Uniform with respect to the parameter \(a\in(0,1)\) two-sided estimates of the sums of sine and cosine series with coefficients \(1/k^a\) by the first terms of their asymptotics

DOI10.1134/S0081543822060189OpenAlexW4321128576MaRDI QIDQ2689291

Yanyan Li

Publication date: 9 March 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543822060189

zbMATH Keywords

periodic zeta functionpolylogarithmspecial trigonometric series

Mathematics Subject Classification ID

Summability and absolute summability of Fourier and trigonometric series (42A24) Zeta and (L)-functions: analytic theory (11M99)

Uses Software

• DLMF

Cites Work

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• Lebesgue constants of Riesz type means of negative order
• On a function which occurs in the theory of the structure of polymers

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