New error term for the fourth moment of automorphic L functions
  We improve the error term in the asymptotic formula for the twisted fourth moment of automorphic L functions of prime level and weight two proved by Kowalski, Michel and Vanderkam. As a consequence, we obtain a new subconvexity bound in the level aspect and improve the lower bound on proportion of simultaneous non-vanishing. 
Olga Balkanova and Dmitry Frolenkov
math.NT