137 citations · 204 across the 49 of their papers we have counts for
50 papers
-adic spectral zeta functions via the inverse Stieltjes transform
Su Hu, Min-Soo Kim
Spectral zeta functions provide a standard tool for regularizing determinants of differential operators in quantum physics. In a previous paper (J. Math. Phys. 66: 083505, 2025), w…
Infinite-order -adic differential equations for Hurwitz-type Euler zeta functions: Uniqueness and higher-dimensional extensions
Su Hu, Min-Soo Kim
We generalize the one-dimensional infinite-order linear differential equation satisfied by the -adic Hurwitz-type Euler zeta function (Abh. Math. Semin. Univ. Hambg. 91: 117--13…
Alternating generalizations of Mizuno's product formula and the modified gamma functions
Su Hu, Min-Soo Kim
Let denote the modified gamma function recently introduced by the authors as an alternating analogue of the classical Euler gamma function. In this paper, we establish…
Ramanujan-type identities for alternating Hurwitz zeta functions
Meng Yuan, Su Hu, Min-Soo Kim
Around 1910, in an unpublished manuscript, Ramanujan proposed the following identity for : \[ \begin{aligned} α^{-n}\,&\left\{\dfrac{1}{2}\,ζ(2n + 1) + \sum_{m = 1}^{\inft…
On path integrals for wave functions taking -adic values
Su Hu, Min-Soo Kim
In this paper, we construct a -adic path integral via -adic multiple integrals. This integral describes the evolution of a wave function , defined as a map from a domai…
On the properties of alternating invariant functions
Haiqing Zhu, Su Hu, Min-Soo Kim
Functions satisfying the functional equation \begin{align*} \sum_{r=0}^{n-1} (-1)^r f(x+ry, ny) = f(x,y), \quad \text{for any positive odd integer }, \end{align*} are named the…