activity
20082021
most citedSimple zeros of primitive Dirichlet -functions and the asymptotic large sieve

1 citations · 1 across the 4 of their papers we have counts for

collaborators

6 papers

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 and , where is a…

math.NT2018

On the zeros of Epstein zeta functions near the critical line

Yoonbok Lee

Let be a positive definite quadratic form with integral coefficients and let be the Epstein zeta function associated with . Assume that the class number of is b…

math.NT2017

The -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 . We find an asymptotic formula for the number of -values in the rectangle $ 1/2 + h_1 /…

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.NT20121 cited

Simple zeros of primitive Dirichlet -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 -functions are simple. This improves on…

math.NT2008

Pair correlation of the zeros of the derivative of the Riemann -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, . Thus, if the Riemann Hypothesis is true for the zeta-function, it is…