Question

Different definitions of "near integral points"

score 27 · Answer 1 · 2023-07-02 15:59:53

27

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Different definitions of "near integral points"

Published on 02 Jul 2023 - 15:59

score 63 · Answer 2 · 2023-07-08 10:32:36

63

Views

Structure of simultaneous diophantine approximation

Published on 08 Jul 2023 - 10:32

score 228 · Answer 3 · 2023-07-13 17:50:55

228

Views

For $ \{n\pmod{2 \pi}: n \in \{\ 0, 1, 2 ... 2^x\ \} \} $, is it possible to put a bound in terms of $x$ on the smallest difference between elements?

Published on 13 Jul 2023 - 17:50

score 35 · Answer 4 · 2023-07-31 22:30:06

35

Views

Understanding the Proof of Chapter 2, Theorem 8 of Lang's Book on Diophantine Approximations

Published on 31 Jul 2023 - 22:30

score 125 · Answer 5 · 2023-08-02 04:26:45

125

Views

Badly Approximable Numbers: Lower Bound for Sum of Reciprocals of Fractional Parts

Published on 02 Aug 2023 - 4:26

score 35 · Answer 6 · 2026-03-26 01:16:41

35

Views

Proof of the convergence part of Jarník's Theorem

Published on 26 Mar 2026 - 1:16

score 165 · Answer 7 · 2023-09-08 10:22:59

165

Views

$\alpha>0;\ a(n+1)\ $ is the least integer $>a(n)$ such that $\sum_{i=1}^{n+1} a(i) < \alpha.$

Published on 08 Sep 2023 - 10:22

score 27 · Answer 8 · 2023-09-09 12:26:03

27

Views

Extreme case bounds on Diophantine approximation

Published on 09 Sep 2023 - 12:26

score 131 · Answer 9 · 2023-09-26 10:24:01

131

Views

Conjecture similar to Dirichlet's approximation theorem but with prime numbers

Published on 26 Sep 2023 - 10:24

score 102 · Answer 10 · 2023-09-26 16:20:43

102

Views

Is there a notion of best $\mathbb{K}$-approximations where $\mathbb{K}$ is an algebraic number field?

Published on 26 Sep 2023 - 16:20

score 185 · Answer 11 · 2023-10-26 13:27:25

185

Views

Find all rational numbers $\frac{p}{q}$ such that $|\frac{p}{q}− \frac{17}{12}|< \frac{1}{q^2}$

Published on 26 Oct 2023 - 13:27

score 39 · Answer 12 · 2023-11-26 16:05:15

39

Views

Accumulation point in a topological group of orthogonal matrices over R

Published on 26 Nov 2023 - 16:05

score 59 · Answer 13 · 2023-12-03 14:09:26

59

Views

Finite set all bigger than 1, set of products are dense in some sense

Published on 03 Dec 2023 - 14:09

score 34 · Answer 14 · 2023-12-06 08:32:51

34

Views

Dirichlet’s approximation Theorem (Simultaneous version): In case Q is not interger

Published on 06 Dec 2023 - 8:32

score 207 · Answer 15 · 2026-02-23 13:03:12

207

Views

The house of an algebraic number

Published on 23 Feb 2026 - 13:03

List Question

Different definitions of "near integral points"

Structure of simultaneous diophantine approximation

For $ \{n\pmod{2 \pi}: n \in \{\ 0, 1, 2 ... 2^x\ \} \} $, is it possible to put a bound in terms of $x$ on the smallest difference between elements?

Understanding the Proof of Chapter 2, Theorem 8 of Lang's Book on Diophantine Approximations

Badly Approximable Numbers: Lower Bound for Sum of Reciprocals of Fractional Parts

Proof of the convergence part of Jarník's Theorem

$\alpha>0;\ a(n+1)\ $ is the least integer $>a(n)$ such that $\sum_{i=1}^{n+1} a(i) < \alpha.$

Extreme case bounds on Diophantine approximation

Conjecture similar to Dirichlet's approximation theorem but with prime numbers

Is there a notion of best $\mathbb{K}$-approximations where $\mathbb{K}$ is an algebraic number field?

Find all rational numbers $\frac{p}{q}$ such that $|\frac{p}{q}− \frac{17}{12}|< \frac{1}{q^2}$

Accumulation point in a topological group of orthogonal matrices over R

Finite set all bigger than 1, set of products are dense in some sense

Dirichlet’s approximation Theorem (Simultaneous version): In case Q is not interger

The house of an algebraic number

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