Abstract
For the Epstein zeta function of an n-ary positive definite quadratic form, $n - 1$ generalizations of the Selberg-Chowla formula (for the binary case) are obtained. Further, it is shown that these $n - 1$ formulas suffice to prove the functional equation of the Epstein zeta function by mathematical induction. Finally some generalizations of Kroneckerâs first limit formula are obtained.
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