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math.NT2023
Entanglement entropies in the abelian arithmetic Chern-Simons theory
Hee-Joong Chung, Dohyeong Kim, Minhyong Kim +2
The notion of {\em entanglement entropy} in quantum mechanical systems is an important quantity, which measures how much a physical state is entangled in a composite system. Mathem…
math.NT2022
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.
math.NT2015★ 3 cited
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…