Open Access
October 2008 Hybrid mean value on the difference between an integer and its inverse modulo q
Huaning Liu, Wenpeng Zhang
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Ark. Mat. 46(2): 337-347 (October 2008). DOI: 10.1007/s11512-008-0072-2

Abstract

The main purpose of this paper is to study the asymptotic property of one class of number-theoretic functions and give a sharp hybrid mean-value formula by using the generalized Bernoulli numbers, Gauss sums and the mean-value theorems of Dirichlet L-functions.

Citation

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Huaning Liu. Wenpeng Zhang. "Hybrid mean value on the difference between an integer and its inverse modulo q." Ark. Mat. 46 (2) 337 - 347, October 2008. https://doi.org/10.1007/s11512-008-0072-2

Information

Received: 27 April 2006; Published: October 2008
First available in Project Euclid: 31 January 2017

zbMATH: 1229.11108
MathSciNet: MR2430730
Digital Object Identifier: 10.1007/s11512-008-0072-2

Rights: 2008 © Institut Mittag-Leffler

Vol.46 • No. 2 • October 2008
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