6 papers
Simultaneous non-vanishing of Dirichlet --functions, II: Weighted central limit theorem
Hung M. Bui, Alexandra Florea, Micah B. Milinovich
Under the Generalized Riemann Hypothesis, we prove a weighted central limit theorem for the joint distribution of four Dirichlet --functions at the central point, twisted by the…
Simultaneous non-vanishing of Dirichlet L-functions
Hung M. Bui, Alexandra Florea, Micah B. Milinovich
In this paper, we prove the simultaneous non-vanishing of four Dirichlet -functions at any point on the critical line. More precisely, let be even Dirichlet c…
Simultaneous nonvanishing of Dirichlet -functions in Galois orbits
Hung M. Bui, Alexandra Florea, Hieu T. Ngo
Under the Generalized Riemann Hypothesis, we prove that given any two distinct imprimitive Dirichlet characters modulo , a positive proportion of characters $Ï…
Nonvanishing of --functions associated to fixed order characters over function fields
Chantal David, Alexandra Florea, Matilde Lalin
We show that a positive proportion of the values are non-zero, where is the residue symbol for over , when av…
The shifted convolution problem in function fields
Alexandra Florea, Matilde LalÃn, Amita Malik +1
We study the shifted convolution problem for the divisor function in function fields in the large degree limit, that is, the average value of where runs over moni…
Moments of Artin-Schreier L-functions
Alexandra Florea, Edna Jones, Matilde Lalin
We compute moments of -functions associated to the polynomial family of Artin--Schreier covers over , where is a power of a prime , when the size of the f…