Nonpolar singularities of local zeta functions in some smooth case

Joe Kamimoto, Toshihiro Nose

研究成果: Contribution to journalArticle査読

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
ページ(範囲)661-676
ページ数16
ジャーナルTransactions of the American Mathematical Society
372
1
DOI
出版ステータス出版済み - 2019

All Science Journal Classification (ASJC) codes

  • 数学 (全般)
  • 応用数学

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