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math.CV2021★ 1 cited
On a Bernstein-Sato polynomial of a meromorphic function
Kiyoshi Takeuchi
We define Bernstein-Sato polynomials for meromorphic functions and study their basic properties. In particular, we prove a Kashiwara-Malgrange type theorem on their geometric monod…
math.CV2009★ 3 cited
Coefficients of the poles of local zeta functions and their applications to oscillating integrals
Toshihisa Okada, Kiyoshi Takeuchi
We introduce a new method which enables us to calculate the coefficients of the poles of local zeta functions very precisely and prove some explicit formulas. Some vanishing theore…