Question

Finding an integral basis for a lattice defined in terms of an equation modulo p

score 408 · Answer 1 · 2015-03-28 16:57:52

408

Views

Finding an integral basis for a lattice defined in terms of an equation modulo p

Published on 28 Mar 2015 - 16:57

score 89 · Answer 2 · 2015-04-12 22:45:15

89

Views

When does a real inverrtible matrix send a lattice in $\mathbb{R}^2$ to itself?

Published on 12 Apr 2015 - 22:45

score 148 · Answer 3 · 2015-04-13 00:08:11

148

Views

Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$

Published on 13 Apr 2015 - 0:08

score 45 · Answer 4 · 2015-04-15 19:16:37

45

Views

Is it true that for a lattice $L$, $\mathbb{R}L = \mathbb{R}^{n}$?

Published on 15 Apr 2015 - 19:16

score 40 · Answer 5 · 2015-04-16 02:05:04

40

Views

Prove that $a_{i,1}x_1 +a_{i,2}x_2 +···+a_{i,n}x_n ≤c_i, 1≤i≤n $ are all satisfied by a nonzero $n-tuple$ of integers.

Published on 16 Apr 2015 - 2:05

score 107 · Answer 6 · 2026-03-25 12:17:53

107

Views

What is the significance of $SL(2, \mathbb{R} / SL(2, \mathbb{Z}))$ in studying lattices in geometry of numbers?

Published on 25 Mar 2026 - 12:17

score 485 · Answer 7 · 2015-04-24 08:46:48

485

Views

Boundedness condition of Minkowski's Theorem

Published on 24 Apr 2015 - 8:46

score 233 · Answer 8 · 2026-03-26 22:51:34

233

Views

Which planar angles on an integer lattice are possible?

Published on 26 Mar 2026 - 22:51

score 490 · Answer 9 · 2015-05-03 16:56:13

490

Views

Volume of the lattice generated by an ideal

Published on 03 May 2015 - 16:56

score 191 · Answer 10 · 2015-05-04 02:41:57

191

Views

lattice walks with primes and composites

Published on 04 May 2015 - 2:41

score 136 · Answer 11 · 2015-05-05 13:45:32

136

Views

Possible areas within an integer grid

Published on 05 May 2015 - 13:45

score 451 · Answer 12 · 2015-05-12 00:24:34

451

Views

Determining if $\mathbb{Z}[a]$ is a discrete subring of $\mathbb{C}$.

Published on 12 May 2015 - 0:24

score 285 · Answer 13 · 2026-03-25 13:55:13

285

Views

Scale the distance of lattice points

Published on 25 Mar 2026 - 13:55

score 53 · Answer 14 · 2015-06-09 01:56:50

53

Views

Solve the indeterminate equation: $ad-bc=p$ for a prime integer $p$

Published on 09 Jun 2015 - 1:56

score 835 · Answer 15 · 2015-06-10 21:24:04

835

Views

Is $\mathbb{Z}[\sqrt{2}]$ a lattice?

Published on 10 Jun 2015 - 21:24

List Question

Finding an integral basis for a lattice defined in terms of an equation modulo p

When does a real inverrtible matrix send a lattice in $\mathbb{R}^2$ to itself?

Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$

Is it true that for a lattice $L$, $\mathbb{R}L = \mathbb{R}^{n}$?

Prove that $a_{i,1}x_1 +a_{i,2}x_2 +···+a_{i,n}x_n ≤c_i, 1≤i≤n $ are all satisfied by a nonzero $n-tuple$ of integers.

What is the significance of $SL(2, \mathbb{R} / SL(2, \mathbb{Z}))$ in studying lattices in geometry of numbers?

Boundedness condition of Minkowski's Theorem

Which planar angles on an integer lattice are possible?

Volume of the lattice generated by an ideal

lattice walks with primes and composites

Possible areas within an integer grid

Determining if $\mathbb{Z}[a]$ is a discrete subring of $\mathbb{C}$.

Scale the distance of lattice points

Solve the indeterminate equation: $ad-bc=p$ for a prime integer $p$

Is $\mathbb{Z}[\sqrt{2}]$ a lattice?

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