A converse theorem for $Γ_0(13)$

Details A converse theorem for $Γ_0(13)$ A converse theorem for $Γ_0(13)$

2006-01-23

arxiv.org/abs/math/0601549v1

Mathematics

Number Theory

10 pages, LaTeX

Scientific paper

We prove that a Dirichlet series with a functional equation and Euler product of a particular form can only arise from a holomorphic cusp form on the Hecke congruence group $\Gamma_0(13)$. The proof does not assume a functional equation for the twists of the Dirichlet series. The main new ingredient is a generalization of the familiar Weil's lemma that played a prominent role in previous converse theorems.

Affiliated with

Also associated with

No associations

Rating

A converse theorem for $Γ_0(13)$ 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 A converse theorem for $Γ_0(13)$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A converse theorem for $Γ_0(13)$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-601781