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Double Lerch Value Relations and Functional Relations for Witten Zeta Functions

Double Lerch Value Relations and Functional Relations for Witten Zeta Functions

In this paper, we obtain functional relations for Witten zeta functions by using relations of double Lerch values.By these functional relations, we obtain new proofs of known results on the Tornheim double zeta values, the Euler-Zagier double zeta values, and their alternating and character analogues.