Jeongho Park

activity

20122018

collaborators

5 papers

math.NT2018

Low-lying zeros of cubic Dirichlet $L$ -functions and the Ratios Conjecture

Peter J. Cho, Jeongho Park

We compute the one-level density for the family of cubic Dirichlet $L$ -functions when the support of the Fourier transform of a test function is in $(- 1, 1)$ . We also establish the…

math.NT2013

Almost universality of a sum of norms

Jeongho Park

In this paper the author considers a particular type of polynomials with integer coefficients, consisting of a perfect power and two norm forms of abelian number fields with coprim…

math.NT2012

Inverse problem for Pell equation and real quadratic fields of the least type

Jeongho Park

The purpose of this article is to give the solutions of the inverse problem for Pellian equations. For any rational number $0 < a / b < 1$ , the fundamental discriminants $D$ satisfyin…

math.NT2012

Notes on the Quadratic Integers and Real Quadratic Number Fields

Jeongho Park

It is shown that when a real quadratic integer $ξ$ of fixed norm $μ$ is considered, the fundamental unit $ε_{d}$ of the field $Q (ξ) = Q (d)$ satisfi…

math.NT2012

On the Regulators of Real Quadratic Number Fields

Jeongho Park

This paper deals with the quadratic integers of small norms and asserts that in some sense R >> (log D)^2 is true for almost all real quadratic number fields. (A few errata is corr…

Low-lying zeros of cubic Dirichlet L-functions and the Ratios Conjecture

Almost universality of a sum of norms

Inverse problem for Pell equation and real quadratic fields of the least type

Notes on the Quadratic Integers and Real Quadratic Number Fields

On the Regulators of Real Quadratic Number Fields

Low-lying zeros of cubic Dirichlet $L$ -functions and the Ratios Conjecture