A converse theorem for $Γ_0(13)$

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dc.creatorConrey, J. B.
dc.creatorFarmer, David W.
dc.creatorOdgers, B. E.
dc.creatorSnaith, N. C.
dc.date2006-01-23
dc.date.accessioned2026-07-07T06:59:11Z
dc.date.available2026-07-07T06:59:11Z
dc.descriptionWe 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 $Γ_0(13)$. 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.
dc.description10 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0601549
dc.identifierhttp://arxiv.org/abs/math/0601549
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107658
dc.subjectNumber Theory
dc.subject11F66
dc.titleA converse theorem for $Γ_0(13)$
dc.typetext

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