Experimental Mathematics

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

Helen Avelin

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Abstract

We develop algorithms for computations of Green’s function and its Fourier coefficients, $F_n(z;s)$, on Fuchsian groups with one cusp. An analogue of a Rankin-Selberg bound for $F_n(z;s)$ is presented.

Article information

Source
Experiment. Math., Volume 19, Issue 3 (2010), 317-334.

Dates
First available in Project Euclid: 4 October 2011

Permanent link to this document
https://projecteuclid.org/euclid.em/1317758094

Mathematical Reviews number (MathSciNet)
MR2731548

Zentralblatt MATH identifier
1267.11061

Keywords
Green's function resolvent kernel Rankin-Selberg bound computational number theory Fourier coefficients algorithms spectral theory K-Bessel function I-Bessel function

Citation

Avelin, Helen. Computations of Green's Function and Its Fourier Coefficients on Fuchsian Groups. Experiment. Math. 19 (2010), no. 3, 317--334. https://projecteuclid.org/euclid.em/1317758094


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