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The symmetric-square L-function on the critical line

✍ Scribed by Sun, Qingfeng


Book ID
122189930
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
312 KB
Volume
140
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES


The first moment of the symmetric-square
✍ Rizwanur Khan πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 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†’ ∞. 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