Torus period coefficients on PGL(2) and Dirichlet series

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Abstract

We fix a quadratic number field E, and the corresponding torus in PGL(2). We consider twisted (by a Hecke character of the field E) torus periods of automorphic functions. We prove meromorphic continuation for a Dirichlet series generated by these twisted periods.

Original languageEnglish
Pages (from-to)328-342
Number of pages15
JournalJournal of Number Theory
Volume133
Issue number1
DOIs
StatePublished - Jan 2013

Bibliographical note

Funding Information:
✩ Partially supported by the Veblen Fund at IAS, by the BSF grant 2006254, by the ISF Center of Excellency grant 1691/10, by the Minerva Center at ENI, and by the ERC grant 291612. E-mail address: [email protected].

Funding

✩ Partially supported by the Veblen Fund at IAS, by the BSF grant 2006254, by the ISF Center of Excellency grant 1691/10, by the Minerva Center at ENI, and by the ERC grant 291612. E-mail address: [email protected].

FundersFunder number
ISF Center of Excellency1691/10
Minerva Center
Seventh Framework Programme291612
European Commission
United States-Israel Binational Science Foundation2006254
International AIDS Society

    Keywords

    • Double Dirichlet series
    • Hecke L-functions
    • Meromorphic continuation
    • Torus periods of cusp forms

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