Jakob Ablinger

Publication Activity (10 Years)

Years Active: 2011-2022
Publications (10 Years): 18

Top Topics

Mellin Transform

Top Venues

Comput. Phys. Commun.

Publications

Jakob Ablinger
Discovering and Proving Infinite Pochhammer Sum Identities. Exp. Math. 31 (1) (2022)
Jakob Ablinger, Ali Kemal Uncu
-series and partition theory applications. J. Symb. Comput. 107 (2021)
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)
Jakob Ablinger
Extensions of the AZ-algorithm and the Package MultiIntegrate. CoRR (2021)
Jakob Ablinger, Carsten Schneider
Solving Linear Difference Equations with Coefficients in Rings with Idempotent Representations. ISSAC (2021)
Jakob Ablinger, Ali Kemal Uncu
qFunctions - A Mathematica package for q-series and partition theory applications. CoRR (2019)
Jakob Ablinger
Proving Two Conjectural Series for ζ (7) and Discovering More Series for ζ (7). MACIS (2019)
Jakob Ablinger, Johannes Blümlein, Mark Round, Carsten Schneider
Numerical implementation of harmonic polylogarithms to weight w = 8. Comput. Phys. Commun. 240 (2019)
Jakob Ablinger
Discovering and Proving Infinite Pochhammer Sum Identities. CoRR (2019)
Jakob Ablinger
Proving two conjectural series for ζ(7) and discovering more series for ζ(7). CoRR (2019)
Jakob Ablinger
Computing the Inverse Mellin Transform of Holonomic Sequences using Kovacic's Algorithm. CoRR (2018)
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)
Jakob Ablinger
Discovering and Proving Infinite Binomial Sums Identities. Exp. Math. 26 (1) (2017)
Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Carsten Schneider
A toolbox to solve coupled systems of differential and difference equations. CoRR (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)
Jakob Ablinger
Inverse Mellin Transform of Holonomic Sequences. 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)
Jakob Ablinger
Discovering and Proving Infinite Binomial Sums Identities. CoRR (2015)
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)
Jakob Ablinger, Johannes Blümlein, Clemens G. Raab, Carsten Schneider
Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams. CoRR (2014)
Jakob Ablinger
The package HarmonicSums: Computer Algebra and Analytic aspects of Nested Sums. CoRR (2014)
Jakob Ablinger, Johannes Blümlein
Harmonic Sums, Polylogarithms, Special Numbers, and their Generalizations 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)
Jakob Ablinger, Johannes Blümlein, Carsten Schneider
Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials CoRR (2011)