Exploring the Riemann Zeta Function

190 years from Riemann's Birth

Editors: Montgomery, Hugh, Nikeghbali, Ashkan, Rassias, Michael Th. (Eds.)

  • Illustrates mathematical results and solves open problems in a simple manner
  • Features contributions by experts in analysis, number theory, and related fields 
  • Contains new results in rapidly progressing areas of research
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eBook $89.00
price for USA (gross)
  • ISBN 978-3-319-59969-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-3-319-59968-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.

The book focuses on both old and new results towards the solution of long-standing problems as well as it features some key historical remarks. The purpose of this volume is to present in a unified way broad and deep areas of research in a self-contained manner. It will be particularly useful for graduate courses and seminars as well as it will make an excellent reference tool for graduate students and researchers in Mathematics, Mathematical Physics, Engineering and Cryptography.

About the authors

Michael Th. Rassias is a Postdoctoral researcher at the Institute of Mathematics of the University of Zürich and a visiting researcher at the Program in Interdisciplinary Studies of the Institute for Advanced Study, Princeton.

Table of contents (12 chapters)

  • An Introduction to Riemann’s Life, His Mathematics, and His Work on the Zeta Function

    Baker, Roger

    Pages 1-12

  • Ramanujan’s Formula for ζ(2n + 1)

    Berndt, Bruce C. (et al.)

    Pages 13-34

  • Towards a Fractal Cohomology: Spectra of Polya–Hilbert Operators, Regularized Determinants and Riemann Zeros

    Cobler, Tim (et al.)

    Pages 35-65

  • The Temptation of the Exceptional Characters

    Friedlander, John B. (et al.)

    Pages 67-81

  • Arthur’s Truncated Eisenstein Series for SL(2, Z) and the Riemann Zeta Function: A Survey

    Goldfeld, Dorian

    Pages 83-97

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-3-319-59969-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-3-319-59968-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Exploring the Riemann Zeta Function
Book Subtitle
190 years from Riemann's Birth
Editors
  • Hugh Montgomery
  • Ashkan Nikeghbali
  • Michael Th. Rassias
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-59969-4
DOI
10.1007/978-3-319-59969-4
Hardcover ISBN
978-3-319-59968-7
Edition Number
1
Number of Pages
X, 298
Number of Illustrations and Tables
2 b/w illustrations, 5 illustrations in colour
Topics