An infinite series involving the Smarandache power function SP

An infinite series involving the Smarandache power function SP

For any positive integer n, the Smarandache power function SP(n) is defined as the smallest positive integer m such that n|m^sup m^, where m and n have the same prime divisors. The main purpose of this paper is using the elementary methods to study the convergent properties of an infinite series inv...

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Veröffentlicht in:Scientia magna 2006-09, Vol.2 (3), p.109-112
1. Verfasser: Zhou, Huanqin
Format: Artikel
Sprache:eng
Schlagworte:
Functions, Zeta
Mathematics
Numbers, Natural
Power functions (Mathematics)
Series, Infinite
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Zusammenfassung:For any positive integer n, the Smarandache power function SP(n) is defined as the smallest positive integer m such that n|m^sup m^, where m and n have the same prime divisors. The main purpose of this paper is using the elementary methods to study the convergent properties of an infinite series involving the Smarandache power function SP(n), and give some interesting identities. [PUBLICATION ABSTRACT]
ISSN:1556-6706