Large values of Dirichlet polynomials
Large values of Dirichlet polynomials II
Large values of Dirichlet polynomials, III
Large values of Dirichlet polynomials, IV
Laurent Expansion of Dirichlet Series-II.
Levels of Distribution and the Affine Sieve
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.
Limit theorems in the space of analytic functions for the Hurwitz zeta-function with an algebraic irrational parameter
We prove a limit theorem in the space of analytic functions for the Hurwitz zeta-function with algebraic irrational parameter.
Linear independence of Hurwitz zeta values and a theorem of Baker-Birch-Wirsing over number fields
Lower bounds for discriminants of number fields
L-Series, Modular Imbeddings, and Signatures.