Munshi, Ritabrata (2012) A note on simultaneous nonvanishing twists Journal of Number Theory, 132 (4). pp. 666-674. ISSN 0022-314X
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.jnt.2011.09.004
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, f ⊗ 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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | L-functions; Nonvanishing |
| ID Code: | 110812 |
| Deposited On: | 31 Jan 2018 09:08 |
| Last Modified: | 31 Jan 2018 09:08 |
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