Perturbation of zeros of the Selberg zeta-function for $Γ_0(4)$

Details Perturbation of zeros of the Selberg zeta-function for $Γ_0(4)$ Perturbation of zeros of the Selberg zeta-function for $Γ_0(4)$

2012-01-11

arxiv.org/abs/1201.2324v1

Mathematics

Number Theory

Scientific paper

We study the asymptotic behavior of zeros of the Selberg zeta-function for the congruence subgroup $\Gamma_0(4)$ as a function of a one-parameter family of characters tending to the trivial character. The motivation for the study comes from observations based on numerical computations. Some of the observed phenomena lead to precise theorems that we prove and compare with the original numerical results.

Affiliated with

Also associated with

No associations

Rating

Perturbation of zeros of the Selberg zeta-function for $Γ_0(4)$ 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 Perturbation of zeros of the Selberg zeta-function for $Γ_0(4)$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbation of zeros of the Selberg zeta-function for $Γ_0(4)$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-604382