The Lerch zeta-function is the 1st monograph in this subject, that is a generalization of the vintage Riemann, and Hurwitz zeta-functions. even supposing analytic effects were offered formerly in a number of monographs on zeta-functions, this is often the 1st e-book containing either analytic and likelihood thought of Lerch zeta-functions.
The e-book starts off with classical analytical idea (Euler gamma-functions, useful equation, suggest square). nearly all of the awarded effects are new: on approximate sensible equations and its functions and on 0 distribution (zero-free areas, variety of nontrivial zeros etc). specified awareness is given to restrict theorems within the feel of the susceptible convergence of likelihood measures for the Lerch zeta-function. From restrict theorems within the house of analytic services the universitality and sensible independence is derived. during this recognize the booklet keeps the study of the 1st writer provided within the monograph Limit Theorems for the Riemann zeta-function.
This booklet can be beneficial to researchers and graduate scholars operating in analytic and probabilistic quantity conception, and will even be used as a textbook for postgraduate scholars.
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