List questions from diophantine-approximation

Published on 26 Mar 2026 - 4:51

382

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355/113 and small odd cubes

Published on 07 Feb 2021 - 6:42

51

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How are almost integers of the form $(n^2-1)\pi$ related to convergents?

Published on 23 Feb 2021 - 11:10

136

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Finding an integer vector perpendicular to a rational vector/solving a Diophantine equation with constraints.

Published on 25 Mar 2021 - 23:35

48

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Chromatic polynomial of the cross-polytope and denominators of convergents to e.

Published on 26 Mar 2026 - 22:18

183

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Does $\min |{\cos(n)}|$ exist?

Published on 02 Apr 2021 - 14:41

74

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Pseudo-lonely runner conjecture with $\frac{1}{k+1}$ and generalizations

Published on 28 Apr 2021 - 2:56

93

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What did Thue prove when, concerning rational approximations?

Published on 03 May 2021 - 0:57

59

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How to approxmate a real number by a sum of two real with integer weights?

Published on 13 May 2021 - 10:18

39

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Measure or irrationality and discriminant

Published on 29 Jun 2021 - 13:02

152

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A Gap in the Proof of the Duffin-Schaeffer's theorem

Published on 03 Jul 2021 - 2:45

1.4k

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Does there exist $\ n,m\in\mathbb{N}\ $ such that $\ \left\lvert \left(\frac{3}{2}\right)^n - 2^m \right\rvert < \frac{1}{4}\ $?

Published on 03 Aug 2021 - 17:00

142

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Finding the square root of a polynomial with radical

Published on 08 Sep 2021 - 1:45

222

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Best rational approximations to a ratio of three numbers $x:y:z$

Published on 11 Sep 2021 - 4:43

219

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The lower bound of $|3^p - 2^q|$ - how to derive from Baker's theorem?

Published on 16 Sep 2021 - 5:05

List Question

Effective equidistribution for number with bounded irrationality measure

355/113 and small odd cubes

How are almost integers of the form $(n^2-1)\pi$ related to convergents?

Finding an integer vector perpendicular to a rational vector/solving a Diophantine equation with constraints.

Chromatic polynomial of the cross-polytope and denominators of convergents to e.

Does $\min |{\cos(n)}|$ exist?

Pseudo-lonely runner conjecture with $\frac{1}{k+1}$ and generalizations

What did Thue prove when, concerning rational approximations?

How to approxmate a real number by a sum of two real with integer weights?

Measure or irrationality and discriminant

A Gap in the Proof of the Duffin-Schaeffer's theorem

Does there exist $\ n,m\in\mathbb{N}\ $ such that $\ \left\lvert \left(\frac{3}{2}\right)^n - 2^m \right\rvert < \frac{1}{4}\ $?

Finding the square root of a polynomial with radical

Best rational approximations to a ratio of three numbers $x:y:z$

The lower bound of $|3^p - 2^q|$ - how to derive from Baker's theorem?

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