Partition Identities for the Multiple Zeta Function

Abstract

We define a class of expressions for the multiple zeta function, and show how to determine whether an expression in the class vanishes identically. The class of such identities, which we call partition identities, is shown to coincide with the class of identities that can be derived as a consequence of the stuffle multiplication rule for multiple zeta values.

10 pages, submitted for publication October 23, 2003

Cited by in corpus (10)

• Multiple $q$-Zeta Values
• Mean value theorems for the double zeta-function
• Thirty-two Goldbach Variations
• Duality for Finite Multiple Harmonic q-Series
• On Witten multiple zeta-functions associated with semisimple Lie algebras III
• On Mordell-Tornheim sums and multiple zeta values
• Signed q-Analogs of Tornheim's Double Series
• Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems
• Renormalization of multiple zeta values
• Series of Reciprocal Powers of k-almost Primes