このアイテムのアクセス数: 167
このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B64-01.pdf | 4.96 MB | Adobe PDF | 見る/開く |
完全メタデータレコード
| DCフィールド | 値 | 言語 |
|---|---|---|
| dc.contributor.author | Hirata-Kohno, Noriko | en |
| dc.contributor.author | Ito, Masaru | en |
| dc.contributor.author | Washio, Yusuke | en |
| dc.contributor.alternative | 平田, 典子 | ja |
| dc.contributor.alternative | 伊藤, 勝 | ja |
| dc.contributor.alternative | 鷲尾, 勇介 | ja |
| dc.contributor.transcription | ヒラタ, ノリコ | ja-Kana |
| dc.contributor.transcription | イトウ, マサル | ja-Kana |
| dc.contributor.transcription | ワシオ, ユウスケ | ja-Kana |
| dc.date.accessioned | 2019-08-26T00:29:58Z | - |
| dc.date.available | 2019-08-26T00:29:58Z | - |
| dc.date.issued | 2017-05 | - |
| dc.identifier.issn | 1881-6193 | - |
| dc.identifier.uri | http://hdl.handle.net/2433/243657 | - |
| dc.description | "Algebraic Number Theory and Related Topics 2014". December 1～5, 2014. edited by Takeshi Tsuji, Hiroki Takahashi and Yuichiro Hoshi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. | en |
| dc.description.abstract | Let Lis(z) be the s-th polylogarithmic function. Let α ∈ Q, 0 <｜2｜< 1. In this article, we give a criterion for the linear independence of the s+1 numbers Li1(α), Li2(α), …, Lis(α) and 1 over the number field Q(α). The new part is that we prove the linear independence of such polylogarithms over a number field of arbitrary degree. We also show examples and a linear independence measure. | en |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | eng | - |
| dc.publisher | Research Institute for Mathematical Sciences, Kyoto University | en |
| dc.publisher.alternative | 京都大学数理解析研究所 | ja |
| dc.rights | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. | en |
| dc.subject | 11D75 | en |
| dc.subject | 11G55 | en |
| dc.subject | 11J25 | en |
| dc.subject | 11J72 | en |
| dc.subject | 41A21 | en |
| dc.subject | Pade approximation | en |
| dc.subject | polylogarithm | en |
| dc.subject | irrationality | en |
| dc.subject | linear independence | en |
| dc.subject.ndc | 410 | - |
| dc.title | A criterion for the linear independence of polylogarithms over a number field (Algebraic Number Theory and Related Topics 2014) | en |
| dc.type | departmental bulletin paper | - |
| dc.type.niitype | Departmental Bulletin Paper | - |
| dc.identifier.ncid | AA12196120 | - |
| dc.identifier.jtitle | 数理解析研究所講究録別冊 | ja |
| dc.identifier.volume | B64 | - |
| dc.identifier.spage | 3 | - |
| dc.identifier.epage | 18 | - |
| dc.textversion | publisher | - |
| dc.sortkey | 01 | - |
| dc.address | Dept. of Math., College of Science and Technology, Nihon University | en |
| dc.address | Dept. of Math., College of Science and Technology, Nihon University | en |
| dc.address | Buzanjoshi attached high school, Nihon University | en |
| dcterms.accessRights | open access | - |
| datacite.awardNumber | 26520208 | - |
| datacite.awardNumber | 15K04799 | - |
| dc.identifier.pissn | 1881-6193 | - |
| dc.identifier.jtitle-alternative | RIMS Kokyuroku Bessatsu | en |
| jpcoar.funderName | 日本学術振興会 | ja |
| jpcoar.funderName | 日本学術振興会 | ja |
| jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
| jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
| 出現コレクション: | B64 Algebraic Number Theory and Related Topics 2014 | |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。