Title of article :
On the mean value of L
L (1,χ) ✩
Author/Authors :
Liu Huaning ?، نويسنده , , Zhang Xiaobeng، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2006
Abstract :
Let χ be the Dirichlet character modulo q 3 and L(s,χ) denote the corresponding Dirichlet Lfunction.
The mean value of
L
L (1,χ)
2k is studied and a few asymptotic formulae are given. Hybrid
mean value of L
L (1,χ), general Kloosterman sums and general quadratic Gauss sums are considered.
© 2005 Elsevier Inc. All rights reserved
Keywords :
Dirichlet L-functions , Kloosterman sums , Quadratic Gauss sums
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications