Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594428 | Journal of Number Theory | 2012 | 9 Pages |
Abstract
Given two Hecke cusp forms f1 and f2 of SL(2,Z). Suppose there is a quadratic character χ such that the twisted L-functions L(s,fi⊗χ) do not vanish at the center s=1/2. Then we show that there are infinitely many primitive quadratic characters χd such that L(1/2,f1⊗χd)L(1/2,f2⊗χd)≠0.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory