Selberg's central limit theorem on the critical line and the Lerch zeta-function. II

Author:

Andrius GRIGUTIS

AMS Classification:

11M41, 60B10, 60F05

Keywords:

central limit theorem, the critical line, Lerch zetafunction

Abstract:

In this paper, we continue the research on limit theorems for the Lerch zeta-function L(\lambda,\alpha,\frac{1}{2}+it) when the pair of parameters (\lambda, \alpha) are near to (0,0), (0,\frac{1}{2}), (0,1), (\frac{1}{2},0) and (1,0).

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Grig-2010

Vol. 5 (13), 2010