The highly oscillatory behavior of automorphic distributions for \(\text{SL}(2)\)

DOI10.1007/s11005-004-0470-8zbMath1127.11033arXivmath/0402382OpenAlexW1987402861MaRDI QIDQ704000

Wilfried Schmid, Stephen D. Miller

Publication date: 12 January 2005

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402382

zbMATH Keywords

distributionsautomorphic formsfractalHöldernondifferentiability

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Fractional derivatives and integrals (26A33) Automorphic forms, one variable (11F12) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (11)

Sums of Fourier coefficients of cusp forms of level \(D\) twisted by exponential functions ⋮ The Hölder exponent of some Fourier series ⋮ Spectral square moments of a resonance sum for Maass forms ⋮ On some exponential sums involving Maass forms over arithmetic progressions ⋮ Resonance between automorphic forms and exponential functions ⋮ Order and chaos in some trigonometric series: curious adventures of a statistical mechanic ⋮ Multifractal behavior of polynomial Fourier series ⋮ Some Fourier series with gaps ⋮ Exponential sums involving Maass forms ⋮ Le module de continuité des valeurs au bord des fonctions propres et des formes automorphes ⋮ Transition mean values of shifted convolution sums

Cites Work

• Zeros of L-functions attached to Maass forms
• Distributions and analytic continuation of Dirichlet series
• Automorphic forms and differentiability properties
• More on the Differentiability of the Riemann Function
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