225 citations · 3.5k across the 94 of their papers we have counts for
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Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages Sigma, EvaluateMultiSums and SumProduction
Carsten Schneider
A large class of Feynman integrals, like e.g., two-point parameter integrals with at most one mass and containing local operator insertions, can be transformed to multi-sums over h…
Fast Algorithms for Refined Parameterized Telescoping in Difference Fields
Carsten Schneider
Parameterized telescoping (including telescoping and creative telescoping) and refined versions of it play a central role in the research area of symbolic summation. Karr introduce…
Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order
Stefan Gerhold, Manuel Kauers, Christoph Koutschan +3
We employ computer algebra algorithms to prove a collection of identities involving Bessel functions with half-integer orders and other special functions. These identities appear i…
Simplifying Multiple Sums in Difference Fields
Carsten Schneider
In this survey article we present difference field algorithms for symbolic summation. Special emphasize is put on new aspects in how the summation problems are rephrased in terms o…