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math.CV2026
Analytic continuation of local zeta functions to a slit complex plane: the one-dimensional case
Joe Kamimoto, Hiromichi Mizuno, Toshihiro Nose
In this paper, we provide a sufficient condition under which the one-dimensional local zeta function admits a holomorphic continuation to the complex plane cut along the negative r…
math.CV2026★ 1 cited
Unbounded Reinhardt domains with finite-dimensional Bergman spaces in $\C^n$
Chika Hayashida, Joe Kamimoto
In this paper, we construct unbounded domains in $\C^n$ (), whose Bergman spaces are nontrivial and finite-dimensional. We further show that the Bergman metrics on these d…
math.CV2023
The asymptotic behavior of the Bergman kernel on pseudoconvex model domains
Joe Kamimoto
In this paper, we investigate the asymptotic behavior of the Bergman kernel at the boundary for some pseudoconvex model domains. This behavior can be described by the geometrical i…