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Irrationality of Fast Converging Series of Rational Numbers
http://hdl.handle.net/2261/1923
http://hdl.handle.net/2261/1923028779e9-fc33-4ece-8c2e-c50f7002f3b0
名前 / ファイル | ライセンス | アクション |
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jms080206.pdf (248.6 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | Irrationality of Fast Converging Series of Rational Numbers | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Fast converging series | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | irrationality | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Duverney, Daniel
× Duverney, Daniel |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We say that the series of general term $u_n\ ot= 0$ is fast converging if $\log\vv{u_n}\leq c 2^n$ for some $c<0$. We prove irrationality results and compute irrationality measures for some fast converging series of rational numbers, by using Mahler's transcendence method in the form introduced by Loxton and Van der Poorten. With very weak assumptions on sequence $u_n$, this method allows to obtain only irrationality results. |
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書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 8, 号 2, p. 275-316, 発行日 2001 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1837165 | ||||||
Mathmatical Subject Classification | ||||||
11J72(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
11J82(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2000-09-13 |