Analytic Number Theory: In Honor of Helmut Maier’s 60th by Carl Pomerance,Michael Th. Rassias PDF

By Carl Pomerance,Michael Th. Rassias

ISBN-10: 3319222392

ISBN-13: 9783319222394

ISBN-10: 3319355511

ISBN-13: 9783319355511

This quantity incorporates a selection of learn and survey papers written by means of one of the most eminent mathematicians within the overseas neighborhood and is devoted to Helmut Maier, whose personal learn has been groundbreaking and deeply influential to the sector. particular emphasis is given to subject matters concerning exponential and  trigonometric sums and their habit in brief periods, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted best numbers, oscillation theorems for primes in mathematics progressions, inequalities concerning the distribution of primes in brief durations, the Möbius functionality, Euler’s totient functionality, the Riemann zeta functionality and the Riemann speculation. Graduate scholars, study mathematicians, in addition to desktop 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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