2018年1月2日
The Riemann Hypothesis and Holomorphic Index in Complex Dynamics
Experimental Mathematics
- 巻
- 27
- 号
- 1
- 開始ページ
- 37
- 終了ページ
- 46
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1080/10586458.2016.1217443
- 出版者・発行元
- Taylor and Francis Inc.
We present an interpretation of the Riemann hypothesis in terms of complex and topological dynamics. For example, the Riemann hypothesis is true and all zeros of the Riemann zeta function are simple if and only if a meromorphic function that is explicitly given in this note has no attracting fixed point. To obtain this, we use the holomorphic index (residue fixed point index) that characterizes the local properties of the fixed points in complex dynamics.
- リンク情報
- ID情報
-
- DOI : 10.1080/10586458.2016.1217443
- ISSN : 1944-950X
- ISSN : 1058-6458
- SCOPUS ID : 84991035072
- Web of Science ID : WOS:000435506900004