Coefficients of symmetric square L-functions

Let λsym2f(n) be the n-th coefficient in the Dirichlet series of the symmetric square L-function associated with a holomorphic primitive cusp form f. We prove Ω± results for λsym2f(n) and evaluate the number of positive (resp., negative) λsym2f(n) in some intervals. © 2010 Science China Press and Springer-Verlag Berlin Heidelberg.link_to_subscribed_fulltex