| P—adic超越连分数 |
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| 引用本文： | 袁进.P—adic超越连分数[J].纯粹数学与应用数学,1993,9(2):61-66. |
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| 作者姓名： | 袁进 |
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| 作者单位： | 西北大学数学系 |
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| 摘 要： | 本文借助于Ｔｈｕｅ－Ｓｉｅｇｅｌ－Ｒｏｔｈ定理的Ｐ－ａｄｉｃ类似，Ｐ－ａｄｉｃ代数数的有理逼近定理以及Ｐ－ａｄｉｃ简单连分数的一些性质给出了Ｐ－ａｄｉｃ数是超越数的两个充分条件。
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| 关 键 词： | P－adic数 超越数 连分数 逼近定理 有理逼近 |
THE TRANSCENDENTAL CONTINUED FRACTIONS OF P-ADIC NUMBERS |
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| Yuan Jin Mathematics.THE TRANSCENDENTAL CONTINUED FRACTIONS OF P-ADIC NUMBERS[J].Pure and Applied Mathematics,1993,9(2):61-66. |
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| Authors: | Yuan Jin Mathematics |
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| Institution: | Yuan Jin Mathematics Department of the Northwest University |
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| Abstract: | The purpose of this paper is to give two sufficient conditions for certainP-adic transcendental numbers by using the P-adic generalization of the Thue--Siegel-Roth Theorem, an approximation Theorem for P-adic algebraic numbers, and the someproperties of P-adic simple continued fraction. |
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| Keywords: | P-adic Numbers Transcendental Numbers Continued Fraction |
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