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January 2010 On the mean value of general Cochrane sum
Dongmei Ren, Yuan Yi
Proc. Japan Acad. Ser. A Math. Sci. 86(1): 1-5 (January 2010). DOI: 10.3792/pjaa.86.1

Abstract

In this paper, the general Cochrane sum is defined. The main purpose is to study the mean square value problem of general Cochrane sum by using the estimates for trigonometric sums and the properties of general Kloosterman sum, and finally give a sharp asymptotic formula.

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Dongmei Ren. Yuan Yi. "On the mean value of general Cochrane sum." Proc. Japan Acad. Ser. A Math. Sci. 86 (1) 1 - 5, January 2010. https://doi.org/10.3792/pjaa.86.1

Information

Published: January 2010
First available in Project Euclid: 31 December 2009

zbMATH: 1195.11056
MathSciNet: MR2598816
Digital Object Identifier: 10.3792/pjaa.86.1

Subjects:
Primary: 11F20 , 11L03 , 11L05

Keywords: Cochrane sum , Gauss sum , Kloosterman sum , Legendre's symbol

Rights: Copyright © 2010 The Japan Academy

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Vol.86 • No. 1 • January 2010
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