Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595304 | Journal of Number Theory | 2007 | 8 Pages |
Abstract
We find a twisted first moment of L(sym2f,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→∞. 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 such that L(sym2f,s) is nonvanishing at that point.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory