Analytic Number Theory

In Honor of Helmut Maier’s 60th Birthday

Häftad, Engelska, 2016

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2016-08-23
Mått:155 x 235 x 21 mm
Vikt:587 g
Format:Häftad
Språk:Engelska
Antal sidor:379
Förlag:Springer International Publishing AG
ISBN:9783319355511

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Innehållsförteckning

CM-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.