On the Gauss sums and generalized Bernoulli numbers

Using the properties of primitive characters, Gauss sums, and the Ramanujan sum, we study two hybrid mean values of Gauss sums and generalized Bernoulli numbers and give two asymptotic formulas.

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Bibliographic Details
Date:2012
Main Authors: Gao, J., Liu, H.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
Series:Український математичний журнал
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the Gauss sums and generalized Bernoulli numbers / J. Gao, H. Liu // Український математичний журнал. — 2012. — Т. 64, № 6. — С. 848-854. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:Using the properties of primitive characters, Gauss sums, and the Ramanujan sum, we study two hybrid mean values of Gauss sums and generalized Bernoulli numbers and give two asymptotic formulas.