Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Ablinger, Jakob"'
Autor:
Ablinger, Jakob, Schneider, Carsten
We introduce a general reduction strategy that enables one to search for solutions of parameterized linear difference equations in difference rings. Here we assume that the ring itself can be decomposed by a direct sum of integral domains (using idem
Externí odkaz:
http://arxiv.org/abs/2102.03307
Autor:
Ablinger, Jakob
We extend the (continuous) multivariate Almkvist-Zeilberger algorithm in order to apply it for instance to special Feynman integrals emerging in renormalizable Quantum field Theories. We will consider multidimensional integrals over hyperexponential
Externí odkaz:
http://arxiv.org/abs/2101.11385
Autor:
Ablinger, Jakob, Uncu, Ali K.
We describe the qFunctions Mathematica package for $q$-series and partition theory applications. This package includes both experimental and symbolic tools. The experimental set of elements includes guessers for $q$-shift equations and recurrences fo
Externí odkaz:
http://arxiv.org/abs/1910.12410
Autor:
Ablinger, Jakob
We give a proof of two identities involving binomial sums at infinity conjectured by Z-W Sun. In order to prove these identities, we use a recently presented method i.e. we view the series as specializations of generating series and derive integral r
Externí odkaz:
http://arxiv.org/abs/1908.06631
Autor:
Ablinger, Jakob
We consider nested sums involving the Pochhammer symbol at infinity and rewrite them in terms of a small set of constants, such as powers of $\pi,$ $\log(2)$ or zeta values. In order to perform these simplifications, we view the series as specializat
Externí odkaz:
http://arxiv.org/abs/1902.11001
We present the color planar and complete light quark QCD contributions to the three loop heavy quark form factors in the case of vector, axial-vector, scalar and pseudo-scalar currents. We evaluate the master integrals applying a new method based on
Externí odkaz:
http://arxiv.org/abs/1807.05943
Autor:
Ablinger, Jakob
We describe how the extension of a solver for linear differential equations by Kovacic's algorithm helps to improve a method to compute the inverse Mellin transform of holonomic sequences. The method is implemented in the computer algebra package Har
Externí odkaz:
http://arxiv.org/abs/1801.01039
Cyclotomic polylogarithms are reviewed and new results concerning the special constants that occur are presented. This also allows some comments on previous literature results using PSLQ.
Externí odkaz:
http://arxiv.org/abs/1712.08541
Autor:
Ablinger, Jakob, Uncu, Ali Kemal
Publikováno v:
In Journal of Symbolic Computation November-December 2021 107:145-166
Autor:
Ablinger, Jakob, Behring, Arnd, Blümlein, Johannes, De Freitas, Abilio, Hasselhuhn, Alexander, von Manteuffel, Andreas, Round, Mark, Schneider, Carsten, Wißbrock, Fabian
Publikováno v:
PoS(QCDEV2016)052
We report on progress in the calculation of 3-loop corrections to the deep-inelastic structure functions from massive quarks in the asymptotic region of large momentum transfer $Q^2$. Recently completed results allow us to obtain the $O(a_s^3)$ contr
Externí odkaz:
http://arxiv.org/abs/1611.01104