By Carl Pomerance,Michael Th. Rassias
This quantity features a choice of examine and survey papers written by way of essentially 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 sector. particular emphasis is given to subject matters concerning exponential and trigonometric sums and their habit in brief durations, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted top numbers, oscillation theorems for primes in mathematics progressions, inequalities concerning the distribution of primes in brief periods, the Möbius functionality, Euler’s totient functionality, the Riemann zeta functionality and the Riemann speculation. Graduate scholars, learn mathematicians, in addition to machine scientists and engineers who're attracted to natural and interdisciplinary examine, will locate this quantity an invaluable resource.
Contributors to this volume:
Bill Allombert, Levent Alpoge, Nadine Amersi, Yuri Bilu, Régis de l. a. 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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Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday by Carl Pomerance,Michael Th. Rassias