WonTae Hwang

activity

20172026

most citedA reciprocal sum related to the Riemann zeta function at s=6

5 citations · 12 across the 14 of their papers we have counts for

collaborators

15 papers

math.NT2026

Frobenius Numbers Associated with Primitive Pythagorean Quadruples

WonTae Hwang, Kyunghwan Song

Let $(a, b, c, d) = (2 mn, 2 m p, m^{2} - n^{2} - p^{2}, m^{2} + n^{2} + p^{2})$ be a primitive Pythagorean quadruple and let $S = ⟨ a, b, c, d ⟩$ be the numerical semigroup gene…

math.NT2026

Continuous approximation to the reciprocal sum of the cubes of Fibonacci numbers

WonTae Hwang, Jond-Do Park, Kyunghwan Song

Let $f_{n}$ be the $n$ -th Fibonacci number with $f_{1} = f_{2} = 1$ . Recently exact formulas for the integer parts of the tails of inverse reciprocal Fibonacci numbers have been obtained in…

math.GT2026

Frobenius Alexander quandles, knot colorings, and isogeny classes of abelian varieties over finite fields

WonTae Hwang

We introduce the notion of Frobenius Alexander quandles associated with abelian varieties over finite fields, and study them from both knot-theoretic and arithmetic viewpoints. We…

math.NT2024

The Frobenius problem for Numerical Semigroups generated by binomial coefficients

WonTae Hwang, Kyunghwan Song

The greatest integer that does not belong to a numerical semigroup $S$ is called the Frobenius number of $S$ , and finding the Frobenius number is called the Frobenius problem. In t…

math.GR2022

Jordan constants of abelian surfaces over finite fields

WonTae Hwang, Bo-Hae Im

We compute the exact values of the Jordan constants of abelian surfaces over finite fields.

math.NT2020

A classification of the automorphism groups of polarized abelian threefolds over finite fields

WonTae Hwang, Bo-Hae Im, Hansol Kim

We give a classification of maximal elements of the set of finite groups that can be realized as the automorphism groups of polarized abelian threefolds over finite fields.

math.GR2020★ 2 cited

Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic

WonTae Hwang

We compute and provide a detailed description on the Jordan constants of the multiplicative subgroup of quaternion algebras over number fields of small degree. As an application, w…

math.NT2020

Absolutely simple polarized abelian varieties of odd Sophie Germain prime dimension over finite fields with maximal automorphism groups

WonTae Hwang, Kyunghwan Song

For each Sophie Germain prime $g \geq 5,$ we construct an absolutely simple polarized abelian variety of dimension $g$ over a finite field, whose automorphism group is a cyclic gro…

math.NT2020

On the automorphism groups of simple polarized abelian fourfolds over finite fields and Jordan constants

WonTae Hwang

We give a classification of maximal elements of the set of finite groups that can be realized as the full automorphism groups of simple polarized abelian fourfolds over finite fiel…

math.NT2019

Counting the number of the twists of certain polarized abelian varieties

WonTae Hwang, Keunyoung Jeong

We count the number of isomorphism classes of degree $d$ -twists of some polarized abelian varieties over finite fields of odd prime dimension. This can be seen as a higher dimensio…

math.NT2019

On the integer part of the reciprocal of the Riemann zeta function tail at certain rational numbers in the critical strip

WonTae Hwang, Kyunghwan Song

We prove that the integer part of the reciprocal of the tail of $ζ (s)$ at a rational number $s = \frac{1}{p}$ for any integer with $p \geq 5$ or $s = \frac{2}{p}$ for any odd integer w…

math.NT2019

Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields

WonTae Hwang

We prove that the automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields are cyclic, and give a complete list of finite groups that can…

math.NT2018★ 5 cited

On a classification of the automorphism groups of polarized abelian surfaces over finite fields

WonTae Hwang

We give a classification of maximal elements of the set of finite groups that can be realized as the full automorphism groups of polarized abelian surfaces over finite fields.

math.NT2017★ 5 cited

A reciprocal sum related to the Riemann zeta function at s=6

WonTae Hwang, Kyunghwan Song

We introduce an explicit formula for a reciprocal sum related to the Riemann zeta function at s=6, and pose one question related to a computational formula for larger values of s.

math.NT2017

On a generalized $k$ -FL sequence and its applications

WonTae Hwang, Youngwoo Kwon, Kyunghwan Song

We introduce a generalized $k$ -FL sequence and special kind of pairs of real numbers that are related to it, and give an application on the integral solutions of a certain equation…

Frobenius Numbers Associated with Primitive Pythagorean Quadruples

Continuous approximation to the reciprocal sum of the cubes of Fibonacci numbers

Frobenius Alexander quandles, knot colorings, and isogeny classes of abelian varieties over finite fields

The Frobenius problem for Numerical Semigroups generated by binomial coefficients

Jordan constants of abelian surfaces over finite fields

A classification of the automorphism groups of polarized abelian threefolds over finite fields

Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic

Absolutely simple polarized abelian varieties of odd Sophie Germain prime dimension over finite fields with maximal automorphism groups

On the automorphism groups of simple polarized abelian fourfolds over finite fields and Jordan constants

Counting the number of the twists of certain polarized abelian varieties

On the integer part of the reciprocal of the Riemann zeta function tail at certain rational numbers in the critical strip

Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields

On a classification of the automorphism groups of polarized abelian surfaces over finite fields

A reciprocal sum related to the Riemann zeta function at s=6

On a generalized k-FL sequence and its applications

On a generalized $k$ -FL sequence and its applications