On correlations of CM-type Maass waveforms under the horocyclic flow

Dennis A. Hejhal, Hans Christianson

Research output: Contribution to journalArticlepeer-review

Abstract

Maass waveforms of CM-type are a special kind of eigenfunction of the hyperbolic Laplacian whose 'defining' components (namely eigenvalue and Fourier coefficients) are given by simple formulae involving algebraic integers chosen from a suitable number field K/ℚ. In this paper, we report on some computer experiments aimed at ascertaining the extent to which the autocorrelation behaviour of CM-forms agrees with that of 'mock' (i.e. random) waveforms in the limit of high energy. Our results suggest that no significant differences are seen.

Original languageEnglish (US)
Pages (from-to)3467-3486
Number of pages20
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number12 SPEC. ISS.
DOIs
StatePublished - Mar 28 2003

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