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Cancellations between Kloosterman sums modulo a prime power with prime arguments

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.

preprint2016arXivOpen access
Kui LiuIgor E. ShparlinskiTianping Zhang
math.NT
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Kui LiuIgor E. ShparlinskiTianping Zhang

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