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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B52-01.pdf | 1.05 MB | Adobe PDF | 見る/開く |
| タイトル: | A phase integral approach to irrationality : This article is dedicated to Professor T. Aoki in celebration of his 60th birthday (Exponential Analysis of Differential Equations and Related Topics) |
| 著者: | Napoletani, Domenico Struppa, Daniele C. |
| キーワード: | 65H10 65H20 11D99 11J72 phase integrals rationality test Diophantine equations |
| 発行日: | Nov-2014 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B52 |
| 開始ページ: | 1 |
| 終了ページ: | 10 |
| 抄録: | Let F(x) be an analytical, real valued function defined on a compact domain Bsubset mathbb{R}. We show that the potential irrationality of F(x) evaluated at x_{0}in B can be stated with respect to the lack of convergence of the phase of a suitable integral I(h), defined on an open, bounded domain, for h that goes to infinity. In particular, this allows us to introduce an analytical characterization of rational numbers. |
| 記述: | "Exponential Analysis of Differential Equations and Related Topics". October 15～18, 2013. edited by Yoshitsugu Takei. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2014 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/232908 |
| 出現コレクション: | B52 Exponential Analysis of Differential Equations and Related Topics |
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