A note on simultaneous nonvanishing twists

作者：Munshi Ritabrata^*

来源：Journal of Number Theory, 2012, 132(4): 666-674.

DOI：10.1016/j.jnt.2011.09.004

• L-functions
• Nonvanishing

Given two Hecke cusp forms f(1) and f(2) of SL(2, Z). Suppose there is a quadratic character x such that the twisted L-functions L(s, f(i) circle times x) do not vanish at the center s = 1/2. Then we show that there are infinitely many primitive quadratic characters chi(d) such that L(1/2, f(1) circle times chi(d))L(1/2, f(2) circle times chi(d)) not equal 0.

• 出版日期2012-4