53 citations · 53 across the 8 of their papers we have counts for
14 papers · 1 filter
A Note on Twisted Moments of Dirichlet -functions
J. C. Andrade, J. MacMillan
In this paper, we establish an asymptotic formula for the twisted second moments of Dirichlet -functions with one and two twists when averaged over all primitive Dirichlet chara…
On the Moments of Certain Families of Dirichlet -functions
J. C. Andrade, K. Smith
In this paper we address the problem of computing asymptotic formulae for the expected values and second moments of central values of primitive Dirichlet -functions $L(1/2,χ_{8d…
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…
Generalisations of Ramanujan sums for Polynomial rings over finite fields
J. C. Andrade, J. R. P. Hanslope
In this paper, we consider a general form of the analogue of Ramanujan's sum in the ring of polynomials over a finite field. We first prove some multiplicative properties of such f…
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…
The First Moment of for Real Quadratic Function Fields
J. C. Andrade, J. MacMillan
In this paper we use techniques first introduced by Florea to improve the asymptotic formula for the first moment of the quadratic Dirichlet L-functions over the rational function…