A case study for $\zeta (4)$

Abstract

Using symbolic summation tools in the setting of difference rings, we prove a two-parametric identity that relates rational approximations to $\zeta (4)$.

13 pages

References in corpus (4)

• A Refined Difference Field Theory for Symbolic Summation
• Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra
• Hypergeometric rational approximations to $\zeta (4)$
• Two Definite Integrals That Are Definitely (and Surprisingly!) Equal

Cited by in corpus (1)

• The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals