Donggyun Kim

most citedDynamic Structures of 2-adic Fibonacci Polynomials

2 citations · 2 across the 1 of their papers we have counts for

collaborators

4 papers

math.NT2019

Dynamic Structures of Monomials on $p$ -adic Integers for Small Primes $p$

Myunghyun Jung, Donggyun Kim

We study the dynamic structures of the monomial $x^{m}$ over the ring of $p$ -adic integers for every positive integer $m$ and for primes $p = 2, 3$ and $5$ . The dynamic structures are d…

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

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…

Dynamic Structures of Monomials on p-adic Integers for Small Primes p

Dynamic Structures of 2-adic Fibonacci Polynomials

Minimality of 5-adic polynomial dynamical systems

The inverses of tails of the Riemann zeta function

Dynamic Structures of Monomials on $p$ -adic Integers for Small Primes $p$

Minimality of $5$ -adic polynomial dynamical systems