General Kloosterman Sums and the Difference Between an Integer and Its Inverse Modulo Q

Authors
Liu, Hua Ning Zhang, Wen Peng
Citation
Liu, Hua Ning et Zhang, Wen Peng, General Kloosterman Sums and the Difference Between an Integer and Its Inverse Modulo Q, Acta mathematica Sinica. English series (Print) , 23(1), 2007, pp. 77-82
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
1
Year of publication
2007
Pages
77 - 82
Database
ACNP
SICI code
Abstract
The main purpose of this paper is to use the generalized Bernoulli numbers, Gauss sums and the mean value theorems of Dirichlet L.functions to study the asymptotic property of one class of number.theoretic functions, and to give four interesting hybrid mean value formulae.