2 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.CA2022
Asymptotic expansion of oscillatory integrals with singular phases
Joe Kamimoto, Hiromichi Mizuno
The purpose of this article is to describe the singularities of one-dimensional oscillatory integrals, whose phases have a certain singularity, in the form of an asymptotic expansi…