Work

Creative telescoping for hypergeometric double sums

Year: 2024

Type: article

Abstract: We present efficient methods for calculating linear recurrences of hypergeometric double sums and, more generally, of multiple sums. In particular, we supplement this approach with the algorithmic theory of contiguous relations, which guarantees the applicability of our method for many input sums. In addition, we elaborate new techniques to optimize the underlying key task of our method to compute rational solutions of parameterized linear recurrences.

Source: Journal of Symbolic Computation

DOI: 10.1016/j.jsc.2024.102394

Authors: Peter Paule, Carsten Schneider

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,880

Funder: Austrian Science Fund

Award: Computer Algebra for Multi-Loop Feynman Integrals