Asymptotic Large Sieve

Abstract

Motivated by applications to the study of L-functions, we develop an asymptotic version of the large sieve inequality for linear forms in primitive Dirichlet characters.

Cited by in corpus (6)

• Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function
• Simple zeros of primitive Dirichlet $L$-functions and the asymptotic large sieve
• Pair correlation for Dedekind zeta functions of abelian extensions
• Small gaps between zeros of twisted L-functions
• The large sieve for self-dual Eisenstein series of varying levels
• Zeros of Dirichlet $L$-functions on the critical line