Seungjai Lee

activity

20162022

collaborators

6 papers

math.RA2022

Uniformity in Higher class Free Lie algebras

Marcus du Sautoy, Seungjai Lee

Let $f_{c, 2}$ denote a free class- $c$ Lie rings on $2$ generators. We investigate the zeta functions enumerating graded ideals in $f_{c, 2} (F_{p})$ for…

math.GR2021

The groups and nilpotent Lie rings of order $p^{8}$ with maximal class

Seungjai Lee, Michael Vaughan-Lee

We classify the nilpotent Lie rings of order $p^{8}$ with maximal class for $p \geq 5$ . This also provides a classification of the groups of order $p^{8}$ with maximal class for $p \ge…

math.CO2020

Hilbert quasipolynomials and their roots

Seungjai Lee

We investigate the roots of Hilbert quasipolynomials arising from certain rational generating functions.

math.GR2020

Normal zeta functions of small $T_{2}$ -groups and their behaviour on residue classes

Seungjai Lee

Let $G$ be a finitely generate nilpotent class-2 torsion-free group. We study how the zeta function enumerating normal subgroups of G varies on residue classes. In particular, we s…

math.RA2016

Enumerating graded ideals in graded rings associated to free nilpotent Lie rings

Seungjai Lee, Christopher Voll

We compute the zeta functions enumerating graded ideals in the graded Lie rings associated with the free $d$ -generator Lie rings $f_{c, d}$ of nilpotency class $c$ for al…

math.NT2016

On the twisted quadratic moment for Dirichlet L-functions

Seok Hyeong Lee, Seungjai Lee

Given $c,$ a positive integer, we give an explicit formula and an asymptotic formula for \[ \sumχ(c)|L(1,\,χ)|^{2}, \] where $χ$ is the non-trivial Dirichlet character mod $f$ with…

Uniformity in Higher class Free Lie algebras

The groups and nilpotent Lie rings of order p8 with maximal class

Hilbert quasipolynomials and their roots

Normal zeta functions of small T2​-groups and their behaviour on residue classes

Enumerating graded ideals in graded rings associated to free nilpotent Lie rings

On the twisted quadratic moment for Dirichlet L-functions

The groups and nilpotent Lie rings of order $p^{8}$ with maximal class

Normal zeta functions of small $T_{2}$ -groups and their behaviour on residue classes