Speaker
Carsten Schneider
Description
We report on a collection of computer algebra algorithms and their implementations that have been used in recent calculations of massive and massless 3-loop Feynman integrals. Among them we will focus on symbolic summation and integration methods, (partial) linear differential and difference equation solvers and the large moment method. A specific feature of all the techniques is that the representation of the closed form output can be given within the class of iterative integrals and sums defined over general letters in terms hyperexponential functions and hypergeometric products.