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http://dx.doi.org/10.4134/BKMS.2012.49.6.1303

ON THE MEAN VALUES OF L(1, χ)  

Wu, Zhaoxia (Department of Mathematics Northwest University)
Zhang, Wenpeng (Department of Mathematics Northwest University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.6, 2012 , pp. 1303-1310 More about this Journal
Abstract
Let $p$ > 2 be a prime, and let $k{\geq}1$ be an integer. Let ${\chi}$ be a Dirichlet character modulo $p$, and let $L(s,{\chi})$ be the Dirichlet L-function corresponding to ${\chi}$. In this paper we consider the mean values of $$\sum_{{\chi}\;mod\;p\\{\chi}(-1)=-1}{\chi}(2^k)|L(1,\chi)|^2$$.
Keywords
L-function; Dirichlet character; identity;
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