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.
Citation
Helen Avelin. "Computations of Green's Function and Its Fourier Coefficients on Fuchsian Groups." Experiment. Math. 19 (3) 317 - 334, 2010.
Information
Published: 2010
First available in Project Euclid: 4 October 2011
zbMATH: 1267.11061
MathSciNet: MR2731548
Keywords:
algorithms
,
computational number theory
,
Fourier coefficients
,
Green's function
,
I-Bessel function
,
K-Bessel function
,
Rankin-Selberg bound
,
Resolvent kernel
,
Spectral theory
Rights: Copyright © 2010 A K Peters, Ltd.
