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Sep
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asked Choosing $15$ out of $100$ whole numbers with difference of any $2$ divisible by $7$
Aug
28
accepted The limit of $\frac{|A_n|}{n^2}$
Aug
28
asked Fixed point of matrix
Aug
28
accepted Definition of parabolic matrix.
Aug
28
asked Definition of parabolic matrix.
Aug
28
revised The limit of $\frac{|A_n|}{n^2}$
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Aug
28
comment The limit of $\frac{|A_n|}{n^2}$
How can I explain the existence of limit witout actually try and compute it?
Aug
28
comment The limit of $\frac{|A_n|}{n^2}$
But, why the limit do exist?
Aug
28
comment On proving the convergence of $1/n^2\sum_{1\le k\le n}\varphi(k)$
Yes, also $\sum_{n\leq x}\phi(n)=\frac{3}{\pi^{2}}x^{2}+O\left(x\log x\right)$, but I can't prove these.
Aug
28
comment On proving the convergence of $1/n^2\sum_{1\le k\le n}\varphi(k)$
+1, A question: May I say that the existence of that limit deduced only from your question(stated in my own words): For two "random" integers $a$ and $b$, what is the probability that they have no common factor?