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Comments on the height reducing property
http://hdl.handle.net/2241/119614
http://hdl.handle.net/2241/11961430df2439-7b64-4ccc-a822-203651233e07
名前 / ファイル | ライセンス | アクション |
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CEJM_11-9.pdf (175.3 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2013-08-29 | |||||
タイトル | ||||||
タイトル | Comments on the height reducing property | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Akiyama, Shigeki
× Akiyama, Shigeki× Zaimi, Toufik |
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著者別名 |
秋山, 茂樹
× 秋山, 茂樹 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A complex number α is said to satisfy the height reducing property if there is a finite subset, say F, of the ring ℤ of the rational integers such that ℤ[α] = F[α]. This property has been considered by several authors, especially in contexts related to self affine tilings and expansions of real numbers in non-integer bases. We prove that a number satisfying the height reducing property, is an algebraic number whose conjugates, over the field of the rationals, are all of modulus one, or all of modulus greater than one. Expecting the converse of the last statement is true, we show some theoretical and experimental results, which support this conjecture. | |||||
書誌情報 |
Central European Journal of mathematics 巻 11, 号 9, p. 1616-1627, 発行日 2013-09 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1895-1074 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.2478/s11533-013-0262-4 | |||||
権利 | ||||||
権利情報 | © Versita Sp. z o.o. The original publication is available at www.springerlink.com | |||||
著者版フラグ | ||||||
値 | author | |||||
出版者 | ||||||
出版者 | SP Versita | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2241/119614 | |||||
識別子タイプ | HDL |