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Pell Equation. I. Systematic classification of the solutions of the Pell equation
http://hdl.handle.net/10083/2400
http://hdl.handle.net/10083/2400a934f832-751d-4a39-a6c0-595c9a577563
名前 / ファイル | ライセンス | アクション |
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KJ00004830808.pdf (1.2 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-04-30 | |||||
タイトル | ||||||
タイトル | Pell Equation. I. Systematic classification of the solutions of the Pell equation | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Hosoya, Haruo
× Hosoya, Haruo× Asamoto, Noriko |
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著者(ヨミ) | ||||||
識別子 | 70904 | |||||
識別子Scheme | WEKO | |||||
姓名 | ホソヤ, ハルオ | |||||
著者(ヨミ) | ||||||
識別子 | 70905 | |||||
識別子Scheme | WEKO | |||||
姓名 | アサモト, ノリコ | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Let the smallest non-trivial solution of Pell equation, x^2-Dy^2=1, be denoted by (x_1, y_1). The Pell equations for D were systematically classified into several types with respect to the form of the polynomial relations (PR's) among (D, x_1, y_1). The key strategies for this analysis are the value of y_1 and form of the continued fraction expansion of √<D>. Among the solutions of Pell equation with D below 100 only four D's were found to have no other D below ten thousand connected through a PR. All the PR's were shown to be derived from a pair of the "master equations". The results obtained in this paper show an effectiveness of the proposed strategies for the systematic analysis of the chaotic behavior of the solutions of Pell equation. | |||||
書誌情報 |
お茶の水女子大學自然科學報告 巻 57, 号 1, p. 57-83, 発行日 2006-09 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00298190 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00033958 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
形態 | ||||||
1189700 bytes | ||||||
日本十進分類法 | ||||||
主題Scheme | NDC | |||||
主題 | 400 | |||||
出版者 | ||||||
出版者 | お茶の水女子大学 | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | 紀要論文 | |||||
資源タイプ・ローカル | ||||||
紀要論文 | ||||||
資源タイプ・NII | ||||||
Departmental Bulletin Paper | ||||||
資源タイプ・DCMI | ||||||
text | ||||||
資源タイプ・ローカル表示コード | ||||||
03 | ||||||
所属 | ||||||
Ochanomizu University | ||||||
所属 | ||||||
Information Processing Center, Ochanomizu University |