Multiple zeta values, WZ-pairs and infinite sums computations

Abstract

We combine the powerful method of Wilf-Zeilberger pairs with systematic theory of multiple zeta values to prove a large number of series identities due to Z.W. Sun, many of them have been long standing conjectures.

References in corpus (3)

• Iterated Binomial Sums and their Associated Iterated Integrals
• Multiple polylogarithm values at roots of unity
• On two conjectures of Sun concerning Apéry-like series

Cited by in corpus (3)

• Wilf-Zeilberger seeds and non-trivial hypergeometric identities
• Hyper-Mahler measures via Goncharov-Deligne cyclotomy
• Explicit Evaluation of Euler-Apéry Type Multiple Zeta Star Values and Multiple $t$-Star Values