Refinements of Gál's theorem and applications

DOI10.1016/j.aim.2016.09.006zbMath1375.11056arXiv1408.2334OpenAlexW2739427295MaRDI QIDQ340400

Maksym Radziwiłł, Mark Lewko

Publication date: 14 November 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2334

zbMATH Keywords

Riemann zeta-functionfunctions of bounded variationmetric Diophantine approximationGCD sumsCarleson-Hunt theoremGal's theorem

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier series and coefficients in several variables (42B05) Irregularities of distribution, discrepancy (11K38) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items

Integral factorial ratios, Gál-type GCD sums beyond the critical line, Lower bounds for the maximum of the Riemann zeta function along vertical lines, ADDITIVE ENERGY AND THE METRIC POISSONIAN PROPERTY, Pointwise convergence of almost periodic Fourier series and associated series of dilates, Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems, Extreme values of derivatives of the Riemann zeta function, On higher dimensional Poissonian pair correlation, Some open questions in analysis for Dirichlet series, Random walks on the circle and Diophantine approximation, Note on the Resonance Method for the Riemann Zeta Function, A pair correlation problem, and counting lattice points with the zeta function, On some applications of GCD sums to arithmetic combinatorics, GCD sums and sum-product estimates, Small Gál sums and applications, Metric results on summatory arithmetic functions on Beatty sets

Cites Work

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