The first moment of the symmetric-square
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Rizwanur Khan
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Article
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2007
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Elsevier Science
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English
β 123 KB
We find a twisted first moment of L(sym 2 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 β β. 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 suc