## Experimental Mathematics

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

Helen Avelin

#### 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