Asymptotic formulas for Vasyunin cotangent sums

DOI10.1016/j.amc.2020.125380OpenAlexW3028454313MaRDI QIDQ2189854

George Fikioris, Konstantinos A. Draziotis

Publication date: 17 June 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125380

zbMATH Keywords

Euler-Maclaurin summation formuladigamma functionVasyunin cotangent sums

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Trigonometric and exponential sums (general theory) (11L03) Exponential and trigonometric functions (33B10)

Uses Software

• SageMath
• DLMF

Cites Work

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• A cotangent sum related to zeros of the Estermann zeta function
• Asymptotic methods: the next frontier towards nonlinear science
• On Nyman, Beurling and Baez-Duarte's Hilbert space reformulation of the Riemann hypothesis
• Period functions and cotangent sums
• Taylor series solution for Lane-Emden equation
• A strengthening of the Nyman-Beurling criterion for the Riemann hypothesis
• Asymptotic Approximations of Integrals
• On the Distribution of a Cotangent Sum: Fig. 1.
• The value of the Estermann zeta functions at s=0
• Explicit and asymptotic formulae for Vasyunin-cotangent sums
• A Reciprocity Formula for a Cotangent Sum
• Generalizations of a cotangent sum associated to the Estermann zeta function

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