Subconvexity for a double Dirichlet series

Valentin Blomer

For Dirichlet series roughly of the type $Z(s,w)=su{m}_{d}L(s,ch{i}_d)d^{-w}$ the subconvexity bound $Z(s,w)\ll (sw(s+w){)}^{1/6+\epsilon }$ is proved on the critical lines $\Re…