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Numerical Computations of Green's Function and Its Fourier Coefficients on PSL(2, Z)
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
2010 (English)In: Experimental Mathematics, ISSN 1058-6458, E-ISSN 1944-950X, Vol. 19, no 3, 335-343 p.Article in journal (Refereed) Published
Abstract [en]

We present some examples of numerical investigations of the value distribution of Green's function and of its Fourier coefficients on the modular group PSL(2,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 Re s = 1/2.

Place, publisher, year, edition, pages
2010. Vol. 19, no 3, 335-343 p.
Keyword [en]
Green's function, resolvent kernel, computational number theory, quantum chaos, Fourier coefficients spectral theory, pseudo cusp forms, Gaussian value distribution, point scatterer
National Category
URN: urn:nbn:se:uu:diva-135355ISI: 000283979400006OAI: oai:DiVA.org:uu-135355DiVA: diva2:375278
Available from: 2010-12-07 Created: 2010-12-06 Last updated: 2011-03-01Bibliographically approved

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