Nonpolar singularities of local zeta functions in some smooth case

Joe Kamimoto, Toshihiro Nose

研究成果: ジャーナルへの寄稿記事

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.

元の言語英語
ページ(範囲)661-676
ページ数16
ジャーナルTransactions of the American Mathematical Society
372
発行部数1
DOI
出版物ステータス出版済み - 1 1 2019

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Riemann zeta function
Singularity
Real Analytic Functions
Asymptotic Limit
Meromorphic Function
Smooth function
Argand diagram
Pole
Analytic function
Poles

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

これを引用

Nonpolar singularities of local zeta functions in some smooth case. / Kamimoto, Joe; Nose, Toshihiro.

:: Transactions of the American Mathematical Society, 巻 372, 番号 1, 01.01.2019, p. 661-676.

研究成果: ジャーナルへの寄稿記事

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