Analytic Number Theory

In Honor of Helmut Maier’s 60th Birthday

  • Carl Pomerance
  • Michael Th. Rassias

Table of contents

  1. Front Matter
    Pages i-viii
  2. Bill Allombert, Yuri Bilu, Amalia Pizarro-Madariaga
    Pages 1-18
  3. Levent Alpoge, Nadine Amersi, Geoffrey Iyer, Oleg Lazarev, Steven J. Miller, Liyang Zhang
    Pages 19-55
  4. Régis de la Bretèche, Gérald Tenenbaum
    Pages 57-64
  5. Kevin Ford, D. R. Heath-Brown, Sergei Konyagin
    Pages 83-92
  6. Kevin Ford, Florian Luca, Carl Pomerance, Jeffrey Shallit
    Pages 93-100
  7. John B. Friedlander
    Pages 101-114
  8. Steven M. Gonek, Hugh L. Montgomery
    Pages 127-131
  9. Andrew Granville, Daniel M. Kane, Dimitris Koukoulopoulos, Robert J. Lemke Oliver
    Pages 133-144
  10. Adam J. Harper, Ashkan Nikeghbali, Maksym Radziwiłł
    Pages 145-169
  11. J. Kaczorowski, A. Perelli
    Pages 195-200
  12. James Maynard
    Pages 253-273
  13. Melvyn B. Nathanson
    Pages 275-283
  14. Carl Pomerance
    Pages 321-327
  15. Joël Rivat, András Sárközy
    Pages 345-355
  16. Terence Tao, Tamar Ziegler
    Pages 357-379

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.


Analytic number theory Cyclotomic polynomials Euler’s totient function Möbius function Riemann zeta function Trigonometric sums

Editors and affiliations

  • Carl Pomerance
    • 1
  • Michael Th. Rassias
    • 2
  1. 1.Department of MathematicsDartmouth CollegeHanoverUSA
  2. 2.Department of MathematicsETH-ZürichZürichSwitzerland

Bibliographic information