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The twisted symmetric square $L$ -function of $\operatorname {GL}(r)$

โœ Scribed by Takeda, Shuichiro


Book ID
121498362
Publisher
Duke University Press
Year
2014
Tongue
English
Weight
741 KB
Volume
163
Category
Article
ISSN
0012-7094

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๐Ÿ“œ SIMILAR VOLUMES


The first moment of the symmetric-square
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