uu.seUppsala University Publications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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
Mathematics
Identifiers
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: 2017-12-11Bibliographically approved

Open Access in DiVA

No full text

By organisation
Analysis and Applied Mathematics
In the same journal
Experimental Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 347 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf