The Lerch zeta-function

Beschreibung

Neuware -The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions. Although analytic results have been presented previously in various monographs on zeta-functions, this is the first book containing both analytic and probability theory of Lerch zeta-functions.The book starts with classical analytical theory (Euler gamma-functions, functional equation, mean square). The majority of the presented results are new: on approximate functional equations and its applications and on zero distribution (zero-free regions, number of nontrivial zeros etc). Special attention is given to limit theorems in the sense of the weak convergence of probability measures for the Lerch zeta-function. From limit theorems in the space of analytic functions the universitality and functional independence is derived. In this respect the book continues the research of the first author presented in the monograph Limit Theorems for the Riemann zeta-function.This book will be useful to researchers and graduate students working in analytic and probabilistic number theory, and can also be used as a textbook for postgraduate students.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 200 pp. Englisch.

Bestandsnummer des Verkäufers 9789048161683

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Bibliografische Details

Titel

The Lerch zeta-function

Verlag

Springer Netherlands, Springer Netherlands Dez 2010

Erscheinungsjahr

2010

Sprache

Englisch

ISBN-10

9048161681

ISBN-13

9789048161683

Einband

Taschenbuch

Zustand

Neu

Abmessungen

235B x 155 H x 12 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 12 mm

Gewicht

312 Gramm

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