Smarandache function


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Smarandache function

[‚smär·ən′dä·chē ‚fənk·shən]
(mathematics)
A function η defined on the integers with the property that η(n) is the smallest integer m such that m ! is divisible by n.
References in periodicals archive ?
Ashbacher, An introduction to the Smarandache function, Erhus Univ.
The pseudo Smarandache function, Z(n), introduced by Kashihara [1], is as follows:
For any positive integer n, the Smarandache function S(n) can be defined as follows: S(n) is the smallest number, such that S(n)
This paper as a note of Gou Su's work, we consider the hybrid mean value properties of the Smarandache kn-digital sequence and Smarandache function S(n), which is defined as the smallest positive integer m such that n|m
5] Du Fengying, On a conjecture of the Smarandache function S(n), 23(2007), No.
Since then, the pseudo Smarandache function has seen several generalizations in different directions.
1] Wenpeng Zhang and Ling Li, Two problems related to the Smarandache function, Scientia Magna, Vol.
9] Xu Zhefeng, The value distribution property of the Smarandache function, Acta Mathematica Sinica, Chinese Series, Vol.
one obtains the Smarandache function S(n), and its dual S*(n), given by
Sandor, On certain generalizations of the Smarandache function, Smarandache Notions Journal, 11(2000), No.
Mark, NLPatrick, Bounding the Smarandache function, Smarandache Notions Journal, 13(2002), 37-42.
4] Xu Zhefeng, On the value distribution of the Smarandache function, Acta Mathematics Sinks (in Chinese), 49(2006), No.