By Carl Pomerance,Michael Th. Rassias

This quantity incorporates a number of examine and survey papers written by means of the most eminent mathematicians within the overseas neighborhood and is devoted to Helmut Maier, whose personal examine has been groundbreaking and deeply influential to the sphere. particular emphasis is given to subject matters relating to exponential and trigonometric sums and their habit briefly periods, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted best numbers, oscillation theorems for primes in mathematics progressions, inequalities regarding the distribution of primes in brief periods, the Möbius functionality, Euler’s totient functionality, the Riemann zeta functionality and the Riemann speculation. Graduate scholars, examine mathematicians, in addition to laptop scientists and engineers who're attracted to natural and interdisciplinary learn, will locate this quantity an invaluable resource.

*Contributors to this volume:*

Bill Allombert, Levent Alpoge, Nadine Amersi, Yuri Bilu, Régis de los angeles 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.

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