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.
|Translated title of the contribution||A converse theorem for Gamma (0) (13)|
|Pages (from-to)||314 - 323|
|Number of pages||10|
|Journal||Journal of Number Theory|
|Publication status||Published - Feb 2007|