# Nonpolar singularities of local zeta functions in some smooth case

Joe Kamimoto, Toshihiro Nose

1 被引用数 (Scopus)

## 抄録

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 case of specific (nonreal analytic) smooth functions is precisely investigated. Indeed, asymptotic limits of the respective local zeta functions at some singularities in one direction are explicitly computed. Surprisingly, it follows from these behaviors that these local zeta functions have singularities different from poles.

本文言語 英語 661-676 16 Transactions of the American Mathematical Society 372 1 https://doi.org/10.1090/tran/7771 出版済み - 2019

• 数学 (全般)
• 応用数学

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