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20082025
most citedSimple zeros of primitive Dirichlet -functions and the asymptotic large sieve

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math.NT2025

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

Vorrapan Chandee, Yoonbok Lee, Xiannan Li

We obtain the th centered moments of one level densities of a large orthogonal family of -functions associated with holomorphic Hecke newforms of level , 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 . Assuming the Riemann…

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…