Question

Proof of Hurwitz theorem.

score 387 · Answer 1 · 2016-09-20 16:22:03

387

Views

Proof of Hurwitz theorem.

Published on 20 Sep 2016 - 16:22

score 193 · Answer 2 · 2016-09-26 19:25:39

193

Views

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

Published on 26 Sep 2016 - 19:25

score 335 · Answer 3 · 2016-10-02 00:11:09

335

Views

Effective equidistribution

Published on 02 Oct 2016 - 0:11

score 103 · Answer 4 · 2016-10-12 19:28:03

103

Views

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

Published on 12 Oct 2016 - 19:28

score 484 · Answer 5 · 2016-10-21 20:13:55

484

Views

Making Dirichlet's approximation theorem constructive via continued fractions

Published on 21 Oct 2016 - 20:13

score 72 · Answer 6 · 2016-10-29 17:06:50

72

Views

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

Published on 29 Oct 2016 - 17:06

score 55 · Answer 7 · 2016-11-06 22:34:24

55

Views

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

Published on 06 Nov 2016 - 22:34

score 109 · Answer 8 · 2016-11-15 17:20:29

109

Views

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

Published on 15 Nov 2016 - 17:20

score 253 · Answer 9 · 2016-11-23 19:19:43

253

Views

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

Published on 23 Nov 2016 - 19:19

score 181 · Answer 10 · 2016-11-29 06:26:01

181

Views

Rational Approximation Theorem

Published on 29 Nov 2016 - 6:26

score 427 · Answer 11 · 2016-12-04 05:00:34

427

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 04 Dec 2016 - 5:00

score 17.2k · Answer 12 · 2016-12-10 06:20:28

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 10 Dec 2016 - 6:20

score 753 · Answer 13 · 2016-12-14 03:46:51

753

Views

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

Published on 14 Dec 2016 - 3:46

score 182 · Answer 14 · 2017-01-01 00:51:38

182

Views

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

Published on 01 Jan 2017 - 0:51

score 348 · Answer 15 · 2017-01-14 18:01:35

348

Views

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

Published on 14 Jan 2017 - 18:01

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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