3 citations · 5 across the 8 of their papers we have counts for
10 papers
The proportion of monogenic orders of prime power indices of the pure cubic field
Minchan Kang, Dohyeong Kim
In this paper, we investigate the proportion of monogenic orders among the orders whose indices are a power of a fixed prime in a pure cubic field. We prove that the proportion is…
Path Integrals and p-adic L-functions
Magnus Carlson, Hee-Joong Chung, Dohyeong Kim +3
We prove an arithmetic path integral formula for the inverse p-adic absolute values of the Kubota-Leopoldt p-adic L-functions at roots of unity.
Batalin-Vilkovisky formalism in the -adic Dwork theory
Dohyeong Kim, Jeehoon Park, Junyeong Park
The goal of this article is to develop BV (Batalin-Vilkovisky) formalism in the -adic Dwork theory. Based on this formalism, we explicitly construct a -adic dGBV algebra (dif…
Discrete Hodge star operator on 3-manifolds
Dohyeong Kim
Scott Wilson introduced the notion of combinatorial Hodge star operators on a compact oriented triangulated manifold , which act on the singular cohomology ring of . Such an…
Abelian arithmetic Chern-Simons theory and arithmetic linking numbers
Hee-Joong Chung, Dohyeong Kim, Minhyong Kim +3
Following the method of Seifert surfaces in knot theory, we define arithmetic linking numbers and height pairings of ideals using arithmetic duality theorems, and compute them in t…
Integral points on the complement of plane quartics
Dohyeong Kim
Let be the complement of a plane quartic curve defined over a number field. Our main theorem confirms the Lang-Vojta conjecture for when is a generic smooth quartic…
Arithmetic Chern-Simons Theory II
Hee-Joong Chung, Dohyeong Kim, Minhyong Kim +2
We apply ideas of Dijkgraaf and Witten on three-dimensional topological quantum field theory to arithmetic curves, that is, the spectra of rings of integers in algebraic number fie…
Descent for the punctured universal elliptic curve, and the average number of integral points on elliptic curves
Dohyeong Kim
We show that the average number of integral points on elliptic curves, counted modulo the natural involution on a punctured elliptic curve, is bounded from above by $2.1 \times 10^…
A modular approach to Thue-Mahler equations
Dohyeong Kim
Let be a non-degenerate binary cubic form with integral coefficients, and let be an arbitrary finite set of prime numbers. By a classical theorem of Mahler, there are…
On the transfer congruence between -adic Hecke -functions
Dohyeong Kim
We prove the transfer congruence between -adic Hecke -functions for CM fields over cyclotomic extensions, which is a non-abelian generalization of the Kummer's congruence. Th…