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 Moebius 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, Regis de la Breteche, 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 Ivic, 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, Janos Pintz, Paul Pollack, Carl Pomerance,
Michael Th. Rassias, Maksym Radziwill, Joel Rivat, Andras Sarkoezy,
Jeffrey Shallit, Terence Tao, Gerald Tenenbaum, Laszlo Toth, Tamar
Ziegler, Liyang Zhang.
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