On Kloosterman sums over finite fields of characteristic 3

Published 23 Jan 2016 in math.NT and math.CO | (1601.07039v1)

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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