List questions from diophantine-approximation

Published on 19 Mar 2026 - 17:51

74

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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 20 Mar 2026 - 2:10

106

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Fractional part of rational powers

Published on 20 Mar 2026 - 13:49

556

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Dirichlet's approximation theorem

Published on 22 Mar 2026 - 12:08

409

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

Published on 20 Mar 2026 - 19:11

399

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Lagrange spectrum in diophantine approximation theory

Published on 20 Mar 2026 - 19:15

191

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Dirichlet's Approximation Theorem for integer

Published on 22 Mar 2026 - 12:08

422

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Diophantine condition of irrational numbers

Published on 20 Mar 2026 - 11:47

522

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Continued fraction rate of convergence

Published on 22 Mar 2026 - 9:39

56

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

Published on 24 Mar 2026 - 12:55

192

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exponentiating the natural numbers

Published on 20 Mar 2026 - 9:18

109

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Inequality with sum involving minimums

Published on 22 Mar 2026 - 23:01

1.6k

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

Published on 23 Mar 2026 - 9:44

82

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

Published on 22 Mar 2026 - 20:33

116

Views

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

Published on 17 Mar 2026 - 16:42

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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