Quadratic Dirichlet L-functions Research Articles

Equivalents of the Riemann hypothesis

We obtain necessary and sufficient conditions for the Riemann hypothesis for the Riemann zeta-function, in terms of the functional distribution of quadratic Dirichlet L-functions.

Nonvanishing of Quadratic Dirichlet L-Functions at S = &#189

We show that for a positive proportion of fundamental discriminants d, L(1/2,chi_d) != 0. Here chi_d is the primitive quadratic Dirichlet character of conductor d.

A limit theorem with weights for quadratic Dirichlet L-functions

A limit theorem with weights for quadratic Dirichlet L-functions