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The Lerch zeta-function

Authors: Laurincikas, Antanas, Garunkstis, Ramunas

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eBook 74,96 €
price for Spain (gross)
  • ISBN 978-94-017-6401-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-1-4020-1014-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 93,59 €
price for Spain (gross)
  • ISBN 978-90-481-6168-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Table of contents (8 chapters)

  • Euler Gamma-Function

    Laurinčikas, Antanas (et al.)

    Pages 1-15

    Preview Buy Chapter 30,19 €
  • Functional Equation

    Laurinčikas, Antanas (et al.)

    Pages 17-30

    Preview Buy Chapter 30,19 €
  • Moments

    Laurinčikas, Antanas (et al.)

    Pages 31-51

    Preview Buy Chapter 30,19 €
  • Approximate Functional Equation

    Laurinčikas, Antanas (et al.)

    Pages 53-69

    Preview Buy Chapter 30,19 €
  • Statistical Properties

    Laurinčikas, Antanas (et al.)

    Pages 71-109

    Preview Buy Chapter 30,19 €

Buy this book

eBook 74,96 €
price for Spain (gross)
  • ISBN 978-94-017-6401-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-1-4020-1014-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 93,59 €
price for Spain (gross)
  • ISBN 978-90-481-6168-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Lerch zeta-function
Authors
Copyright
2002
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-017-6401-8
DOI
10.1007/978-94-017-6401-8
Hardcover ISBN
978-1-4020-1014-9
Softcover ISBN
978-90-481-6168-3
Edition Number
1
Number of Pages
VIII, 189
Topics