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One special kind of Kloosterman sum and its fourth-power mean

open access: yesOpen Mathematics
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.
Zhang Wenpeng, Wang Li, Liu Xiaoge
doaj   +1 more source

Generalized quadratic Gauss sums and their 2mth power mean

open access: yesOpen Mathematics
The main purpose of this article is to study the problem of calculating the 2mth power mean of the generalized quadratic Gauss sums, and using the analytic method and an interesting combinatorial identity to give a sharp asymptotic formula for the 2mth ...
Cui Dewang, Zhang Wenpeng
doaj   +1 more source
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Prime numbers in two bases

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La somme des chiffres des carrés

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Heating a Torus with Number Theory

Mathematics Magazine, 2019
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Residue theorem for rational trigonometric sums and Verlinde's formula

Duke Mathematical Journal, 2003
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