List questions from integer-lattices

Published on 25 Mar 2026 - 10:53

151

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Is the area of a convex set approximated by the number of its lattice points, in the following sense?

Published on 16 Sep 2016 - 22:39

83

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Every nonzero vector in $\mathbb{R}^n$ can be scaled to be arbitrarily close to $\mathbb{Z}^n-\{0\}$.

Published on 19 Sep 2016 - 14:13

81

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Is the sum of i.i.d. discrete Gaussian rv still distributed as a discrete Gaussian?

Published on 25 Mar 2026 - 10:57

553

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A lattice subgroup in $\Bbb R^n$ is discrete

Published on 24 Sep 2016 - 10:02

63

Views

Is there a relation between Elliptic Curves and Frobenius Numbers?

Published on 25 Mar 2026 - 4:00

216

Views

Is there a "nice" function with zeros at lattice points in $\Bbb C$?

Published on 03 Oct 2016 - 7:38

47

Views

Does a continuous, bounded, lattice-valued correspondence have a continuous least upper bound?

Published on 06 Oct 2016 - 20:31

54

Views

Lattice vector size reduction

Published on 26 Oct 2016 - 13:27

433

Views

Why Hardy-Littlewood method is called circle method?

Published on 12 Nov 2016 - 8:12

369

Views

(Integer) Lattices: Proving Hadamard result $det(L) = \prod_{i=1}^n ||b_i||$ if and only if $B$ is a basis of $L$ and an orthogonal basis of $V$

Published on 14 Nov 2016 - 11:59

226

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Counting problems on lattices

Published on 16 Nov 2016 - 18:14

566

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show that $SL(2, \mathbb{Z}) \backslash SL(2, \mathbb{R})$ is not compact

Published on 19 Nov 2016 - 5:20

233

Views

Eisenstein series for hexagonal lattice

Published on 09 Dec 2016 - 18:47

804

Views

Geometric reason why even unimodular positive definite lattices exist only in dimensions divisible by $8$

Published on 14 Dec 2016 - 8:46

List Question

16-cell honeycomb (4D cross-polytope tesselation)

Is the area of a convex set approximated by the number of its lattice points, in the following sense?

Every nonzero vector in $\mathbb{R}^n$ can be scaled to be arbitrarily close to $\mathbb{Z}^n-\{0\}$.

Is the sum of i.i.d. discrete Gaussian rv still distributed as a discrete Gaussian?

A lattice subgroup in $\Bbb R^n$ is discrete

Is there a relation between Elliptic Curves and Frobenius Numbers?

Is there a "nice" function with zeros at lattice points in $\Bbb C$?

Does a continuous, bounded, lattice-valued correspondence have a continuous least upper bound?

Lattice vector size reduction

Why Hardy-Littlewood method is called circle method?

(Integer) Lattices: Proving Hadamard result $det(L) = \prod_{i=1}^n ||b_i||$ if and only if $B$ is a basis of $L$ and an orthogonal basis of $V$

Counting problems on lattices

show that $SL(2, \mathbb{Z}) \backslash SL(2, \mathbb{R})$ is not compact

Eisenstein series for hexagonal lattice

Geometric reason why even unimodular positive definite lattices exist only in dimensions divisible by $8$

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