Analytic Number Theory In Honor of Helmut Maiers 60th Birthday [Hardcover]

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 M?bius function, Eulers 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, R?gis de la Bret?che, 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 Ivi, 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, J?nos Pintz, Paul Pollack, Carl Pomerance, Michael Th. Rassias, Maksym RadziwiBB, Jo?l Rivat, Andr?s S?rk?zy, Jeffrey Shallit, Terence Tao, G?rald Tenenbaum, L?szl??T?th, Tamar Ziegler, Liyang Zhang.

CM-Points on Straight Lines.- Maass Waveforms and Low-Lying Zeros.- Th?or?me de Jordan Friable.- On Conjectures of T. Ordowski and Z.W. Sun Concerning Primes and Quadratic Forms.- Large Gaps Between Consecutive Prime NumlL