New summation and transformation formulas of the Poisson, Muntz, Mobius and Voronoi type

Starting from the classical summation formulas and basing on properties of the Mellin transform and Ramanujan's identities, which represent a ratio of products of Riemann's zeta functions of different arguments in terms of the Dirichlet series of arithmetic functions, we obtain a number of...

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Bibliographic Details
Main Author: Semyon Yakubovich (author)
Format: article
Language:eng
Published: 2015
Subjects:
Online Access:https://repositorio-aberto.up.pt/handle/10216/90491
Country:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/90491