Mean Value on the Difference Between a Quadratic Residue and Its Inverse Modulo p
Source: Acta Mathematica Sinica, Volume 23, Number 5, May 2007 , pp. 915-924(10)
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 the difference between a quadratic residue and its inverse modulo p (a prime), and to give an interesting hybrid mean value formula.
Document Type: Research article
Publication date: 2007-05-01