Computations of Green's Function and Its Fourier Coefficients on Fuchsian Groups

DOI10.1080/10586458.2010.10390626zbMath1267.11061OpenAlexW2133187168MaRDI QIDQ2911508

Helen Avelin

Publication date: 31 August 2012

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1317758094

zbMATH Keywords

algorithmsGreen's functionresolvent kernelspectral theoryFourier coefficientscomputational number theoryK-Bessel functionI-Bessel functionRankin-Selberg bound

Mathematics Subject Classification ID

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

Computation of Harmonic Weak Maass Forms, Numerical Computations of Green's Function and Its Fourier Coefficients on PSL(2, ℤ), Vortices on Closed Surfaces, A Counterexample to a Conjecture by Błocki–Zwonek, Noncongruence subgroups and Maass waveforms

Uses Software

• Algorithm 831

Cites Work

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• Algorithm 831
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