Kyunghwan Song

activity

20152026

most citedThe inverses of tails of the Riemann zeta function

6 citations · 14 across the 15 of their papers we have counts for

collaborators

17 papers

math.NT2026

Telescopic Structure of Numerical Semigroups Generated by Unsigned Stirling Numbers of the First Kind

Takao Komatsu, Kyunghwan Song

Let $S_{n} = ⟨ [1 n], \dots, [n - 1 n] ⟩$ be the numerical semigroup generated by the nontrivial unsigned Stirling nu…

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.NT2026

$p$ -numerical semigroup of the sequence of consecutive odd integers

Takao Komatsu, Sungjin Hyun, Kyunghwan Song

We prove the $p$ -Frobenius problems proposed as Conjectures 7.1 and 7.5 developed by T. Komatsu and R. Pandey (Bull. Korean Math. Soc. 2025;62:1397--1409.) for two families of cons…

math.NT2026

The Frobenius problem for shifted square sequences

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.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.NT2022

A study on some approximations on the average number of the LLL bases in higher dimensions

Jaewon Jung, Kyunghwan Song

There is a result related to the average number of the $(δ, η)$ -LLL bases in dimension $n$ in theoretical sense but the formula seems to be complicated and computing in high dimens…

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.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★ 2 cited

Dynamic Structures of 2-adic Fibonacci Polynomials

Myunghyun Jung, Donggyun Kim, Kyunghwan Song

We prove recurrence relations and modulo periodic properties of multiple derivatives of Fibonacci polynomials. We apply the obtained results to present the dynamic structures of Fi…

math.DS2018

Minimality of $5$ -adic polynomial dynamical systems

Donggyun Kim, Youngwoo Kwon, Kyunghwan Song

We characterize the dynamical systems consisting of the set of 5-adic integers and polynomial maps which consist of only one minimal component.

math.NT2018★ 6 cited

The inverses of tails of the Riemann zeta function

Donggyun Kim, Kyunghwan Song

We present some bounds of the inverses of tails of the Riemann zeta function on $0 < s < 1$ and compute the integer parts of the inverses of tails of the Riemann zeta function for…

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★ 1 cited

The Frobenius problem for four numerical semigroups

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 th…

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…

math.NT2016

On the sequence made by the linear combination of k-Fibonacci and k-Lucas sequences

Kyunghwan Song, Youngwoo Kwon

The Fibonacci sequence is a sequence of numbers that has been studied for hundreds of years. In this paper, we introduce the new sequence S_{k,n} with initial conditions S_{k,0} =…

math.NT2015

The Frobenius problem for Generalized Thabit numerical semigroups

Kyunghwan Song

The greatest integer that does not belong to $S$ is the Frobenius number of $S$ and denoted by $F (S)$ . To solve the Frobenius problem means the study to find $F (S)$ . The Frobenius…

Telescopic Structure of Numerical Semigroups Generated by Unsigned Stirling Numbers of the First Kind

Frobenius Numbers Associated with Primitive Pythagorean Quadruples

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

p-numerical semigroup of the sequence of consecutive odd integers

The Frobenius problem for shifted square sequences

The Frobenius problem for Numerical Semigroups generated by binomial coefficients

A study on some approximations on the average number of the LLL bases in higher dimensions

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

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

Dynamic Structures of 2-adic Fibonacci Polynomials

Minimality of 5-adic polynomial dynamical systems

The inverses of tails of the Riemann zeta function

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

The Frobenius problem for four numerical semigroups

On a generalized k-FL sequence and its applications

On the sequence made by the linear combination of k-Fibonacci and k-Lucas sequences

The Frobenius problem for Generalized Thabit numerical semigroups

$p$ -numerical semigroup of the sequence of consecutive odd integers

Minimality of $5$ -adic polynomial dynamical systems

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