List questions from diophantine-approximation

Published on 25 Mar 2026 - 9:28

191

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Does $\sum_{k=1}^n|\cot \sqrt2\pi k|$ tends to $An\ln n$ as $n\to\infty$?

Published on 22 Mar 2026 - 10:11

205

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if $(\{n\alpha\}-c)(\{n\beta\}-c)\ge 0,\forall n\in N^{+}$ then have $\{\alpha\}=\{\beta\}$?

Published on 14 Mar 2026 - 3:42

222

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LLL for quadratic forms

Published on 14 Mar 2026 - 3:47

29

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Comparing two rational approximation of the same minimum

Published on 25 Mar 2026 - 7:47

348

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How to prove $\left|\sqrt{2} - \frac{m}{n}\right| > \frac{1}{3n^2}$ inductively?

Published on 13 Mar 2026 - 21:58

140

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Effective equidistribution inequality for $\sqrt{2}$

Published on 25 Mar 2026 - 7:41

33

Views

Growth rate in the "infinitely many" of a diophantine approximation problem

Published on 13 Mar 2026 - 21:48

71

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Is the set of eventually recurrent continued fraction expansions closed under multiplication by positive integers?

Published on 14 Mar 2026 - 15:01

153

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Do there exist numbers with non-integer irrationality measure?

Published on 25 Mar 2026 - 3:01

118

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Diophantine approximation and Farey sequences

Published on 23 Mar 2026 - 5:27

150

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Minkowski difference in a pseudo-AP

Published on 25 Mar 2026 - 0:27

366

Views

Rational approximation of multiple irrationals

Published on 14 Mar 2026 - 14:15

30

Views

About bad approximations of a $d$-uplet $(\theta_1, \dots, \theta_d)$

Published on 14 Mar 2026 - 5:28

46

Views

(Order of) multiplicity of primefactor 2 in the integers near $N$'th root of $2^S$?

Published on 14 Mar 2026 - 12:48

List Question

Convergence of $\sum_{n=1}^\infty\frac{\cot \varphi\pi n}{n^s}$

Does $\sum_{k=1}^n|\cot \sqrt2\pi k|$ tends to $An\ln n$ as $n\to\infty$?

if $(\{n\alpha\}-c)(\{n\beta\}-c)\ge 0,\forall n\in N^{+}$ then have $\{\alpha\}=\{\beta\}$?

LLL for quadratic forms

Comparing two rational approximation of the same minimum

How to prove $\left|\sqrt{2} - \frac{m}{n}\right| > \frac{1}{3n^2}$ inductively?

Effective equidistribution inequality for $\sqrt{2}$

Growth rate in the "infinitely many" of a diophantine approximation problem

Is the set of eventually recurrent continued fraction expansions closed under multiplication by positive integers?

Do there exist numbers with non-integer irrationality measure?

Diophantine approximation and Farey sequences

Minkowski difference in a pseudo-AP

Rational approximation of multiple irrationals

About bad approximations of a $d$-uplet $(\theta_1, \dots, \theta_d)$

(Order of) multiplicity of primefactor 2 in the integers near $N$'th root of $2^S$?

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