The Lerch zeta-function is the 1st monograph in this subject, that's a generalization of the vintage Riemann, and Hurwitz zeta-functions. even supposing analytic effects were awarded formerly in quite a few monographs on zeta-functions, this is often the 1st e-book containing either analytic and chance thought of Lerch zeta-functions.

The publication begins with classical analytical concept (Euler gamma-functions, practical equation, suggest square). nearly all of the provided effects are new: on approximate useful equations and its functions and on 0 distribution (zero-free areas, variety of nontrivial zeros etc). distinctive realization is given to restrict theorems within the experience of the vulnerable convergence of chance measures for the Lerch zeta-function. From restrict theorems within the area of analytic capabilities the universitality and sensible independence is derived. during this recognize the publication maintains the study of the 1st writer offered within the monograph Limit Theorems for the Riemann zeta-function.

This publication might be necessary to researchers and graduate scholars operating in analytic and probabilistic quantity concept, and will even be used as a textbook for postgraduate scholars.

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