Simple proof of the functional relation for the Lerch type Tornheim double zeta function

Abstract

In this paper, we give a simple proof of the functional relation for the Lerch type Tornheim double zeta function. By using it, we obtain simple proofs of some explicit evaluation formulas for double $L$-values.

4 pages. I rewrote Proposition 1.3 and its proof

References in corpus (2)

• Signed q-Analogs of Tornheim's Double Series
• On functional relations for the alternating analogues of Tornheim's double zeta function

Cited by in corpus (1)

• The parity theorem for multiple polylogarithms