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
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
One special kind of Kloosterman sum and its fourth-power mean
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DOI: 10.1515/math-2024-0067
Abstract: Abstract This article aims to investigate the calculation problem of the fourth-power mean of the specific Kloosterman sums by utilizing analytic methods and the properties of classical Gauss sums. It provides a captivating calculation formula… read more here.
Keywords: special kind; kloosterman; fourth power; one special ... See more keywords