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Titlebook: Analytic Number Theory; In Honor of Helmut M Carl Pomerance,Michael Th. Rassias Book 2015 Springer International Publishing Switzerland 201

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期刊全称Analytic Number Theory
期刊简称In Honor of Helmut M
影响因子2023Carl Pomerance,Michael Th. Rassias
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发行地址Presents the latest developments and applications by leading experts in Analytic Number Theory.Contains contributions by mathematicians who have published jointly with Helmut Maier.Contains practical
图书封面Titlebook: Analytic Number Theory; In Honor of Helmut M Carl Pomerance,Michael Th. Rassias Book 2015 Springer International Publishing Switzerland 201
影响因子.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 Möbius 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, Régis de la 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, Jer
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Faiza Khan Khattak,Ansaf Salleb-AouissiHalberstam, and, in modified form, at the October 2014 workshop at the Royal Swedish Academy of Sciences, Stockholm, on the occasion of the presentation to Yitang Zhang of the 2014 Rolf Schock Prize in Mathematics for his ground-breaking work on bounded gaps between primes.
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Infinite Sumsets with Many Representations,≥ 2, and that every sufficiently large integer in the sumset . has at least . representations. If . = 2, then ., where .(.) counts the number of integers . ∈ . such that 1 ≤ . ≤ .. Lower bounds for .(.) are also obtained for . ≥ 3.
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Remarks on Fibers of the Sum-of-Divisors Function,h .. This answers in the affirmative a question of Erdős. We also show that for almost all of the elements . of ., the members of the fiber . all share the same largest prime factor. We describe an application of the second result to the theory of L.E. Dickson’s amicable tuples, which are a generalization of the ancient notion of an amicable pair.
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