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2010 Numerical Computations of Green's Function and Its Fourier Coefficients on PSL(2, ℤ)
Helen Avelin
Experiment. Math. 19(3): 335-343 (2010).

Abstract

We present some examples of numerical investigations of the value distribution of Green’s function and of its Fourier coefficients on the modular group $\mathrm{PSL}(2, \mathbb{Z})$. Our results indicate that both Green’s function $G_s(z;w)$ and its Fourier coefficients $F_n(z;s)$ have a Gaussian value distribution in the semiclassical limit when $\operatorname{Re} s = 1/2$.

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Helen Avelin. "Numerical Computations of Green's Function and Its Fourier Coefficients on PSL(2, ℤ)." Experiment. Math. 19 (3) 335 - 343, 2010.

Information

Published: 2010
First available in Project Euclid: 4 October 2011

zbMATH: 1267.11062
MathSciNet: MR2731549

Rights: Copyright © 2010 A K Peters, Ltd.

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Vol.19 • No. 3 • 2010
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