A. Sebbar

activity

20092020

most citedEisenstein series and modular differential equations

15 citations · 15 across the 7 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

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…

math-ph2020

Hadamard's variational formula and the energy-momentum tensor

Björn Gustafsson, Ahmed Sebbar

The Hadamard variational formula for the Green function is formulated in terms of a polarized energy-momentum tensor and a strain tensor. This is elaborated in a general setting of…

Harmonic Analysis of some arithmetical functions

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

Hadamard's variational formula and the energy-momentum tensor

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