3 papers
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
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.CA2018
Non-polar singularities of local zeta functions in some smooth case
Joe Kamimoto, Toshihiro Nose
It is known that local zeta functions associated with real analytic functions can be analytically continued as meromorphic functions to the whole complex plane. In this paper, the…