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 (7)

• The Multiple Zeta Value Data Mine
• Massive Feynman diagrams and inverse binomial sums
• Iterated Binomial Sums and their Associated Iterated Integrals
• Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order epsilon-expansion of generalized hypergeometric functions with one half-integer value of parameter
• Multiple polylogarithm values at roots of unity
• Quadratic transformations and Guillera's formulae for $1/{\pi }^2$
• 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