2010 Asia-Pacific Conference on Information Theory (APCIT 2010 E-BOOK)

Xi'an,China,10.1-10.2,2010

ISBN: 978-1-935068-47-1 Scientific Research Publishing, USA

E-Book 506pp Pub. Date: November 2010

Category: Computer Science & Communications

Price: $80

Title:	The Mean Value of a Hybrid Function
Source:	2010 Asia-Pacific Conference on Information Theory (APCIT 2010 E-BOOK) (pp 455-457)
Author(s):	Mingjun Wang, Department of Mathematics and Information Science, Weinan Teachers University, Weinan 714000, Shanxi China
Abstract:	Let p be a prime, Ep(n) denote the large exponent of power p which divides n . For any positive integer n ,α（n) denotes the largest k -th power less than or equal to n , and b(n) denotes the smallest k-th power greater than or equal to n .In this paper we use elementary method to study the asymptotic properties of ∑Ep(a(n))and∑Ep(b（n)) ,n≤χ,and two asymptotic formulas are obtained.

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