Yoonbok Lee

activity

20082025

most citedSimple zeros of primitive Dirichlet

L

-functions and the asymptotic large sieve

1 citations · 1 across the 11 of their papers we have counts for

collaborators

16 papers

math.NT2025

The $n^{t h}$ centered moments of a large orthogonal family of automorphic $L$ -functions

Vorrapan Chandee, Yoonbok Lee, Xiannan Li

We obtain the $n$ th centered moments of one level densities of a large orthogonal family of $L$ -functions associated with holomorphic Hecke newforms of level $q$ , averaged over $q\…

math.NT2025

Universality of the zeta function in short intervals

Yoonbok Lee, Łukasz Pańkowski

We improve the universality theorem of the Riemann zeta-function in short intervals by establishing universality for significantly shorter intervals $[T, T + H]$ . Assuming the Riemann…

math.NT2023

Discrepancy bounds for the distribution of $L$ -functions near the critical line

Yoonbok Lee

We investigate the joint distribution of $L$ -functions on the line $σ = \frac{1}{2} + \frac{1}{G ( T )}$ and $t \in [T, 2 T]$ , where $ \log \log T \leq G(T) \leq \frac{ \log T}{ ( \log \lo…

math.NT2023

Selberg's central limit theorem of $L$ -functions near the critical line

Yoonbok Lee

We find an asymptotic expansion of a multi-dimensional version of Selberg's central limit theorem for $L$ -functions on $σ = \frac{1}{2} + (lo g T)^{- θ}$ and $t \in [T, 2 T]$ , where $…

math.NT2021

Omega results for cubic field counts via lower-order terms in the one-level density

Peter J. Cho, Daniel Fiorilli, Yoonbok Lee +1

In this paper we obtain a precise formula for the $1$ -level density of $L$ -functions attached to non-Galois cubic Dedekind zeta functions. We find a secondary term which is unique…

math.NT2021

An asymptotic expansion of Selberg's central limit theorem near the critical line

Yoonbok Lee

We find an asymptotic expansion of Selberg's central limit theorem for the Riemann zeta function on $σ = \frac{1}{2} + (lo g T)^{- θ}$ and $t \in [T, 2 T]$ , where $0 < θ < \frac{1}{2}$ is a…

math.NT2020

The number of zeros of linear combinations of $L$ -functions near the critical line

Youness Lamzouri, Yoonbok Lee

In this paper, we investigate the zeros near the critical line of linear combinations of $L$ -functions belonging to a large class, which conjecturally contains all $L$ -functions ar…

math.NT2018

On the zeros of Epstein zeta functions near the critical line

Yoonbok Lee

Let $Q$ be a positive definite quadratic form with integral coefficients and let $E (s, Q)$ be the Epstein zeta function associated with $Q$ . Assume that the class number of $Q$ is b…

math.NT2017

The $a$ -values of the Riemann zeta function near the critical line

Junsoo Ha, Yoonbok Lee

We study the value distribution of the Riemann zeta function near the line $ℜ s = 1/2$ . We find an asymptotic formula for the number of $a$ -values in the rectangle $ 1/2 + h_1 /…

math.NT2017

$n$ -level density of the low-lying zeros of primitive Dirichlet $L$ -functions

Vorrapan Chandee, Yoonbok Lee

Katz and Sarnak conjectured that the statistics of low-lying zeros of various family of $L$ -functions matched with the scaling limit of eigenvalues from the random matrix theory. I…

math.NT2015

Zero-density estimates for Epstein zeta functions

Steven Gonek, Yoonbok Lee

We investigate the zeros of Epstein zeta functions associated with a positive definite quadratic form with rational coefficients in the vertical strip $σ_{1} < ℜ s < σ_{2}$ , where…

math.NT2015

Selberg's orthonormality conjecture and joint universality of L-functions

Yoonbok Lee, Takashi Nakamura, Łukasz Pańkowski

In the paper we introduce the new approach how to use an orthonormality relation of coefficients of Dirichlet series defining given L-functions from the Selberg class to prove join…

math.NT2015

Joint universality for Lerch zeta-functions

Yoonbok Lee, Takashi Nakamura, Łukasz Pańkowski

For $0 < α, λ \leq 1$ , the Lerch zeta-function is defined by $L (s; α, λ)$ $:= \sum_{n = 0}^{\infty} e^{2 π iλn} (n + α)^{- s}$ , where $σ > 1$ . In this paper, we prove joint universality for Lerch…

math.NT2012★ 1 cited

Simple zeros of primitive Dirichlet $L$ -functions and the asymptotic large sieve

Vorrapan Chandee, Yoonbok Lee, Sheng-chi Liu +1

Assuming the Generalized Riemann Hypothesis (GRH), we show using the asymptotic large sieve that 91% of the zeros of primitive Dirichlet $L$ -functions are simple. This improves on…

math.NT2012

On the zeros of Epstein zeta functions

Yoonbok Lee

We investigate the zeros of Epstein zeta functions associated with a positive definite quadratic form with rational coefficients. Davenport and Heilbronn, and also Voronin, proved…

math.NT2008

Pair correlation of the zeros of the derivative of the Riemann $ξ$ -function

David W. Farmer, Steven M. Gonek

The complex zeros of the Riemannn zeta-function are identical to the zeros of the Riemann xi-function, $ξ (s)$ . Thus, if the Riemann Hypothesis is true for the zeta-function, it is…

The nth centered moments of a large orthogonal family of automorphic L-functions

Universality of the zeta function in short intervals

Discrepancy bounds for the distribution of L-functions near the critical line

Selberg's central limit theorem of L-functions near the critical line

Omega results for cubic field counts via lower-order terms in the one-level density

An asymptotic expansion of Selberg's central limit theorem near the critical line

The number of zeros of linear combinations of L-functions near the critical line

On the zeros of Epstein zeta functions near the critical line

The a-values of the Riemann zeta function near the critical line

n-level density of the low-lying zeros of primitive Dirichlet L-functions

Zero-density estimates for Epstein zeta functions

Selberg's orthonormality conjecture and joint universality of L-functions

Joint universality for Lerch zeta-functions

Simple zeros of primitive Dirichlet L-functions and the asymptotic large sieve

On the zeros of Epstein zeta functions

Pair correlation of the zeros of the derivative of the Riemann ξ-function

The $n^{t h}$ centered moments of a large orthogonal family of automorphic $L$ -functions

Discrepancy bounds for the distribution of $L$ -functions near the critical line

Selberg's central limit theorem of $L$ -functions near the critical line

The number of zeros of linear combinations of $L$ -functions near the critical line

The $a$ -values of the Riemann zeta function near the critical line

$n$ -level density of the low-lying zeros of primitive Dirichlet $L$ -functions

Simple zeros of primitive Dirichlet $L$ -functions and the asymptotic large sieve

Pair correlation of the zeros of the derivative of the Riemann $ξ$ -function