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A note on exponential divisors and related arithmetic functions.

About 5 pages (1,551 words)

Scientia Magna, January 1st, 2005

[section] 1. Introduction Let n > 1 be a positive integer, and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] its prime factorization. A number d | n is called an Exponential divisor (or e-divisor, for short) of n if [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] with [b.sub.i] | [a.sub.i] (i = [bar.1, r]). This notion has been introduced by E.G. Straus and M.V. Subbarao[1]. Let [[sigma].sub.e](n), resp. [d.sub.e](n) denote the sum, resp. number of e-divisors of n, and let [[sigma].sub.e](1) = [d.sub.e](1) = 1, by convention. A number n is called e-perfect, if [[sigma].sub.4]e(n) = ...

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Sandor, Jozsef. Scientia Magna, January 1st, 2005. A note on exponential divisors and related arithmetic functions.. Content provided by HighBeam Research.

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