Deformations of Maass forms

Details Deformations of Maass forms Deformations of Maass forms

2003-02-18

arxiv.org/abs/math/0302214v3

Mathematics

Number Theory

AMSTeX, 16 pages, 13 figures. Final version, to appear in Math. Comp

Scientific paper

We describe numerical calculations which examine the Phillips-Sarnak conjecture concerning the disappearance of cusp forms on a noncompact finite volume Riemann surface $S$ under deformation of the surface. Our calculations indicate that if the Teichmuller space of $S$ is not trivial then each cusp form has a set of deformations under which either the cusp form remains a cusp form, or else it dissolves into a resonance whose constant term is uniformly a factor of $10^{8}$ smaller than a typical Fourier coefficient of the form. We give explicit examples of those deformations in several cases.

Affiliated with

Also associated with

No associations

Rating

Deformations of Maass forms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Deformations of Maass forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deformations of Maass forms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-721768