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arXiv · 1601.07039

On Kloosterman sums over finite fields of characteristic 3

Leonid Bassalygo·Victor Zinoviev
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Abstract

We study the divisibility by 3^k of Kloosterman sums K(a) over finite fields of characteristic 3. We give a new recurrent algorithm for finding the largest k, such that 3^k divides the Kloosterman sum K(a). This gives a new simple test for zeros of such Kloosterman sums.

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Leonid Bassalygo, Victor Zinoviev. 2016-01-23. On Kloosterman sums over finite fields of characteristic 3. https://arxiv.org/abs/1601.07039

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