List questions from diophantine-approximation

Published on 12 Apr 2026 - 14:39

288

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Siegel's Lemma for two solutions

Published on 15 Apr 2026 - 6:16

89

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Numerators of close rational approximations to $\pi$

Published on 11 Apr 2026 - 18:33

109

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Diophantine approximations with the same denominator for a set of numbers

Published on 14 Apr 2026 - 16:35

251

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Does $2764976 + 3734045\,\sqrt[3]{7} -2707603\,\sqrt[3]{7^2} = 0$?

Published on 15 Apr 2026 - 19:27

367

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Approximation of integer by multiple of irrational number

Published on 12 Apr 2026 - 5:27

284

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Rational approximation using only odd numerators.

Published on 14 Apr 2026 - 2:41

239

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Proving $\left|\sqrt2-(a/b)\right|\geq1/(3b^2)$

Published on 17 Apr 2026 - 15:05

67

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Asymptotic Behaviour of Rational Approximations of an Irrational Real Number

Published on 13 Apr 2026 - 17:17

185

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Problem on density of set generated by irrational number

Published on 14 Apr 2026 - 8:49

138

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How to prove that $[2^n \sqrt{2}],[2^{n+1} \sqrt{2}],\ldots, [2^{2n} \sqrt{2}]$ contains at least one even numbers for every integer $n\ge 1$?

Published on 16 Apr 2026 - 3:17

73

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Irrationality measure of the number is itself

Published on 13 Apr 2026 - 0:29

187

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Estimate number of solutions in the Roth's theorem

Published on 14 Apr 2026 - 18:37

334

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Finding an equivalent gap between fence boards for different length sections.

Published on 10 Apr 2026 - 17:56

94

Views

Quantitative linear independence of algebraic numbers - a poor man's version.

Published on 16 Apr 2026 - 3:55

List Question

Show that $\inf \{ m+n\omega: m+n\omega>0,and,m,n\in{Z}\}= 0$, where $\omega>0 $ is irrational.

Siegel's Lemma for two solutions

Numerators of close rational approximations to $\pi$

Diophantine approximations with the same denominator for a set of numbers

Does $2764976 + 3734045\,\sqrt[3]{7} -2707603\,\sqrt[3]{7^2} = 0$?

Approximation of integer by multiple of irrational number

Rational approximation using only odd numerators.

Proving $\left|\sqrt2-(a/b)\right|\geq1/(3b^2)$

Asymptotic Behaviour of Rational Approximations of an Irrational Real Number

Problem on density of set generated by irrational number

How to prove that $[2^n \sqrt{2}],[2^{n+1} \sqrt{2}],\ldots, [2^{2n} \sqrt{2}]$ contains at least one even numbers for every integer $n\ge 1$?

Irrationality measure of the number is itself

Estimate number of solutions in the Roth's theorem

Finding an equivalent gap between fence boards for different length sections.

Quantitative linear independence of algebraic numbers - a poor man's version.

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