An exact renormalization formula for Gaussian exponential sums and applications
Mathematical Physics
2009-09-17 v1 math.MP
Abstract
In the present paper, we derive a renormalization formula "\`a la Hardy-Littlewood" for the Gaussian exponential sums with an exact formula for the remainder term. We use this formula to describe the typical growth of the Gaussian exponential sums.
Cite
@article{arxiv.0909.3079,
title = {An exact renormalization formula for Gaussian exponential sums and applications},
author = {Alexander Fedotov and Frédéric Klopp},
journal= {arXiv preprint arXiv:0909.3079},
year = {2009}
}