© 2017

Exploring the Riemann Zeta Function

190 years from Riemann's Birth

  • Hugh Montgomery
  • Ashkan Nikeghbali
  • Michael Th. Rassias

Table of contents

  1. Front Matter
    Pages i-x
  2. Bruce C. Berndt, Armin Straub
    Pages 13-34
  3. John B. Friedlander, Henryk Iwaniec
    Pages 67-81
  4. Yunus Karabulut, Cem Yalçın Yıldırım
    Pages 113-179
  5. Michael J. Mossinghoff, Timothy S. Trudgian
    Pages 201-221
  6. Ken Ono, Larry Rolen, Robert Schneider
    Pages 223-264
  7. S. J. Patterson
    Pages 265-285
  8. David E. Rohrlich
    Pages 287-298

About this book


This book is concerned with the Riemann Zeta Function, its generalizations, and various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis and Probability Theory. Eminent experts in the field illustrate both old and new results towards the solution of long-standing problems and include key historical remarks. Offering a unified, self-contained treatment of broad and deep areas of research, this book will be an excellent tool for researchers and graduate students working in Mathematics, Mathematical Physics, Engineering and Cryptography.


analytic number theory probability theory ergodic theory harmonic analysis approximation theory special functions

Editors and affiliations

  • Hugh Montgomery
    • 1
  • Ashkan Nikeghbali
    • 2
  • Michael Th. Rassias
    • 3
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.Institut für MathematikUniversität ZürichZürichSwitzerland
  3. 3.Institut für MathematikUniversität ZürichZürichSwitzerland

About the editors

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.

Bibliographic information

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“The best thing in this book that it contains a wide range of information which opens a lot of doors for researchers. It is good to have these formidable results in one book. ...  Riemann’s zeta function is difficult to understand deeply, but this book is a very good help to reach that goal.” (Salim Salem, MAA Reviews, February, 2018)