List questions from diophantine-approximation

Published on 25 Mar 2026 - 15:54

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How does the theory of Diophantine approximation change if we alter the set of numerators allowed?

Published on 10 Apr 2026 - 8:49

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What is known about the approximation constant?

Published on 09 Apr 2026 - 6:07

58

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What are some ways we measure irrationality?

Published on 09 Apr 2026 - 8:15

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Prerequisites for Diophantine Approximation

Published on 15 Apr 2026 - 20:07

114

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Prove there are finitely many pairs of integer x, y such that $|x-\sqrt{d}y|<\frac{1}{y^2}$

Published on 15 Apr 2026 - 20:28

210

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Some question about proving $\displaystyle\limsup_{n\to\infty}|\cos{n}|=1$ by using density of $\{a+b\pi|a,b\in\mathbb{Z}\}$

Published on 11 Apr 2026 - 22:54

75

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Another proof of $\displaystyle\limsup_{n\to\infty}|\cos{n}|=1$

Published on 12 Apr 2026 - 13:20

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Compute height of points of a jacobian variety using Mumford representation

Published on 13 Apr 2026 - 17:36

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Is the sequence $(B_n)_{n \in \Bbb{N}}$ unbounded, where $B_n := \sum_{k=1}^n\mathrm{sgn}(\sin(k))$?

Published on 17 Apr 2026 - 7:25

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Is $22/7$ the closest to $\pi$, among fractions of denominator at most $50$?

Published on 26 Mar 2026 - 0:54

192

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Why do all integer solutions of $\frac{157}{50}<\frac{p}{q}<\frac{22}{7}$ for $q>0$ have the form $p=157n_1+22n_2+179,q=50n_1+7n_2+57$?

Published on 15 Apr 2026 - 18:21

71

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Question on the property of algebraic number

Published on 15 Apr 2026 - 11:56

217

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sequence of diophantine approximants of $\pi$

Published on 11 Apr 2026 - 20:43

71

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Find the general solutions of $x^2+qy^2-z^2=4n$

Published on 14 Apr 2026 - 19:23

List Question

Concerning the fractional part function

How does the theory of Diophantine approximation change if we alter the set of numerators allowed?

What is known about the approximation constant?

What are some ways we measure irrationality?

Prerequisites for Diophantine Approximation

Prove there are finitely many pairs of integer x, y such that $|x-\sqrt{d}y|<\frac{1}{y^2}$

Some question about proving $\displaystyle\limsup_{n\to\infty}|\cos{n}|=1$ by using density of $\{a+b\pi|a,b\in\mathbb{Z}\}$

Another proof of $\displaystyle\limsup_{n\to\infty}|\cos{n}|=1$

Compute height of points of a jacobian variety using Mumford representation

Is the sequence $(B_n)_{n \in \Bbb{N}}$ unbounded, where $B_n := \sum_{k=1}^n\mathrm{sgn}(\sin(k))$?

Is $22/7$ the closest to $\pi$, among fractions of denominator at most $50$?

Why do all integer solutions of $\frac{157}{50}<\frac{p}{q}<\frac{22}{7}$ for $q>0$ have the form $p=157n_1+22n_2+179,q=50n_1+7n_2+57$?

Question on the property of algebraic number

sequence of diophantine approximants of $\pi$

Find the general solutions of $x^2+qy^2-z^2=4n$

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