A. Sebbar

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20182020

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math.NT2020

Harmonic Analysis of some arithmetical functions

Roger Gay, Ahmed Sebbar

We study three functions which are power series in the variable $z$ , Dirichlet series in the variable $s$ and with coefficients given by arithmetical functions. A strong point is t…

math.NT2020

Arithmetic and Analysis of the series $n = 1 \sum \infty \frac{1}{n} sin \frac{x}{n}$

Roger Gay, Ahmed Sebbar

In this paper we connect a celebrated theorem of Nyman and Beurling on the equivalence between the Riemann hypothesis and the density of some functional space in $L^{2} (0, 1)$ to a…

Harmonic Analysis of some arithmetical functions

Arithmetic and Analysis of the series n=1∑∞​n1​sinnx​

Arithmetic and Analysis of the series $n = 1 \sum \infty \frac{1}{n} sin \frac{x}{n}$