A note on GL2 converse theorems

A. Diaconu, A. Perelli, A. Zaharescu

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


Weil's well-known converse theorem shows that modular forms f ∈ Mk0(q)) are characterized by the functional equation for twists of Lf(s). Conrey-Farmer had partial success at replacing the assumption on twists by the assumption of Lf(s) having an Euler product of the appropriate form. In this Note we obtain a hybrid version of Weil's and Conrey-Farmer's results, by proving a converse theorem for all q ≥ 1 under the assumption of the Euler product and, moreover, of the functional equation for the twists to a single modulus.

Original languageEnglish (US)
Pages (from-to)621-624
Number of pages4
JournalComptes Rendus Mathematique
Issue number8
StatePublished - Apr 30 2002

Fingerprint Dive into the research topics of 'A note on GL<sub>2</sub> converse theorems'. Together they form a unique fingerprint.

Cite this