Explicit asymptotics for certain single and double exponential sums

DOI10.1017/PRM.2018.161zbMath1437.11120arXiv1708.02868OpenAlexW2963583414WikidataQ115563597 ScholiaQ115563597MaRDI QIDQ5221036

Konstantinos Kalimeris, Athanassios S. Fokas

Publication date: 27 March 2020

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.02868

zbMATH Keywords

exponential sumsasymptotic expansions

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) (zeta (s)) and (L(s, chi)) (11M06) Asymptotic representations in the complex plane (30E15)

Related Items (2)

Power means of the Hurwitz zeta function over large intervals ⋮ On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function

Cites Work

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• On the estimation of the order of Euler-Zagier multiple zeta-functions
• Decoupling, exponential sums and the Riemann zeta function
• On Epstein's Zeta-Function
• On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function
• A novel approach to the Lindelöf hypothesis

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