On the regularity of fractional integrals of modular forms

DOI10.1090/tran/7418zbMath1440.42178arXiv1603.06491OpenAlexW2964179101MaRDI QIDQ5222852

Carlos Pastor

Publication date: 4 July 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06491

zbMATH Keywords

pointwise Hölder exponent

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Lipschitz (Hölder) classes (26A16) Fourier coefficients of automorphic forms (11F30) Fractals (28A80) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (4)

The pointwise behavior of Riemann's function ⋮ The convergence of certain Diophantine series ⋮ Some geometric properties of Riemann's non-differentiable function ⋮ Unnamed Item

Uses Software

• SageMath
• LMFDB

Cites Work

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• On the Fourier coefficients of automorphic forms at various cusps and some applications to Rankin's convolution
• On simultaneous Diophantine approximations
• The local Hölder function of a continuous function
• The spectrum of singularities of Riemann's function
• The Hölder exponent of some Fourier series
• Hecke operators on \(\Gamma_0(m)\)
• Diophantine approximation in Fuchsian groups
• Automorphic forms and differentiability properties
• Diophantine approximation and Hausdorff dimension in Fuchsian groups
• The Differentiability of the Riemann Function at Certain Rational Multiples of &#960
• More on the Differentiability of the Riemann Function
• Fractions

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