Question

Proof of Hurwitz theorem.

score 390 · Answer 1 · 2026-04-08 19:26:39

390

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Proof of Hurwitz theorem.

Published on 08 Apr 2026 - 19:26

score 196 · Answer 2 · 2026-04-13 23:54:50

196

Views

Divergence of $\sum_n e^{n(\sin n -1)}$

Published on 13 Apr 2026 - 23:54

score 338 · Answer 3 · 2026-04-08 19:01:48

338

Views

Effective equidistribution

Published on 08 Apr 2026 - 19:01

score 106 · Answer 4 · 2026-04-16 17:29:18

106

Views

Finite amount of pairs (p,q) problem with $ \mid\sqrt{2}-\frac{p}{q}\mid\leq\frac{1}{q^{3}} $

Published on 16 Apr 2026 - 17:29

score 487 · Answer 5 · 2026-04-11 18:20:45

487

Views

Making Dirichlet's approximation theorem constructive via continued fractions

Published on 11 Apr 2026 - 18:20

score 75 · Answer 6 · 2026-04-08 16:47:10

75

Views

How fast do the denominators in Dirichlets approximation for irrationals grow?

Published on 08 Apr 2026 - 16:47

score 58 · Answer 7 · 2026-04-17 07:48:18

58

Views

Evaluating $\liminf_{p,q\in\mathbb{Z},q\to\infty}\left(q^{\mu(\varrho)}\left|\varrho-\frac{p}{q}\right|\right)$

Published on 17 Apr 2026 - 7:48

score 112 · Answer 8 · 2026-04-17 14:41:38

112

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find $a,b,c$ such that $ \big| a + b\sqrt{2}+ c\sqrt{3} \big| <10^{-3} $

Published on 17 Apr 2026 - 14:41

score 256 · Answer 9 · 2026-04-15 19:22:12

256

Views

Line through the origin mod $1$ visits every sub-cube in $\mathbb{R}^n$.

Published on 15 Apr 2026 - 19:22

score 186 · Answer 10 · 2026-04-16 19:05:23

186

Views

Rational Approximation Theorem

Published on 16 Apr 2026 - 19:05

score 432 · Answer 11 · 2026-04-17 08:19:39

432

Views

Solutions to the diophantine equation $x^n-2y^n=1$. Can the sum of the first $n$ squares be a perfect power?

Published on 17 Apr 2026 - 8:19

score 17.2k · Answer 12 · 2026-04-16 13:50:07

17.2k

Views

How to find $\sum_{i=1}^n\left\lfloor i\sqrt{2}\right\rfloor$ A001951 A Beatty sequence: a(n) = floor(n*sqrt(2)).

Published on 16 Apr 2026 - 13:50

score 756 · Answer 13 · 2026-04-15 20:28:41

756

Views

Prove the inequality $\left|\frac{m}{n}-\frac{1+\sqrt{5}}{2}\right|<\frac{1}{mn}$

Published on 15 Apr 2026 - 20:28

score 184 · Answer 14 · 2026-04-16 07:25:57

184

Views

Find a rational number $p/q$ that approximates $\sqrt{2}$ in both $\mathbb{R}$ and $\mathbb{Q}_7$

Published on 16 Apr 2026 - 7:25

score 351 · Answer 15 · 2026-04-13 16:22:00

351

Views

Why does the continued fraction of Champerowne's number have so large entries?

Published on 13 Apr 2026 - 16:22

List Question

Proof of Hurwitz theorem.

Divergence of $\sum_n e^{n(\sin n -1)}$

Effective equidistribution

Finite amount of pairs (p,q) problem with $ \mid\sqrt{2}-\frac{p}{q}\mid\leq\frac{1}{q^{3}} $

Making Dirichlet's approximation theorem constructive via continued fractions

How fast do the denominators in Dirichlets approximation for irrationals grow?

Evaluating $\liminf_{p,q\in\mathbb{Z},q\to\infty}\left(q^{\mu(\varrho)}\left|\varrho-\frac{p}{q}\right|\right)$

find $a,b,c$ such that $ \big| a + b\sqrt{2}+ c\sqrt{3} \big| <10^{-3} $

Line through the origin mod $1$ visits every sub-cube in $\mathbb{R}^n$.

Rational Approximation Theorem

Solutions to the diophantine equation $x^n-2y^n=1$. Can the sum of the first $n$ squares be a perfect power?

How to find $\sum_{i=1}^n\left\lfloor i\sqrt{2}\right\rfloor$ A001951 A Beatty sequence: a(n) = floor(n*sqrt(2)).

Prove the inequality $\left|\frac{m}{n}-\frac{1+\sqrt{5}}{2}\right|<\frac{1}{mn}$

Find a rational number $p/q$ that approximates $\sqrt{2}$ in both $\mathbb{R}$ and $\mathbb{Q}_7$

Why does the continued fraction of Champerowne's number have so large entries?

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