Large values of Dirichlet polynomials
We discuss the notion of a “Level of Distribution” in two settings. The first deals with primes in progressions, and the role this plays in Yitang Zhang’s theorem on bounded gaps between primes. The second concerns the Affine Sieve and its applications.
We prove a limit theorem in the space of analytic functions for the Hurwitz zeta-function with algebraic irrational parameter.