[2B0]Note that Hurwitz’s theorem [ 31 ] states that for every irrational number \(𝜉\) there are infinitely many coprime integers \(m, n∈ℤ\) such that
\[ \left|𝜉 -{\frac{m}{n}}\right|{\lt}{\frac{1}{{\sqrt{5}}\, n^{2}}}. \]
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Authors:
"Mennucci , Andrea C. G."
.
Bibliography
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- [45] to3em. Hurwitz’s theorem (number theory) — Wikipedia, the free encyclopedia, 2022. URL https://en.wikipedia.org/w/index.php?title=Hurwitz's_theorem_(number_theory)&oldid=1116947319. [Online; accessed 30-novembre-2022].
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- real numbers
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