3 papers
math.NT2020
Harmonic Analysis of some arithmetical functions
Roger Gay, Ahmed Sebbar
We study three functions which are power series in the variable , Dirichlet series in the variable and with coefficients given by arithmetical functions. A strong point is t…
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…
math.DG2019
Geometric Methods in Partial Differential Equations
Ahmed Sebbar, Daniele Struppa, Oumar Wone
We study the interplay between geometry and partial differential equations. We show how the fundamental ideas we use require the ability to correctly calculate the dimensions of sp…