Dennis A Hejhal and Hans Christianson 2003 J. Phys. A: Math. Gen. 36 3467 doi:10.1088/0305-4470/36/12/335
On correlations of CM-type Maass waveforms under the horocyclic flow
Dennis A Hejhal1,2 and Hans Christianson3
Show affiliationsMaass 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/
. 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.
- PACS
- MSC
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37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
- Subjects
- Dates
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Issue 12 (28 March 2003)
Received 30 July 2002
Published 12 March 2003
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On correlations of CM-type Maass waveforms under the horocyclic flow
Dennis A Hejhal and Hans Christianson 2003 J. Phys. A: Math. Gen. 36 3467
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