A note on simultaneous nonvanishing of Dirichlet L-functions and twists of Hecke-Maass L-functions

We prove that given a Hecke-Maass cusp form f for SL2(Z) and a sufficiently large integer q = q(1)q(2) with q(j) (sic) root q being prime numbers for j = 1, 2, there exists a primitive Dirichlet character chi of conductor q such that L(1/2, f circle times chi)L(1/2, chi) not equal 0. To prove this, we establish asymptotic formulas of L(1/2, f circle times chi)L(1/2, chi) over the family of even primitive Dirichlet characters chi of conductor q for more general q.