J. Macmillan

collaborators

3 papers

math.NT2020

Rudnick and Soundarajan's Theorem over Prime Polynomials for the Rational Function Field

J. MacMillan

In this paper, we use the methods of Andrade, Rudnick and Soundarajan to prove a Theorem about Lower bounds of moments of quadratic Dirichlet L-functions associated to monic irredu…

math.NT2019

Remark on a Simple Proof of the Mean Value of $K_{2} (O)$ in Function Fields

J. MacMillan

Let $F_{q}$ denote a finite field of odd cardinality $q$ , $A = F_{q} [T]$ the polynomial ring over $F_{q}$ and $k = F_{q} (T)$ the rational function…

math.NT2019

The First Moment of $L (\frac{1}{2}, χ)$ 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…

Rudnick and Soundarajan's Theorem over Prime Polynomials for the Rational Function Field

Remark on a Simple Proof of the Mean Value of K2​(O) in Function Fields

The First Moment of L(21​,χ) for Real Quadratic Function Fields

Remark on a Simple Proof of the Mean Value of $K_{2} (O)$ in Function Fields

The First Moment of $L (\frac{1}{2}, χ)$ for Real Quadratic Function Fields