3 papers
math.NT2007
Twisted Fermat curves over totally real fields
Adrian Diaconu, Ye Tian
Let p be a prime number, F a totally real field such that [F(mu_p): F]=2 and [F:Q] is odd. For delta \in F^times, let [delta] denote its class in F^times/F^{times p}. In this paper…
math.NT2006
Integral Moments of Automorphic L-functions
Adrian Diaconu, Paul Garrett
This paper exposes the underlying mechanism for obtaining second integral moments of automorphic --functions over an arbitrary number field. Here, moments for are…
math.NT2001
Multiple Dirichlet series and moments of zeta and L-functions
Adrian Diaconu, Dorian Goldfeld, Jeffrey Hoffstein
This paper develops an analytic theory of Dirichlet series in several complex variables which possess sufficiently many functional equations. In the first two sections it is shown…