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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B84-03.pdf | 208.33 kB | Adobe PDF | 見る/開く |
| タイトル: | Near Miss $abc$-Triples in Compactly Bounded Subsets (Inter-universal Teichmüller Theory Summit 2016) |
| 著者: | Wada, Yuki |
| 著者名の別形: | ワダ, ユキ |
| キーワード: | 11G05 The abc Conjecture analytic number theory |
| 発行日: | Jan-2021 |
| 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: | B84 |
| 開始ページ: | 193 |
| 終了ページ: | 227 |
| 抄録: | In the present paper, we study the existence of near miss abc-triples in compactly bounded subsets. In more concrete terms, we prove that there exist infinitely many abc-triples such that: 1. |abc| exceeds a certain quantity determined by the product of the distinct prime numbers of abc, and, moreover, 2. a certain value λ determined by a, b, c, which corresponds to the quantity "λ" in the Legendre form of an elliptic curve, lies in a given compactly bounded subset. |
| 記述: | "Inter-universal Teichmüller Theory Summit 2016". July 18-27, 2016. edited by Yuichiro Hoshi and Shinichi Mochizuki. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2021 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/261738 |
| 出現コレクション: | B84 Inter-universal Teichmüller Theory Summit 2016 |
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