Synopsis
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.
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