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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

Liangjie Ye. Complex Analysis Based Computer Algebra Algorithms for Proving Jacobi Theta Function Identities. RISC and the DK program Linz. PhD Thesis. 2017. Updated version in June 2017. [pdf] [bib]
F. Johansson. Fast and rigorous computation of special functions to high precision. RISC. PhD Thesis. 2014. [pdf] [bib]
Thomas Ponweiser. Computer Algebra and Analysis: Complex Variables Visualized. RISC Institute, JKU Linz, Austria. Diploma Thesis. 2014. [pdf] [bib]
Alexander Hasselhuhn. 3-loop contributions to heavy flavor Wilson coefficients of neutral and charged current DIS. TU Dortmund University. PhD Thesis. 2013. [url] [bib]
Maximilian Jaroschek. Removable Singularities of Ore Operators. RISC. PhD Thesis. November 2013. [pdf] [bib]
J. Ablinger. Computer Algebra Algorithms for Special Functions in Particle Physics. J. Kepler University Linz. PhD Thesis. April 2012. [pdf] [bib]
Clemens G. Raab. Definite Integration in Differential Fields. Johannes Kepler Universität Linz, Austria. PhD Thesis. August 2012. [pdf] [bib]
Cristian-Silviu Radu. An Algorithmic Approach to Ramanujan’s Congruences and Related Problems. RISC-JKU. PhD Thesis. 2012. [pdf] [bib]
Zafeirakis Zafeirakopoulos. Linear Diophantine Systems: Partition Analysis and Polyhedral Geometry. Research Institute for Symbolic Computation / DK-compmath. PhD Thesis. December 2012. [pdf] [bib]
Burcin Erocal. Algebraic extensions for summation in finite terms. RISC, Johannes Kepler University, Linz. PhD Thesis. February 2011. [pdf] [bib]
Christoph Fuerst. Combinatorial Sums: Egorychev's Method of Coefficients and Riordan Arrays. RISC, Johannes Kepler University Linz. Diploma Thesis. March 2011. [pdf] [bib]
Yongjae Cha. Closed Form Solutions of Linear Difference Equations. Florida State University. PhD Thesis. 2010. [url] [bib]
Silviu Radu. An algorithmic approach to Ramanujan's congruences and related problems. RISC Linz. PhD Thesis. 2010. [bib]
Flavia Stan. Algorithms for Special Functions: Computer Algebra and Analytical Aspects. RISC, Johannes Kepler University Linz. PhD Thesis. June 2010. RISC technical report 10-19. [pdf] [bib]
Jakob Ablinger. A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics. Johannes Kepler University. Diploma Thesis. February 2009. [pdf] [bib]
Christoph Koutschan. Advanced Applications of the Holonomic Systems Approach. RISC-Linz, Johannes Kepler University. PhD Thesis. September 2009. [url] [pdf] [bib]
Karin Nachbagauer. Power Series Solutions to Holonomic Differential Equations and the General Algebraic Equation. Johannes Kepler University Linz. Diploma Thesis. 2009. The thesis also appeared as RISC report 09-15.. Diploma thesis. [pdf] [bib]
Manuela Wiesinger. Contributions to MacMahon's Partition Analysis. Johannes Kepler University. Diploma Thesis. January 2009. RISC Report 09-05. [pdf] [bib]
Veronika Pillwein. Computer Algebra Tools for Special Functions in High Order Finite Element Methods. Johannes Kepler University Linz. PhD Thesis. 2008. [ps] [pdf] [bib]
S. Gerhold. Combinatorial Sequences: Non-Holonomicity and Inequalities. RISC, J. Kepler University Linz. PhD Thesis. August 2005. [pdf] [bib]
Manuel Kauers. Algorithms for Nonlinear Higher Order Difference Equations. RISC-Linz. PhD Thesis. October 2005. [ps] [ps] [bib]
Christoph Koutschan. Regular Languages and Their Generating Functions: The Inverse Problem. Friedrich-Alexander-Universität Erlangen-Nürnberg. Diploma Thesis. August 2005. [url] [pdf] [bib]
M. Semrad. Special Functions, Computer Proofs and the DLMF. RISC, J. Kepler University Linz. Diploma Thesis. 2005. [bib]
F. Caruso. Polynomial Arithmetic and Linear Systems in Symbolic Summation. RISC Linz. PhD Thesis. 2002. [bib]
S. Gerhold. Uncoupling Systems of Linear Ore Operator Equations. RISC, J. Kepler University Linz. Diploma Thesis. 2 2002. [ps] [ps] [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. Weixlbaumer. Solutions of Difference Equations With Polynomial Coefficients. RISC, J. Kepler University Linz. Diploma Thesis. 2001. [pdf] [bib]
A. Riese. Contributions to Symbolic q-Hypergeometric Summation. RISC, J. Kepler University Linz. PhD Thesis. 1997. [pdf] [bib]
M. Rosenkranz. Lagrange Inversion. RISC, J. Kepler University Linz. Diploma Thesis. 1997. [pdf] [ps] [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]
K. Wegschaider. Computer Generated Proofs of Binomial Multi-Sum Identities. RISC, J. Kepler University. Diploma Thesis. May 1997. [ps] [bib]
C. Mallinger. Algorithmic Manipulations and Transformations of Univariate Holonomic Functions and Sequences. RISC, J. Kepler University. Diploma Thesis. August 1996. [ps] [pdf] [bib]
A. Riese. A Mathematica q-Analogue of Zeilberger's Algorithm for Proving q-Hypergeometric Identities. RISC, J. Kepler University Linz. Diploma Thesis. 1995. [pdf] [bib]
M. Schorn. Contributions to Symbolic Summation. RISC, J. Kepler University. Diploma Thesis. December 1995. [ps] [pdf] [bib]
P. Lisonek. Computer-assisted Studies in Algebraic Combinatorics. RISC, J. Kepler University Linz. PhD Thesis. 1994. [pdf] [ps] [bib]
R. Pirastu. Algorithmen zur Summation rationaler Funktionen. University of Erlangen-Nürnberg. Diploma Thesis. 1992. [pdf] [ps] [bib]