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- W2382181079 abstract "For any positive integer n, we define two new arithmetical functions f(n) and its dual function ■(n) as f(1) =f~-(n) = 1. If n1 and n =P_1~(α1) P_2~(α2)…P_k~(αk)be the factorization of n into prime powers, then we define f(n)=max(α1,α2,…,αk) and ■(n) = min(α1,α2,…,αk). The main purpose of this paper is using the elementary and analytic methods to study the arithmetical properties of these two arithmetical functions, and give two interesting mean value formulas for them." @default.
- W2382181079 created "2016-06-24" @default.
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- W2382181079 date "2008-01-01" @default.
- W2382181079 modified "2023-09-26" @default.
- W2382181079 title "Two new arithmetical functions and their mean values" @default.
- W2382181079 hasPublicationYear "2008" @default.
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