Kloosterman sums in residue classes
Number Theory
2020-04-28 v1
Abstract
We prove upper bounds for sums of Kloosterman sums against general arithmetic weight functions. In particular, we obtain power cancellation in sums of Kloosterman sums over arithmetic progressions, which is of square-root strength in any fixed primitive congruence class up to bounds towards the Ramanujan conjecture.
Keywords
Cite
@article{arxiv.1410.4538,
title = {Kloosterman sums in residue classes},
author = {Valentin Blomer and Djordje Milićević},
journal= {arXiv preprint arXiv:1410.4538},
year = {2020}
}
Comments
14 pages, to appear in the Journal of the European Mathematical Society