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arXiv · 1612.05905

Cancellations between Kloosterman sums modulo a prime power with prime arguments

Kui Liu·Igor E. Shparlinski·Tianping Zhang
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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.

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Kui Liu, Igor E. Shparlinski, Tianping Zhang. 2016-12-18. Cancellations between Kloosterman sums modulo a prime power with prime arguments. https://arxiv.org/abs/1612.05905

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