泛可除Bernoulli数Bn/n同余式的简化证明 |
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引用本文: | 任文丽.泛可除Bernoulli数Bn/n同余式的简化证明[J].四川轻化工学院学报,2008(5):3-4. |
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作者姓名: | 任文丽 |
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作者单位: | [1]德州学院数学系,山东德州253000 |
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摘 要: | 文章运用p-adic赋值理论给出了泛可除Bernoulli数Bn/n的系数τu的p-adic赋值的界,从而证明了泛Von Staudt定理中一个同余式的简化证明。
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关 键 词: | 泛可除Bernoulli数 p-adic赋值理论 泛von Staudt定理 |
Simple Proof of the Congruence of Universal Bernoulli Number Bn/n |
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Affiliation: | REI Wen-li (Department of Mathematics,Dezhou University,Dezhou 253000,China) |
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Abstract: | This paper applies the p-adic valuations of the coefficients of universal divided Bernoulli number Bn/n when n is divisible by p-1, and gives a simple proof of the congruence of universal Bernoulli number Bn/n. |
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Keywords: | universal divided Bernoulli number p-adic valuation universal von Staudt theorem |
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