Summation formulas associated with a class of Dirichlet series
The Poisson summation formula, which gives, under suitable conditions on f(x), and expression for sums of the form ^(n_2)Σ_(n=n_1) f(n) 1 ≤ n_1 < n_2 ≤ ∞ can be derived from the functional equation for the Riemann zeta-function (s). In this thesis a class of Dirichlet series is defined w...
Internet
https://thesis.library.caltech.edu/6540/1/Sklar_a_1956.pdfSklar, Abe (1956) Summation formulas associated with a class of Dirichlet series. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/F6R6-5E76. https://resolver.caltech.edu/CaltechTHESIS:07142011-113939348 <https://resolver.caltech.edu/CaltechTHESIS:07142011-113939348>