A note on the distinctness of some Kloosterman sums
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DOI: 10.1007/s12095-020-00443-1
Abstract: The Fischer result about distinctness of the Kloosterman sums on F ∗ p is extended for the finite fields of degrees of extension that are powers of 2. To obtain the desired outcome, we give… read more here.
Keywords: note distinctness; kloosterman; kloosterman sums; distinctness kloosterman ... See more keywords
Supercharacters, elliptic curves, and the sixth moment of Kloosterman sums
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DOI: 10.1016/j.jnt.2019.01.004
Abstract: We connect the sixth power moment of Kloosterman sums to elliptic curves. This yields an elementary proof that $K_u$ with $p\nmid u$ are $O(p^{2/3})$. read more here.
Keywords: elliptic curves; kloosterman sums; moment kloosterman; supercharacters elliptic ... See more keywords
The distribution of the maximum of partial sums of Kloosterman sums and other trace functions
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DOI: 10.1112/s0010437x21007351
Abstract: In this paper, we investigate the distribution of the maximum of partial sums of families of $m$-periodic complex-valued functions satisfying certain conditions. We obtain precise uniform estimates for the distribution function of this maximum in… read more here.
Keywords: distribution maximum; sums kloosterman; kloosterman sums; partial sums ... See more keywords
Elementary Proof of an Estimate for Kloosterman Sums with Primes
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DOI: 10.1134/s0001434618050085
Abstract: A new elementary proof of an estimate for incomplete Kloosterman sums modulo a prime q is obtained. Along with Bourgain’s 2005 estimate of the double Kloosterman sum of a special form, it leads to an… read more here.
Keywords: proof estimate; kloosterman; estimate; elementary proof ... See more keywords
Trilinear forms with double Kloosterman sums
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DOI: 10.1142/s1793042118501312
Abstract: We obtain several estimates for trilinear form with double Kloosterman sums. In particular, these bounds show the existence of nontrivial cancellations between such sums. read more here.
Keywords: double kloosterman; forms double; trilinear forms; kloosterman sums ... See more keywords