Hybrid mean value on the difference between an integer and its inverse modulo q

作者:Liu Huaning*; Zhang Wenpeng
来源:Arkiv for Matematik, 2008, 46(2): 337-347.
DOI:10.1007/s11512-008-0072-2

摘要

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.