Min-Soo Kim

activity

20072026

most citedGHZ versus W : Quantum Teleportation through Noisy Channels

137 citations · 204 across the 49 of their papers we have counts for

collaborators

Showing 2018 · math.NTShow all

4 papers · 2 filters

math.NT2018

Hamiltonians for the zeros of a general family of zeta functions

Su Hu, Min-Soo Kim

Towards the Hilbert-Pólya conjecture, in this paper, we present a general construction of Hamiltonian $H^_{f},$ which leads a general family of Hurwitz zeta functions $(-1)^{z…

math.NT2018★ 1 cited

Irregular primes with respect to Genocchi numbers and Artin's primitive root conjecture

Su Hu, Min-Soo Kim, Pieter Moree +1

In this paper, we introduce and study a variant of Kummer's notion of (ir)regularity of primes which we call G-irregularity. It is based on Genocchi numbers $G_{n}$ , rather than Bern…

math.NT2018

On Dirichlet's lambda functions

Su Hu, Min-Soo Kim

Let $λ (s) = n = 0 \sum \infty \frac{1}{( 2 n + 1 ) ^{s}},$ $β (s) = n = 0 \sum \infty \frac{( - 1 ) ^{n}}{( 2 n + 1 ) ^{s}},$ and $η (s) = n = 1 \sum \infty \frac{( - 1 ) ^{n - 1}}{n ^{s}}$ be the Dirichlet lambda fu…

math.NT2018

On the congruences of Eisenstein series with polynomial indexes

Su Hu, Min-Soo Kim, Min Sha

In this paper, based on Serre's $p$ -adic family of Eisenstein series, we prove a general family of congruences for Eisenstein series $G_{k}$ in the form $$ \sum_{i=1}^n g_i(p)G_{f_i(…