Multiple Dirichlet Series and Moments of Zeta and L-Functions
Multiple Dirichlet Series and Moments of Zeta and L-Functions
This paper develops an analytic theory of Dirichlet series in several complex variables which possess sufficiently many functional equations. In the first two sections it is shown how straightforward conjectures about the meromorphic continuation and polar divisors of certain such series imply, as a consequence, precise asymptotics (previously conjectured via …