Exponential sums with multiplicative coefficients and applications
Number Theory
2021-04-01 v1
Abstract
We show that if an exponential sum with multiplicative coefficients is large then the associated multiplicative function is "pretentious". This leads to applications in the circle method, and a natural interpretation of the local-global principle.
Cite
@article{arxiv.2103.16648,
title = {Exponential sums with multiplicative coefficients and applications},
author = {Régis de la Bretèche and Andrew Granville},
journal= {arXiv preprint arXiv:2103.16648},
year = {2021}
}