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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 ebook containing either analytic and likelihood concept of Lerch zeta-functions.

The booklet starts off with classical analytical concept (Euler gamma-functions, useful equation, suggest square). nearly all of the awarded effects are new: on approximate practical equations and its purposes and on 0 distribution (zero-free areas, variety of nontrivial zeros etc). specific realization is given to restrict theorems within the experience of the susceptible convergence of chance measures for the Lerch zeta-function. From restrict theorems within the area of analytic features the universitality and practical independence is derived. during this recognize the e-book maintains the examine of the 1st writer awarded within the monograph Limit Theorems for the Riemann zeta-function.

This booklet might be necessary 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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