Non-vanishing of the symmetric square L-function at the central point

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Abstract

Using the mollifier method, we show that, for a positive proportion of holomorphic Hecke eigenforms of level one and weight bounded by a large enough constant, the associated symmetric square L-function does not vanish at the central point of its critical strip. We note that our proportion is the same as that found by other authors for other families of L-functions also having symplectic symmetry type.

Original languageEnglish
Pages (from-to)736-762
Number of pages27
JournalProceedings of the London Mathematical Society
Volume100
Issue number3
DOIs
Publication statusPublished - May 2010
Externally publishedYes

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L-function
Proportion
Strip
Vanish
Symmetry
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  • Mathematics(all)

Cite this

Non-vanishing of the symmetric square L-function at the central point. / Khan, Rizwanur.

In: Proceedings of the London Mathematical Society, Vol. 100, No. 3, 05.2010, p. 736-762.

Research output: Contribution to journalArticle

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