A converse theorem for Gamma (0) (13)

JB Conrey, DW Farmer, BE Odgers, NC Snaith

Research output: Contribution to journalArticle (Academic Journal)peer-review


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 contributionA converse theorem for Gamma (0) (13)
Original languageEnglish
Pages (from-to)314 - 323
Number of pages10
JournalJournal of Number Theory
Volume122 (2)
Publication statusPublished - Feb 2007

Bibliographical note

Publisher: Academic Press Inc Elsevier Science


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