Small gaps in coefficients of L-functions and B-free numbers in small intervals
Number Theory
2007-05-23 v1
Abstract
We discuss questions related to the non-existence of gaps in the series defining modular forms and other arithmetic functions of various types, and improve results of Serre, Balog and Ono, and Alkan, using new results about exponential sums and the distribution of -free numbers.
Cite
@article{arxiv.math/0507001,
title = {Small gaps in coefficients of L-functions and B-free numbers in small intervals},
author = {Emmanuel Kowalski and Olivier Robert and Jie Wu},
journal= {arXiv preprint arXiv:math/0507001},
year = {2007}
}
Comments
37 pages