3 papers
math.NT2020
The Moments and statistical Distribution of Class number of Primes over Function Fields
Julio Andrade, Asmaa Shamesaldeen
We investigate the moment and the distribution of $L(1,\x_P),$ where $\x_P$ varies over quadratic characters associated to irreducible polynomials of degree over $\mathb…
math.NT2019
Hybrid Euler-Hadamard Product for Dirichlet -functions with Prime conductors over Function Fields
Julio Andrade, Asmaa Shamesaldeen
In this paper we extend the hybrid Euler-Hadamard product model for quadratic Dirichlet -functions associated to irreducible polynomials over function fields. We also establish…
math.NT2018
The Integral Moments and Ratios of Quadratic Dirichlet -Functions over Monic Irreducible Polynomials in
Julio Andrade, Hwanyup Jung, Asmaa Shamesaldeen
In this paper we extend to the function field setting the heuristics formerly developed by Conrey, Farmer, Keating, Rubinstein and Snaith, for the integral moments of -functions…