A quadratic divisor problem and moments of the Riemann zeta-function
A quadratic divisor problem and moments of the Riemann zeta-function
We estimate asymptotically the fourth moment of the Riemann zeta-function twisted by a Dirichlet polynomial of length T^{\frac14 - \varepsilon} . Our work relies crucially on Watt's theorem on averages of Kloosterman fractions. In the context of the twisted fourth moment, Watt's result is an optimal replacement for Selberg's eigenvalue …