Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593774 | Journal of Number Theory | 2014 | 19 Pages |
Abstract
We prove an asymptotic formula for the first moment of the symmetric-square L -functions L(sym2f,s) on the critical line for cusp forms f of weight k, level N and real primitive character χ modulo N , as N→∞N→∞. It follows that for any t∈Rt∈R, there exists f such that L(sym2f,1/2+it)≠0.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Qingfeng Sun,