Cancellations between Kloosterman sums modulo a prime power with prime arguments
Number Theory
2016-12-20 v1
Abstract
We obtain a nontrivial bound for cancellations between the Kloosterman sums modulo a large prime power with a prime argument running over very short interval, which in turn is based on a new estimate on bilinear sums of Kloosterman sums. These results are analogues of those obtained by various authors for Kloosterman sums modulo a prime. However the underlying technique is different and allows us to obtain nontrivial results starting from much shorter ranges.
Keywords
Cite
@article{arxiv.1612.05905,
title = {Cancellations between Kloosterman sums modulo a prime power with prime arguments},
author = {Kui Liu and Igor E. Shparlinski and Tianping Zhang},
journal= {arXiv preprint arXiv:1612.05905},
year = {2016}
}