We prove special cases of the Ratios Conjecture for the family of quadratic Dirichlet $ L $-
functions over function fields. More specifically, we study the average of $ L (1/2+\alpha,\chi …

We prove that there is a positive proportion of L-functions associated to cubic characters
over as well as into the number-field case (assuming the generalised Riemann hypothesis) …

The distribution of values of zeta and L-functions Page 701 The distribution of values of zeta
and L-functions Kannan Soundararajan Abstract We survey recent progress on understanding …

We consider negative moments of quadratic Dirichlet–functions over function fields.
Summing over monic square-free polynomials of degree in, we obtain an asymptotic formula …

We establish a central limit theorem for the central values of Dirichlet L-functions with
respect to a weighted measure on the set of primitive characters modulo q as q! 1. Under the …

Let F be a Siegel cusp form of degree, even weight, and odd square-free level N. We
undertake a detailed study of the analytic properties of Fourier coefficients of F at …

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We study the 2 k-th moment of central values of the family of primitive cubic and quartic
Dirichlet L-functions. We establish sharp lower bounds for all real k≥ 1/2 unconditionally for …

This article is concerned with the Fourier coefficients of cusp forms (not necessarily
eigenforms) of half-integer weight lying in the plus space. We give a soft proof that there are …

Let D be a definite quaternion algebra over Q and O an Eichler order in D of square-free
level. We study distribution of the toric periods of algebraic modular forms of level O. We …