journal6 ›› 2005, Vol. 26 ›› Issue (4): 76-78.
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This work is supported by the Province Education Commission Science Foundation of Shaanxi(04JK301)
Abstract: Let n be any postive integer,ak(n) denotes the integer part of k-th root of n.Let p be a prime,ep(n) denotes the largest exponent of power p which divides n.The main purpose of this paper is to study the mean value properties of ep(ak(n)) and give an interesting asymptotic formula for it.
Key words: K-th root, largest exponent, asymptotic formula
GAO Li, QI Lan, ZHAO Yuan-E. An Arithmetic Function and the K-th Roots of a Postive Integers[J]. journal6, 2005, 26(4): 76-78.
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https://zkxb.jsu.edu.cn/EN/Y2005/V26/I4/76