数论函数f(n)=n+[k/n]的最小值和最小值点

The Minimum and Minimal Points of Arithmetical Function f(n)=n+[k/n]

以[x]表不小于x的最小整数,设函数f(n)=n+[k/n],其中k为给定正整数,自变量n在正整数集取值。本文指出函数f(n)在整个定义域上的最小值和全部最小值点。

By [x] we denote the least integer not less than x,et f (n) =n+[k/n]be a function of n with domain of set of positiveintegers, where k is a given positive integer. In this paper, the minimum and the all minimal points of f(n) are given.