Analytic Number Theory

Edited by Carl Pomerance () and Michael Th. Rassias ()

in Springer Books from Springer

Date: 2015
ISBN: 978-3-319-22240-0
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Chapters in this book:

CM-Points on Straight Lines

Bill Allombert, Yuri Bilu and Amalia Pizarro-Madariaga

Maass Waveforms and Low-Lying Zeros

Levent Alpoge, Nadine Amersi, Geoffrey Iyer, Oleg Lazarev, Steven J. Miller and Liyang Zhang

Théorème de Jordan Friable

Régis de la Bretèche and Gérald Tenenbaum

On Conjectures of T. Ordowski and Z.W. Sun Concerning Primes and Quadratic Forms

Christian Elsholtz and Glyn Harman

Large Gaps Between Consecutive Prime Numbers Containing Perfect Powers

Kevin Ford, D. R. Heath-Brown and Sergei Konyagin

On the Parity of the Number of Small Divisors of n

Kevin Ford, Florian Luca, Carl Pomerance and Jeffrey Shallit

Counting Primes in Arithmetic Progressions

John B. Friedlander

Limit Points of the Sequence of Normalized Differences Between Consecutive Prime Numbers

Daniel A. Goldston and Andrew H. Ledoan

Spirals of the Zeta Function I

Steven M. Gonek and Hugh L. Montgomery

Best Possible Densities of Dickson m-Tuples, as a Consequence of Zhang–Maynard–Tao

Andrew Granville, Daniel M. Kane, Dimitris Koukoulopoulos and Robert J. Lemke Oliver

A Note on Helson’s Conjecture on Moments of Random Multiplicative Functions

Adam J. Harper, Ashkan Nikeghbali and Maksym Radziwiłł

Large Values of the Zeta-Function on the Critical Line

Aleksandar Ivić

A Note on Bessel Twists of L-Functions

J. Kaczorowski and A. Perelli

The Sound of Fractal Strings and the Riemann Hypothesis

Michel L. Lapidus

Sums of Two Squares in Short Intervals

James Maynard

Infinite Sumsets with Many Representations

Melvyn B. Nathanson

On the Ratio of Consecutive Gaps Between Primes

János Pintz

Remarks on Fibers of the Sum-of-Divisors Function

Paul Pollack

On Amicable Numbers

Carl Pomerance

Trigonometric Representations of Generalized Dedekind and Hardy Sums via the Discrete Fourier Transform

Michael Th. Rassias and László Tóth

On Arithmetic Properties of Products and Shifted Products

Joël Rivat and András Sárközy

Narrow Progressions in the Primes

Terence Tao and Tamar Ziegler

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DOI: 10.1007/978-3-319-22240-0

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