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Computations of Green's Function and Its Fourier Coefficients on Fuchsian Groups
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, 317-334 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2010. Vol. 19, no 3, 317-334 p.
Keyword [en]
Green's function, resolvent kernel, Rankin-Selberg bound computational number theory Fourier coefficients algorithms spectral theory K-Bessel function I-Bessel function
National Category
URN: urn:nbn:se:uu:diva-135354ISI: 000283979400005OAI: oai:DiVA.org:uu-135354DiVA: diva2:375285
Available from: 2010-12-07 Created: 2010-12-06 Last updated: 2011-03-01Bibliographically approved

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