The first moment of the symmetric-square L-function

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We find a twisted first moment of L (sym2 f, s) at any point s on the critical line, over a basis of weight k Hecke eigenforms f for the full modular group, as k → ∞. As a corollary we show that given any point on the critical line and large enough even k, there exists an eigenform f of weight k such that L (sym2 f, s) is nonvanishing at that point.

Original languageEnglish
Pages (from-to)259-266
Number of pages8
JournalJournal of Number Theory
Volume124
Issue number2
DOIs
Publication statusPublished - Jun 2007
Externally publishedYes

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L-function
Moment
Modular Group
Line
Corollary

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

The first moment of the symmetric-square L-function. / Khan, Rizwanur.

In: Journal of Number Theory, Vol. 124, No. 2, 06.2007, p. 259-266.

Research output: Contribution to journalArticle

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