The analytic integration and simplification of multi-loop Feynman integrals to special
functions and constants plays an important role to perform higher order perturbative …

Part 1. Symbolic summation methods and applications Page 1 Séminaire Lotharingien de
Combinatoire 56 (2007), Article B56b SYMBOLIC SUMMATION ASSISTS COMBINATORICS …

A large class of Feynman integrals, like eg, two-point parameter integrals with at most one
mass and containing local operator insertions, can be transformed to multi-sums over …

The described algorithms enable one to find all solutions of parameterized linear difference
equations within ΠΣ-fields, a very general class of difference fields. These algorithms can be …

The aim of this article is twofold: on the one hand it is intended to serve as a gentle
introduction to the topic of creative telesco**, from a practical point of view; for this …

An important application of solving parameterized linear difference equations in ΠΣ-fields, a
very general class of difference fields, is simplifying of multi-sum expressions and proving of …

Parameterized telesco** (including telesco** and creative telesco**) and refined
versions of it play a central role in the research area of symbolic summation. In 1981 Karr …

A general overview of the existing difference ring theory for symbolic summation is given.
Special emphasis is put on the user interface: the translation and back translation of the …

An important application of solving parameterized linear difference equations in ΠΣ-fields, a
very general class of difference fields, is simplifying and proving of nested multisum …

The conjecture that the orbit-counting generating function for totally symmetric plane
partitions can be written as an explicit product formula has been stated independently by …