作者LimSinE (r=e^theta)
看板IMO_Taiwan
标题Re: [问题] Number Theory
时间Sat Jun 29 01:16:47 2013
找到一篇论文...
On a sum involving powers of reciprocals of
an arithmetical progression
http://www.kurims.kyoto-u.ac.jp/EMIS/journals/AMI/2007/ami2007-belbachir.pdf
他其实说下面这个题目的每一项都分别给一个次方，那加起来还是不会是整数。
用的方法其实就是传统证1+1/2+...+1/n非整数的方法
只是他现在有一个很厉害的 Theorem 1.4
这我又再去查一下就资讯爆炸了...
※ 引述《darkseer (进入无限期公假)》之铭言：
: This problem is from AoPS.
: http://www.artofproblemsolving.com/Forum/viewtopic.php?t=26137
: n, a, and b are natural numbers. Prove that:
: 1 1 1
: --- + --- + ... + ---- isn't natural.
: a a+b a+nb
: By being natural, we mean that number is a positive integer.
: Your English may not be as poor as mine, but it takes me 5 mins to
: understand it orz...
--
r=e^theta
即使有改变，我始终如一。
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