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OverviewThis 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, 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. Full Product DetailsAuthor: Carl Pomerance , Michael Th. RassiasPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 1st ed. 2015 Dimensions: Width: 15.50cm , Height: 2.20cm , Length: 23.50cm Weight: 7.037kg ISBN: 9783319222394ISBN 10: 3319222392 Pages: 379 Publication Date: 28 November 2015 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsCM-Points on Straight Lines.- Maass Waveforms and Low-Lying Zeros.- Théorème de Jordan Friable.- On Conjectures of T. Ordowski and Z.W. Sun Concerning Primes and Quadratic Forms.- Large Gaps Between Consecutive Prime Numbers Containing Perfect Powers.- On the Parity of the Number of Small Divisors of n.- Counting Primes in Arithmetic Progressions.- Limit Points of the Sequence of Normalized Differences Between Consecutive Prime Numbers.- Spirals of the Zeta Function I.- Best Possible Densities of Dickson m-tuples, as a Consequence of Zhang-Maynard-Tao.- A Note on Helson’s Conjecture on Moments of Random Multiplicative Functions.- Large Values of the Zeta-Function on the Critical Line.- A Note on Bessel Twists of L-Functions.- The Sound of Fractal Strings and the Riemann Hypothesis.- Sums of two Squares in Short Intervals.- Infinite Sumsets with Many Representations.- On the Ratio of Consecutive Gaps Between Primes.- Remarks on Fibers of the Sum-of-Divisors Function.- On Amicable Numbers.- Trigonometric Representations of Generalized Dedekind and Hardy Sums via the Discrete Fourier Transform.- On Arithmetic Properties of Products and Shifted Products.- Narrow Progressions in the Primes.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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