On Kloosterman sums over finite fields of characteristic 3
Number Theory
2016-01-27 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.1601.07039,
title = {On Kloosterman sums over finite fields of characteristic 3},
author = {Leonid Bassalygo and Victor Zinoviev},
journal= {arXiv preprint arXiv:1601.07039},
year = {2016}
}