On functional relations for the alternating analogues of Tornheim's double zeta function

Abstract

We give new proofs of two functional relations for the alternating analogues of Tornheim's double zeta function. Using the functional relations, we give new proofs of some evaluation formulas found by H. Tsumura for these alternating series.

arXiv comment13 pages

References in corpus (1)

• Signed q-Analogs of Tornheim's Double Series

Cited by in corpus (2)

• Simple proof of the functional relation for the Lerch type Tornheim double zeta function
• A functional relation for Tornheim's double zeta functions