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1. Fourier transforms related to ΞΆ(s)

Author

Pablo Andres Panzone

Subjects
Pure mathematics, symbols.namesake, Fourier transform, General Mathematics, 010102 general mathematics, symbols, 010103 numerical & computational mathematics, 0101 mathematics, 01 natural sciences, Dirichlet series, Mathematics, Riemann zeta function, Ramanujan's sum
Abstract

Using some formulas of S. Ramanujan, we compute in closed form the Fourier transform of functions related to Riemann zeta function $\zeta (s)=\sum \nolimits _{n=1}^{\infty } {1}/{n^{s}}$ and other Dirichlet series.

Published
2021

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