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文[1]作者介绍了等幂和的一些背景与结果,特别介绍了紧密联系数论的一些结果.文[2]利用贝努里不等式及数学归纳法证明了关于等幂和的一个猜想.即对于任意的λ∈N*,则有n~(λ+1)/λ+1<1~λ+2~λ+…+n~λ<(n+1)~(λ+1)/λ+1.文[3]作者采用定积分估计的方法重新证明了上述不等式.本文通过等幂和的一个等式证明并改进了上述不等式的右边,并且也给出了等幂和的一个下
In [1], the author introduces some background and result of equal power sum, especially introducing some results of the close connection number theory. [2] This paper proves a conjecture on equal power sum using Bernoulli inequality and mathematical induction. For any λ∈N *, n ~ (λ + 1) / λ + 1 <1 ~ λ + 2 ~ λ + ... + n ~ λ <(n + 1) ~ (λ + 1) / λ + 1. Wen [3] The author re-proved the above inequality using the method of definite integral estimation. This paper proves and improves on the right side of the above inequality by an equation of equal power sum,