Simultaneous non-vanishing of GL(3) × GL(2) and GL(2) L-functions

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Abstract

Fix g a Hecke-Maass form for SL 3(ℤ). In the family of holomorphic newforms f of fixed weight and large prime level q, we find the average value of the product L(1/2,g × f)L(1/2,f). From this we derive a result on the simultaneous non-vanishing of these L-functions at the central point.

Original languageEnglish
Pages (from-to)535-553
Number of pages19
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume152
Issue number3
DOIs
Publication statusPublished - May 2012
Externally publishedYes

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ASJC Scopus subject areas

  • Mathematics(all)

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