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Lower bound for the higher moment of symmetric square L-functions

โœ Scribed by Tang, Hengcai

Book ID
123330043
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
163 KB
Volume
133
Category
Article
ISSN
0022-314X

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๐Ÿ“œ SIMILAR VOLUMES

The first moment of the symmetric-square
The first moment of the symmetric-square L-function
โœ Rizwanur Khan ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 โ†’ โˆž. 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