Differentiability of arithmetic Fourier series arising from Eisenstein series

DOI10.1007/s11139-015-9748-yzbMath1423.42003arXiv1411.5871OpenAlexW1782566277MaRDI QIDQ523693

Izabela Petrykiewicz

Publication date: 21 April 2017

Published in: The Ramanujan Journal, Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5871

zbMATH Keywords

differentiabilityEisenstein seriesmodulus of continuitymodular formsFourier seriesdifferentiablity

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (3)

Regularity properties of \(k\)-Brjuno and Wilton functions ⋮ Multifractal analysis of the Brjuno function ⋮ Differentiability of arithmetic Fourier series arising from Eisenstein series

Cites Work

• Differentiability of arithmetic Fourier series arising from Eisenstein series
• Differentiability of Riemann's function
• The Brjuno functions and their regularity properties
• The spectrum of singularities of Riemann's function
• Study of the multiplicative autocorrelation of the fractional part function
• On the convergence of Diophantine Dirichlet series
• Comportement local moyen de la fonction de Brjuno
• Automorphic forms and differentiability properties
• An approximate functional equation with applications to a problem of Diophantine approximation.
• The Differentiability of the Riemann Function at Certain Rational Multiples of &#960
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