Gál-type GCD sums beyond the critical line

DOI10.1016/j.jnt.2016.02.017zbMath1414.11117arXiv1512.03758OpenAlexW2296720648MaRDI QIDQ273443

Kristian Seip, Titus W. Hilberdink, Andriy V. Bondarenko

Publication date: 22 April 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03758

zbMATH Keywords

critical lineGál's theoremGCD sums

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06)

Related Items (4)

Refinements of Gál's theorem and applications ⋮ Extreme values of derivatives of the Riemann zeta function ⋮ Some open questions in analysis for Dirichlet series ⋮ Note on the Resonance Method for the Riemann Zeta Function

Cites Work

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• Lower bounds for the maximum of the Riemann zeta function along vertical lines
• Refinements of Gál's theorem and applications
• GCD sums from Poisson integrals and systems of dilated functions
• Extreme values of zeta and \(L\)-functions
• Large greatest common divisor sums and extreme values of the Riemann zeta function
• An arithmetical mapping and applications to Ω-results for the Riemann zeta function
• Sums Involving Common Divisors
• On the frequencies of large values of divisor functions
• GCD sums and complete sets of square-free numbers

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