Some identities involving the Smarandache ceil function

For any fixed positive integer n, the Smarandache ceil function of order k is denoted by N* [arrow right] N and has the following definition: S^sub k^(n) = min{x ∈ N : n | x^sup k^} (∀n ∈ N*) . In this paper, we use the elementary methods to study the arithmetical properties of S^sub k^(n), and give...

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Bibliographic Details
Published in:Scientia magna 2006-01, Vol.2 (1), p.45-49
Main Author: Yongxing, Wang
Format: Article
Language:English
Subjects:
Arithmetic
Functional equations
Functions
Theorems
Online Access:Get full text
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Summary:For any fixed positive integer n, the Smarandache ceil function of order k is denoted by N* [arrow right] N and has the following definition: S^sub k^(n) = min{x ∈ N : n | x^sup k^} (∀n ∈ N*) . In this paper, we use the elementary methods to study the arithmetical properties of S^sub k^(n), and give some identities involving the Smarandache ceil function. [PUBLICATION ABSTRACT]
ISSN:1556-6706