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An Arithmetical Function and the Divisor Product Sequences
Abstract:
Let n be any positive integer, Pd(n)denotes the produce of all positive divisors of n. Let p be a prime, ap(n)denotes the largest exponent (of power p) such that divisible by n. In this paper, we shall use the elementary methods to study the mean value properties of ap(Pd(n)), and give an interesting asymptotic formula for it.
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Periodical:
Advanced Materials Research (Volumes 524-527)
Pages:
3834-3837
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Online since:
May 2012
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© 2012 Trans Tech Publications Ltd. All Rights Reserved
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