Asymptotic relations among Fourier coefficients of automorphic eigenfunctions

DOI10.1090/S0002-9947-03-03154-4zbMath1121.11043OpenAlexW1581226798MaRDI QIDQ4433103

Scott A. Wolpert

Publication date: 29 October 2003

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03154-4

zbMATH Keywords

Fourier coefficientsautomorphic eigenfunctionsMacdonald-Bessel functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Fourier coefficients of automorphic forms (11F30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

Geodesic biangles and Fourier coefficients of restrictions of eigenfunctions, On the uniform equidistribution of long closed horocycles, Semiclassical limits for the hyperbolic plane

Cites Work

• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Semiclassical limits for the hyperbolic plane
• On Fourier Coefficients of Maass Waveforms for PSL(2, ℤ)
• Asymptotic Expansions of the Modified Bessel Function of the Third Kind of Imaginary Order
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