A note on simultaneous nonvanishing twists

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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