Analytic Number Theory

In Honor of Helmut Maier’s 60th Birthday

Editors: Pomerance, Carl, Rassias, Michael Th. (Eds.)

  • ​Presents the latest developments and applications by leading experts in Analytic Number Theory
  • Contains contributions by mathematicians who have published jointly with Helmut Maier
  • Contains practical material for graduate students and research mathematicians, as well as for computer scientists and engineers​​​​​​​ ​
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  • ISBN 978-3-319-22240-0
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Hardcover $129.00
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  • ISBN 978-3-319-22239-4
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Softcover $129.00
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  • ISBN 978-3-319-35551-1
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About this book

This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and  trigonometric sums and their behavior in short intervals, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted prime numbers, oscillation theorems for primes in arithmetic progressions, inequalities related to the distribution of primes in short intervals, the Möbius function, Euler’s totient function, the Riemann zeta function and the Riemann Hypothesis. Graduate students, research mathematicians, as well as computer scientists and engineers who are interested in pure and interdisciplinary research, will find this volume a useful resource.

Contributors to this volume:

Bill Allombert, Levent Alpoge, Nadine Amersi, Yuri Bilu, Régis de la Bretèche, Christian Elsholtz, John B. Friedlander, Kevin Ford, Daniel A. Goldston, Steven M. Gonek, Andrew Granville, Adam J. Harper, Glyn Harman, D. R. Heath-Brown, Aleksandar Ivić, Geoffrey Iyer, Jerzy Kaczorowski, Daniel M. Kane, Sergei Konyagin, Dimitris Koukoulopoulos, Michel L. Lapidus, Oleg Lazarev, Andrew H. Ledoan, Robert J. Lemke Oliver, Florian Luca, James Maynard, Steven J. Miller, Hugh L. Montgomery, Melvyn B. Nathanson, Ashkan Nikeghbali, Alberto Perelli, Amalia Pizarro-Madariaga, János Pintz, Paul Pollack, Carl Pomerance, Michael Th. Rassias, Maksym Radziwiłł, Joël Rivat, András Sárközy, Jeffrey Shallit, Terence Tao, Gérald Tenenbaum, László Tóth, Tamar Ziegler, Liyang Zhang.

Table of contents (22 chapters)

  • CM-Points on Straight Lines

    Allombert, Bill (et al.)

    Pages 1-18

  • Maass Waveforms and Low-Lying Zeros

    Alpoge, Levent (et al.)

    Pages 19-55

  • Théorème de Jordan Friable

    Bretèche, Régis (et al.)

    Pages 57-64

  • On Conjectures of T. Ordowski and Z.W. Sun Concerning Primes and Quadratic Forms

    Elsholtz, Christian (et al.)

    Pages 65-81

  • Large Gaps Between Consecutive Prime Numbers Containing Perfect Powers

    Ford, Kevin (et al.)

    Pages 83-92

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-22240-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-22239-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-3-319-35551-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Analytic Number Theory
Book Subtitle
In Honor of Helmut Maier’s 60th Birthday
Editors
  • Carl Pomerance
  • Michael Th. Rassias
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-22240-0
DOI
10.1007/978-3-319-22240-0
Hardcover ISBN
978-3-319-22239-4
Softcover ISBN
978-3-319-35551-1
Edition Number
1
Number of Pages
VIII, 379
Topics