1 citations · 1 across the 2 of their papers we have counts for
5 papers
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…
Meromorphic continuation and non-polar singularities of local zeta functions in some smooth cases
Toshihiro Nose
It is known that local zeta functions associated with real analytic functions can be analytically continued as meromorphic functions to the hole complex plane. In this paper, certa…
Meromorphy of local zeta functions in smooth model cases
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. But, in the case of…
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…
Asymptotic limit of oscillatory integrals with certain smooth phases
Joe Kamimoto, Toshihiro Nose
We give an exact result about the asymptotic limit of an oscillatory integral whose phase contains a certain flat term. Corresponding to the real analytic phase case, one can see a…