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- W2951539282 abstract "We study the nonvanishing of twists of automorphic L-functions at the centre of the critical strip. Given a primitive character chi modulo D satisfying some technical conditions, we prove that the twisted L-functions L(f.chi,s) do not vanish at s=1/2 for a positive proportion of primitive forms of weight 2 and level q, for large prime q. We also investigate the central values of high derivatives of L(f.chi,s), and from that derive an upper bound for the average analytic rank of the studied L-functions." @default.
- W2951539282 created "2019-06-27" @default.
- W2951539282 creator A5038304782 @default.
- W2951539282 date "2013-02-25" @default.
- W2951539282 modified "2023-10-18" @default.
- W2951539282 title "Twists of automorphic L-functions at the central point" @default.
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- W2951539282 doi "https://doi.org/10.48550/arxiv.1302.6021" @default.
- W2951539282 hasPublicationYear "2013" @default.
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