Identities involving the coefficients of a class of Dirichlet series. V, VI

Berndt, Bruce C.

doi:10.1090/S0002-9947-1971-0280693-9

Identities involving the coefficients of a class of Dirichlet series. V, VI
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by Bruce C. Berndt

Trans. Amer. Math. Soc. 160 (1971), 157-167

DOI: https://doi.org/10.1090/S0002-9947-1971-0280693-9

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Abstract:

In 1949 Chowla and Selberg gave a very useful formula for the Epstein zeta-function associated with a positive definite binary quadratic form. Several generalizations of this formula are given here. The method of proof is new and is based on a theorem that we formerly proved for “generalized” Dirichlet series. An easy proof of Kronecker’s second limit formula is also given.

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