On some Diophantine Fourier series

DOI10.1007/s10114-010-8387-xzbMath1221.11060OpenAlexW2069791346MaRDI QIDQ606279

Jing Ma, Wen Peng Zhang, Hai-Long Li

Publication date: 17 November 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8387-x

zbMATH Keywords

Fourier seriesBernoulli polynomials

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (4)

Some series involving the Euler zeta function ⋮ A generalized Davenport expansion ⋮ On arithmetic series involving the fractional part function ⋮ A note on arithmetic Diophantine series

Cites Work

• Riemann's example of a continuous nondifferentiable function continued
• Arithmetical identities and zeta-functions
• ON SOME INFINITE SERIES INVOLVING ARITHMETICAL FUNCTIONS
• On Riemann's Fragment Concerning Elliptic Modular Functions
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