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題 名 | Some Mobius-Type Functions and Inversions Constructed Via Difference Operators |
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作 者 | Hsu,L. C.; Wang,Jun; | 書刊名 | Tamkang Journal of Mathematics |
卷 期 | 29:2 民87.夏 |
頁 次 | 頁89-99 |
分類號 | 313.6 |
關鍵詞 | 數論; Difference operator; Hyper-real field; Dirichlet convolution; Subindex law; General Mobius inversion; |
語 文 | 英文(English) |
英文摘要 | It is shown that some difference operators and their inverses, defined on the hyper-real field *R, can be used to generate a pair of reciprocal relations that implies both the Mobius inversion formulae and the fundamental theorem of calculus as special consequences. As suggested by the form for the Mobius function of integral order, some explicitly constructive extensions of Mobius-type functions are presented; and accordingly, certain general Mobius-type inversion pairs are obtained in a natrural way. |
本系統中英文摘要資訊取自各篇刊載內容。