This paper deals with the fractional calculus of zeta functions. In particular, the study is focused on the Hurwitz ζ \zeta function. All the results are based on the complex generalization of the Grünwald-Letnikov fractional ...

In this paper we show novel underlying connections between fractional powers of the Laplacian on the unit sphere and functions from analytic number theory and differential geometry, like the Hurwitz zeta function and the ...

In the first chapter of this thesis a calculation method is presented for the zeros of Dirichlet series with periodic coefficients. This applies method to the Dirichlet series of Davenport and Heilbronn (see reference [12]) ...

Esse trabalho trata de noções fundamentais de Teoria Analítica dos Números, cobrindo tópicos como funções aritmética e algumas propriedades, exemplos de funções aritméticas relevantes para a teoria dos números, além de ...

In this article, a new perspective for obtaining the magnetic evolution of π-π scattering lengths in the linear sigma model is presented. When computing the relevant one-loop diagrams that contribute to these parameters, ...