On Fourier and Zeta(s)
Number Theory
2009-09-25 v6
Abstract
We study some of the interactions between the Fourier Transform and the Riemann zeta function (and Dirichlet-Dedekind-Hecke-Tate L-functions)
Cite
@article{arxiv.math/0112254,
title = {On Fourier and Zeta(s)},
author = {Jean-Francois Burnol},
journal= {arXiv preprint arXiv:math/0112254},
year = {2009}
}
Comments
50 pages. Oct 2002: Final ms, to appear in Forum Mathematicum. March 2003: we have become aware that Duffin and Weinberger had discovered earlier the ``co-Poisson formula''. See added footnote on page 3. Our whole analysis, and especially the connections with the zeta function, remains a novel contribution