Analytic Number Theory
In Honor of Helmut Maier’s 60th Birthday
Editors: Pomerance, Carl, Rassias, Michael Th. (Eds.)
Free Preview- 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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- About this book
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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)
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CM-Points on Straight Lines
Pages 1-18
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Maass Waveforms and Low-Lying Zeros
Pages 19-55
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Théorème de Jordan Friable
Pages 57-64
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On Conjectures of T. Ordowski and Z.W. Sun Concerning Primes and Quadratic Forms
Pages 65-81
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Large Gaps Between Consecutive Prime Numbers Containing Perfect Powers
Pages 83-92
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Table of contents (22 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Analytic Number Theory
- Book Subtitle
- In Honor of Helmut Maier’s 60th Birthday
- Editors
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- 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
