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

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Showing 2022Show all

3 papers · 1 filter

math.NT2022★ 1 cited

Some new examples of summation of divergent series from the viewpoint of distributions

Su Hu, Min-Soo Kim

Let ${a_{1}, a_{2}, \dots, a_{n}, \dots}$ be a sequence of complex numbers which has at most polynomial growth and satisfies an extra assumption. In this paper, inspired by a rec…

math.NT2022

Euler's transformation, zeta functions and generalizations of Wallis' formula

Qianqian Cai, Su Hu, Min-Soo Kim

In this note, we extend Euler's transformation formula from the alternating series to more general series. Then we give new expressions for the Riemann zeta function $ζ (s)$ by the…

math.NT2022

Euler's integral, multiple cosine function and zeta values

Su Hu, Min-Soo Kim

In 1769, Euler proved the following result $\int_{0}^{\frac{π}{2}} lo g (sin θ) d θ = - \frac{π}{2} lo g 2.$ In this paper, as a generalization, we evaluate the definite integrals $$ \int_…