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

2010/12/06 by Takashi Nakamura, Nakamura, Takashi
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #math.NT #msc:11M32

paper · pdf · doi:10.48550/arxiv.1012.1144

4 pages. I rewrote Proposition 1.3 and its proof

arxiv created 2010/12/07 · arxiv updated 2010/12/08

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.

Related

• On functional relations for the alternating analogues of Tornheim's double zeta function
• A functional relation for Tornheim's double zeta functions
• Functional Equations of Tornheim Zeta Function and the alpha-calculus of r-th order derivative of Zeta(s,alpha)
• Functional equation, upper bounds and analogue of Lindelöf hypothesis for the Barnes double zeta-function
• The evaluation of Tornheim double sums. Part2