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Irregularities in the Distribution of Prime Numbers

From the Era of Helmut Maier's Matrix Method and Beyond

Editors: Pintz, János, Rassias, Michael Th. (Eds.)

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  • Contains open problems and new directions for future research in a simple, self-contained format
  • Features contributions by experts from the international community
  • Provides an historical overview of a large body of research in analytic number theory and approximation theory
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eBook $79.99
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  • ISBN 978-3-319-92777-0
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Hardcover $109.99
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  • ISBN 978-3-319-92776-3
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Softcover $99.99
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  • ISBN 978-3-030-06514-0
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About this book

This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes. Written by an international group of experts, contributions present a self-contained yet unified exploration of a rapidly progressing area. Emphasis is given to the research inspired by Maier’s matrix method, which established a newfound understanding of the distribution of primes. Additionally, the book provides an historical overview of a large body of research in analytic number theory and approximation theory. The papers published within are intended as reference tools for graduate students and researchers in mathematics.


About the authors

János Pintz is a Hungarian mathematician working in analytic number theory. He is a fellow of the Rényi Mathematical Institute and is also a member of the Hungarian Academy of Sciences. In 2014, he received the Cole Prize.
Michael Th. Rassias is a Latsis Foundation Senior Fellow at the University of Zürich and a visiting researcher at the Institute for Advanced Study, Princeton. He has also been a researcher at ETH-Zürich and Princeton University. While at Princeton, he collaborated with John F. Nash, Jr., for the Springer volume Open Problems in Mathematics. 

Table of contents (10 chapters)

Table of contents (10 chapters)
  • Chains of Large Gaps Between Primes

    Pages 1-21

    Ford, Kevin (et al.)

  • A Note on the Distribution of Primes in Intervals

    Pages 23-44

    Freiberg, Tristan

  • Distribution of Large Gaps Between Primes

    Pages 45-67

    Funkhouser, Scott (et al.)

  • On the Difference in Values of the Euler Totient Function Near Prime Arguments

    Pages 69-96

    Garcia, Stephan Ramon (et al.)

  • Vinogradov’s Mean Value Theorem as an Ingredient in Polynomial Large Sieve Inequalities and Some Consequences

    Pages 97-109

    Halupczok, Karin

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-319-92777-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA
  • ISBN 978-3-319-92776-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.99
price for USA
  • ISBN 978-3-030-06514-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Irregularities in the Distribution of Prime Numbers
Book Subtitle
From the Era of Helmut Maier's Matrix Method and Beyond
Editors
  • János Pintz
  • Michael Th. Rassias
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-92777-0
DOI
10.1007/978-3-319-92777-0
Hardcover ISBN
978-3-319-92776-3
Softcover ISBN
978-3-030-06514-0
Edition Number
1
Number of Pages
XI, 217
Number of Illustrations
12 b/w illustrations, 1 illustrations in colour
Topics