An Explicit Formula of Subblock Occurrences for the p-Adic Expansion
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概要
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Let b(n,w) be the number of occurrences of subblock w in the p-adic expansion of n ∈ N and set B(N,w)=Σn=0Nb(n,w) for N ∈ N. Properties of the value of B(N,w) were investigated by Prodinger [8] (for p=2) and by Kirschenhofer [3] (for a general p). In this paper we give a simple representation of B(N,w) by means of previous result [5] on the explicit formula of generalized power and exponential sums of digital sums.
- 東北大学の論文
著者
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OKADA Tatsuya
Department of Mechanical Engineering, Faculty of Engineering, The University of Tokushima
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Okada Tatsuya
Department Of Mathematics School Of Medicine Fukushima Medical University
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Sekiguchi Takeshi
Information Science, Liberal Arts, Tohoku Gakuin University
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Shiota Yasunobu
Information Science, Liberal Arts, Tohoku Gakuin University
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Yasunobu Shiota
Information Science Tohoku Gakuin University
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Shiota Yasunobu
Information Science Liberal Arts Tohoku Gakuin University
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MURAMOTO Katsushi
Kawaijuku Educational Institution
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Takeshi Sekiguchi
Information Science Tohoku Gakuin University
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Sekiguchi Takeshi
Information Science Liberal Arts Tohoku Gakuin University
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