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A sum analogous to the high-dimensional Kloosterman sums and its upper bound estimate

โœ Scribed by Yijun Li, Di Han

Book ID
120732598
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
165 KB
Volume
2013
Category
Article
ISSN
1025-5834

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๐Ÿ“œ SIMILAR VOLUMES

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An upper bound estimate of high-dimensional Cochrane sums is given in this note using Weinstein's version of Deligne's estimate for the hyper-Kloosterman sum and a mean value theorem of Dirichlet L-functions.

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The main purpose of this paper is using the mean value theorem of the Dirichlet L-functions to study the distribution property of a sums analogous to the Dedekind sums, and give an interesting mean square value formula.

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The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the asymptotic property of the sums analogous to Dedekind sums and give a sharper first power mean value formula.