Jinping Ma
Abstract
For any positive integer n,let S(n) denote the Smarandache function,and L(n) be the least common multiple of all positive integers not exceeding n.The mean value property of S(L(n)) is studied,and an interesting asymptotic formula for its mean value is obtained.
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For any positive integer n,let S(n) denote the Smarandache function,and L(n) be the least common multiple of all positive integers not exceeding n.The mean value property of S(L(n)) is studied,and an interesting asymptotic formula for its mean value is obtained.
Key concepts: Mathematics, Integer (computer science), Value (mathematics), Mean value, Combinatorics, Asymptotic formula, Function (biology), Statistics