H. Jung

activity

20162026

collaborators

4 papers

math.NT2026

The Period-Three Secondary Term in the Mean Value of $L (1/2, χ_{D})$ in the Hyperelliptic Ensemble

Hwanyup Jung

Let $q$ be an odd prime power. We revisit Florea's asymptotic formula for the first moment of quadratic Dirichlet $L$ -functions over the odd-degree hyperelliptic ensemble $\mathcal…

math.NT2018

The Integral Moments and Ratios of Quadratic Dirichlet $L$ -Functions over Monic Irreducible Polynomials in $F_{q} [T]$

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 $L$ -functions…

math.NT2017

Average values of L-functions in even characteristic

Sunghan Bae, Hwanyup Jung

Let $k = F_{q} (T)$ be the rational function field over a finite field $F_{q}$ , where $q$ is a power of $2$ . In this paper we solve the problem of averaging the qu…

math.NT2016

Average Values of $L$ -series for Real Characters in Function Fields

Julio C. Andrade, Sunghan Bae, Hwanyup Jung

We establish asymptotic formulae for the first and second moments of quadratic Dirichlet $L$ --functions, at the centre of the critical strip, associated to the real quadratic funct…

The Period-Three Secondary Term in the Mean Value of L(1/2,χD​) in the Hyperelliptic Ensemble

The Integral Moments and Ratios of Quadratic Dirichlet L-Functions over Monic Irreducible Polynomials in Fq​[T]

Average values of L-functions in even characteristic

Average Values of L-series for Real Characters in Function Fields

The Period-Three Secondary Term in the Mean Value of $L (1/2, χ_{D})$ in the Hyperelliptic Ensemble

The Integral Moments and Ratios of Quadratic Dirichlet $L$ -Functions over Monic Irreducible Polynomials in $F_{q} [T]$

Average Values of $L$ -series for Real Characters in Function Fields