0375 [hep-ph]]. [url] [pdf] [bib]
J. Ablinger, J. Bluemlein, S. Klein, C. Schneider, F. Wissbrock. 3-Loop Heavy Flavor Corrections to DIS with two Massive Fermion Lines. In: 19th International Workshop On Deep-Inelastic Scattering And Related Subjects (DIS 2011), , pp. -. 2011. American Institute of Physics (AIP), [url] [bib]
C. Schneider. Parameterized Telescoping Proves Algebraic Independence of Sums. Ann. Comb. 14(4), pp. 533-552. 2010. ISSN 0218-0006. arXiv:0808.2596. [pdf] [bib]
C. Schneider. A Symbolic Summation Approach to Find Optimal Nested Sum Representations. In: Motives, Quantum Field Theory, and Pseudodifferential Operators, A. Carey, D. Ellwood, S. Paycha, S. Rosenberg (ed.), Clay Mathematics Proceedings 12, pp. 285-308. 2010. Amer. Math. Soc, ISBN-10: 0-8218-5199-3. arXiv:0904.2323 . [pdf] [bib]
C. Schneider. Structural Theorems for Symbolic Summation. Appl. Algebra Engrg. Comm. Comput. 21(1), pp. 1-32. 2010. ISSN 0938-1279. [pdf] [bib]
Manuel Kauers, Carsten Schneider. Partial Denominator Bounds for Partial Linear Difference Equations. In: Proceedings of ISSAC'10, Stephen Watt (ed.), pp. 211-218. 2010. 978-1-4503-0150-3. [pdf] [ps] [bib]
J. Ablinger, J. Bluemlein, S. Klein, C. Schneider. Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams . Nucl. Phys. B (Proc. Suppl.) 205-206, pp. 110-115. 2010. ISSN 0550-3213. arXiv::1006.4797 [math-ph], DESY-10-090, SFB-CPP-10-53, TTK-10-37. [url] [bib]
J. Ablinger, I. Bierenbaum, J. Bluemlein, A. Hasselhuhn, S. Klein, C. Schneider, F. Wissbrock. Heavy Flavor DIS Wilson coefficients in the asymptotic regime . Nucl. Phys. B (Proc. Suppl.) 205-206, pp. 242-249. 2010. ISSN 0550-3213. arXiv::1007.0375 [hep-ph], DESY-10-093, SFB-CPP-10-58, TTK-10-38. [url] [bib]
C. Schneider, R. Osburn. Gaussian Hypergeometric series and supercongruences. Math. Comp. 78(267), pp. 275-292. 2009. ISSN 0025-5718. [url] [pdf] [bib]
Peter Paule, Bruno Buchberger, Lena Kartashova, Manuel Kauers, Carsten Schneider, Franz Winkler. Algorithms in Symbolic Computation. In: Hagenberg Research, Bruno Buchberger et al. (ed.), Chapter 1, pp. 5-62. 2009. Springer, 978-3-642-02126-8. [pdf] [bib]
J. Bluemlein, M. Kauers, S. Klein, C. Schneider. Determining the closed forms of the {$O(a_s^3)$} anomalous dimensions and {W}ilson coefficients from {M}ellin moments by means of computer algebra. Comput. Phys. Comm. 180, pp. 2143-2165. 2009. ISSN 0010-4655. [pdf] [bib]
S. Gerhold, L. Glebsky, C. Schneider, H. Weiss, B. Zimmermann. Computing the complexity for schelling segregation models. Communications in Nonlinear Science and Numerical Simulations 13, pp. 2236-2245. 2008. ISSN 1007-5704. [pdf] [bib]
C. Schneider. A Refined Difference Field Theory for Symbolic Summation. J. Symbolic Comput. 43(9), pp. 611-644. 2008. ISSN 0747-7171. arXiv:0808.2543 [cs.SC]. [pdf] [bib]
Manuel Kauers , Carsten Schneider. Automated Proofs for Some Stirling Number Identities. The Electronic Journal of Combinatorics 15(1), pp. 1-7. 2008. ISSN 1077-8926. R2. [pdf] [ps] [bib]
M. Kuba, H. Prodinger, C. Schneider. Generalized Reciprocity Laws for Sums of Harmonic Numbers. INTEGERS. Electronic Journal of Combinatorial Number Theory 8(A17), pp. 1-20. 2008. ISSN 1553-1732. [url] [pdf] [bib]
I. Bierenbaum, J. Bluemlein, S. Klein, C. Schneider. Two-Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to $O!(epsilon)$. Nucl.Phys. B 803(1-2), pp. 1-41. November 2008. ISSN: 0550-3213. [url] [pdf] [bib]
J. Bluemlein, M. Kauers, S. Klein, C. Schneider. From moments to functions in higher order QCD . In: Proc. of Science, - (ed.), Proceedings of XII Advanced Computing and Analysis Techniques in Physics Research PoS(ACAT08)106, pp. 1-7. 2008. ISSN 1824-8039. [pdf] [bib]
C. Schneider, R. Pemantle. When is 0.999... equal to 1?. Amer. Math. Monthly 114(4), pp. 344-350. 2007. ISSN 0002-9890. Preliminary version online. [ps] [pdf] [bib]
C. Schneider. Simplifying Sums in ${\Pi}{\Sigma}^*$-Extensions. J. Algebra Appl. 6(3), pp. 415-441. 2007. ISSN: 0219-4988. Preliminary version online. [ps] [pdf] [bib]
C. Schneider. Symbolic Summation Assists Combinatorics. Sem. Lothar. Combin. 56, pp. 1-36. 2007. ISSN 1286-4889. Article B56b. [url] [ps] [pdf] [bib]
C. Schneider. {A}p\'{e}ry's Double Sum is Plain Sailing Indeed. Electron. J. Combin. 14(N5), pp. 1-3. 2007. ISSN 1077-8926. [url] [ps] [pdf] [bib]
M. Kauers, C. Schneider. Symbolic Summation with Radical Expressions. In: Proceedings of ISSAC'07, Christopher W. Brown (ed.), pp. 219-226. 2007. isbn 978-1-59593-743-8. [pdf] [ps] [bib]
P. Paule, C. Schneider. Truncating Binomial Series with Symbolic Summation. INTEGERS. Electronic Journal of Combinatorial Number Theory 7(A22), pp. 1-9. 2007. ISSN 1553-1732. [url] [pdf] [bib]
C. Schneider. Parameterized telescoping proves algebraic independence of sums. 2007. Poster presentation at FPSAC 2007. [url] [pdf] [pdf] [bib]
I. Bierenbaum, J. Blümlein, S. Klein, C. Schneider. Difference equations in massive higher order calculations. In: Proc. ACAT 2007, - (ed.)PoS(ACAT)082, pp. 1-15. 2007. ISSN 18248039. [url] [pdf] [bib]
S. Moch, C. Schneider. Feynman integrals and difference equations. In: Proc. ACAT 2007, - (ed.)PoS(ACAT)083, pp. 1-11. 2007. ISSN 18248039. [url] [pdf] [bib]
C. Schneider. Multi-Summation in Difference Fields. 2007. Habilitation, [bib]
K. Driver, H. Prodinger, C. Schneider, A. Weideman. Pad'e Approximations to the logarithm II: Identities, recurrences, and symbolic computation. Ramanujan Journal 11(2), pp. 139-158. April 2006. ISSN 1382-4090. Preliminary version online. [url] [pdf] [ps] [bib]
K. Driver, H. Prodinger, C. Schneider, A. Weideman. Pad'e approximations to the logarithm III: Alternative methods and additional results. Ramanujan Journal 12(3), pp. 299-314. 2006. ISSN 1382-4090. Preliminary version online. [ps] [pdf] [ps] [bib]
C. Schneider. Some notes on ``When is 0.999... equal to 1?''. In: Mathematics, Algorithms, Proofs, T. Coquand et al. (ed.), Dagstuhl Seminar Proceedings 05021, pp. 1-3. 2006. Internationales Begegnungs- und Forschungszentrum (IBFI), Schloss Dagstuhl, Germany, ISSN 1862-4405. [url] [pdf] [bib]
M. Kauers, C. Schneider. Indefinite summation with unspecified summands. Discrete Math. 306(17), pp. 2073-2083. 2006. ISSN 0012-365X. Preliminary version online. [pdf] [bib]
M. Kauers, C. Schneider. Application of unspecified sequences in symbolic summation. In: Proceedings of ISSAC'06, Jean-Guillaume Dumas (ed.), Proceedings of ISSAC'06, pp. 177-183. 2006. ACM Press, [pdf] [ps] [bib]
A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, J. Schoeberl. Hypergeometric Summation Algorithms for High Order Finite Elements. Computing 78(3), pp. 235-249. 2006. ISSN 0010-485X. Preliminary version available. [pdf] [ps] [bib]
P. Paule, V. Pillwein, C. Schneider, J. Schöberl. Hypergeometric Summation Techniques for High Order Finite Elements. In: PAMM, , Proceedings of GAMM Annual Meeting 2006 - Berlin6/1, pp. 689-690. 2006. Wiley InterScience, Weinheim, ISBN. DOI: 10.1002/pamm.200610325. [bib]
C. Schneider. Product Representations in $\Pi\Sigma$-Fields. Annals of Combinatorics 9(1), pp. 75-99. 2005. ISSN 0218-0006. Preliminary version online. [ps] [pdf] [bib]
C. Schneider. A new Sigma approach to multi-summation. Advances in Applied Math. Special Issue Dedicated to Dr. David P. Robbins. Edited by D. Bressoud 34(4), pp. 740-767. 2005. ISSN 0196-8858. Preliminary version online. [pdf] [ps] [bib]
G. E. Andrews, P. Paule, C. Schneider. Plane Partitions VI: Stembridge's TSPP Theorem. Advances in Applied Math. Special Issue Dedicated to Dr. David P. Robbins. Edited by D. Bressoud 34(4), pp. 709-739. 2005. ISSN 0196-8858. Preliminary version online. [pdf] [ps] [bib]
C. Schneider. Degree Bounds To Find Polynomial Solutions of Parameterized Linear Difference Equations in $\Pi\Sigma$-Fields. Appl. Algebra Engrg. Comm. Comput. 16(1), pp. 1-32. 2005. ISSN 0938-1279. Preliminary version online. [pdf] [ps] [bib]
C. Schneider. Solving Parameterized Linear Difference Equations in Terms of Indefinite Nested Sums and Products. J. Differ. Equations Appl. 11(9), pp. 799-821. 2005. ISSN 1023-6198. Preliminary version online. [ps] [pdf] [bib]
C. Schneider. Finding Telescopers with Minimal Depth for Indefinite Nested Sum and Product Expressions (Extended Version). J. Kepler University Linz. Technical report no. 2005-08, 2005. SFB-Report. [ps] [pdf] [bib]
C. Schneider. Finding Telescopers with Minimal Depth for Indefinite Nested Sum and Product Expressions. In: Proc. ISSAC'05, M. Kauers (ed.), pp. 285-292. 2005. ACM, ISBN 1-59593-095-705/0007. [pdf] [ps] [bib]
C. Schneider. Symbolic Summation with Single-Nested Sum Extensions (Extended Version). J. Kepler University, Linz. Technical report no. 2004-7, 2004. Published in Proc. ISSAC'04. SFB-Report. [pdf] [ps] [bib]
C. Schneider. Symbolic Summation with Single-Nested Sum Extensions. In: Proc. ISSAC'04, J. Gutierrez (ed.), pp. 282-289. 2004. ACM Press, ISBN 1-58113-827-X. [pdf] [ps] [bib]
C. Schneider. The summation package Sigma: Underlying principles and a rhombus tiling application. Discrete Math. Theor. Comput. Sci. 6(2), pp. 365-386. 2004. ISSN 1365-8050. [url] [pdf] [ps] [bib]
G.E. Andrews, P. Paule, C. Schneider. Plane Partition VI: Stembridge's TSPP Theorem -- A detailed algorithmic proof. Technical report no. 04-08 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. May 2004. [ps] [pdf] [bib]
C. Schneider. A Collection of Denominator Bounds to Solve Parameterized Linear Difference Equations in ${\Pi}{\Sigma}$-Extensions. An. Univ. Timisoara Ser. Mat.-Inform. 42(2), pp. 163-179. 2004. ISSN 1224-970x. Extended version of Proc. SYNASC'04; preliminary version online. [pdf] [ps] [bib]
P. Paule, C. Schneider. Computer proofs of a new family of harmonic number identities. Adv. in Appl. Math. 31(2), pp. 359-378. 2003. ISSN 0196-8858. Preliminary version online. [ps] [pdf] [bib]
C. Schneider. How one can play with sums. In: Proceedings of the 8th Rhine Workshop on Computer Algebra, H. Kredel, W. Seiler (ed.), pp. 73-83. 2002. Mannheim, Germany, -. Preliminary version online. [ps] [pdf] [bib]
C. Schneider. Symbolic Summation in Difference Fields. RISC, J. Kepler University Linz. PhD Thesis. May 2001. (published as Technical report no. 01-17 in RISC Report Series.). [ps] [pdf] [bib]
C. Schneider. An Implementation of {K}arr's Summation Algorithm in Mathematica. Sem. Lothar. Combin. S43b, pp. 1-10. 2000. ISSN 1286-4889. [url] [pdf] [ps] [bib]
C. Schneider. Implementierung von Automaten-Algorithmen mit Hilfe von binären Entscheidungsdiagrammen. Lehrstuhl für Künstliche Intelligenz (Informatik VIII), Friedrich Alexander Universität Erlangen-Nürnberg. Diploma Thesis. 1997. (Engl. translation: Implementation of Algorithms for Automatons with Binary Decision Diagrams - BDD). Diploma Thesis. [ps] [pdf] [bib]