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.
