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The Lerch zeta-function is the 1st monograph in this subject, that's a generalization of the vintage Riemann, and Hurwitz zeta-functions. even though analytic effects were awarded formerly in numerous monographs on zeta-functions, this is often the 1st booklet containing either analytic and likelihood concept of Lerch zeta-functions.

The booklet begins with classical analytical idea (Euler gamma-functions, practical equation, suggest square). nearly all of the offered effects are new: on approximate useful equations and its purposes and on 0 distribution (zero-free areas, variety of nontrivial zeros etc). specific recognition is given to restrict theorems within the feel of the vulnerable convergence of likelihood measures for the Lerch zeta-function. From restrict theorems within the area of analytic capabilities the universitality and useful independence is derived. during this recognize the ebook keeps the study of the 1st writer awarded within the monograph Limit Theorems for the Riemann zeta-function.

This e-book should be precious 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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