List questions from diophantine-approximation

Published on 05 May 2026 - 0:05

81

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Real part of complex root of $X^5-X-k^5+k+1$ is $\frac{1}{23k}$ away from any integer ($k\geq 2$)

Published on 03 May 2026 - 10:23

116

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Fractional part of rational powers

Published on 05 May 2026 - 8:15

561

Views

Dirichlet's approximation theorem

Published on 28 Apr 2026 - 14:33

416

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Can interesting bounds to Gauss circle problem be seen/come from counting points close to a line?

Published on 05 May 2026 - 6:21

408

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Lagrange spectrum in diophantine approximation theory

Published on 04 May 2026 - 2:14

200

Views

Dirichlet's Approximation Theorem for integer

Published on 01 May 2026 - 7:48

427

Views

Diophantine condition of irrational numbers

Published on 05 May 2026 - 0:15

531

Views

Continued fraction rate of convergence

Published on 05 May 2026 - 3:41

65

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Determine all limits of subsequences of $|\lambda \alpha^n +\mu \bar{\alpha}^n|$ (assume $|\alpha|>1$)

Published on 05 May 2026 - 4:15

198

Views

exponentiating the natural numbers

Published on 29 Apr 2026 - 12:51

116

Views

Inequality with sum involving minimums

Published on 10 May 2026 - 12:32

1.6k

Views

Does the sequence $n+\tan(n), n \in\mathbb{N}$ have a lower bound?

Published on 10 May 2026 - 12:32

88

Views

Is $n^p +\tan n,p>0$ always no no lower bound?

Published on 29 Apr 2026 - 12:52

127

Views

Evaluation of infinite series of ratios (with denominators given as finite products) in terms of rational numbers and $\pi\sqrt3$

Published on 10 May 2026 - 12:35

List Question

Find $\frac{a}{b} \in \mathbb{Q}$ such that $ |\,\frac{a}{b} - \sqrt{2}|_3 < \epsilon $

Real part of complex root of $X^5-X-k^5+k+1$ is $\frac{1}{23k}$ away from any integer ($k\geq 2$)

Fractional part of rational powers

Dirichlet's approximation theorem

Can interesting bounds to Gauss circle problem be seen/come from counting points close to a line?

Lagrange spectrum in diophantine approximation theory

Dirichlet's Approximation Theorem for integer

Diophantine condition of irrational numbers

Continued fraction rate of convergence

Determine all limits of subsequences of $|\lambda \alpha^n +\mu \bar{\alpha}^n|$ (assume $|\alpha|>1$)

exponentiating the natural numbers

Inequality with sum involving minimums

Does the sequence $n+\tan(n), n \in\mathbb{N}$ have a lower bound?

Is $n^p +\tan n,p>0$ always no no lower bound?

Evaluation of infinite series of ratios (with denominators given as finite products) in terms of rational numbers and $\pi\sqrt3$

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