Question

Bound on the number of bounded primitive $k$-tuple for all unimodular lattices

score 68 · Answer 1 · 2026-02-23 03:29:31

68

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Bound on the number of bounded primitive $k$-tuple for all unimodular lattices

Published on 23 Feb 2026 - 3:29

score 160 · Answer 2 · 2022-10-28 16:16:53

160

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Prove that if $A$ has integer entries, $|\det A| = 1$, then the polyhedron formed by $A$ does not contain integer points.

Published on 28 Oct 2022 - 16:16

score 46 · Answer 3 · 2022-11-01 21:25:42

46

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Lattice basis for lattice consisting of the set of integer solutions of $a_1 x_1 + \dots + a_1 x_n = 0 \pmod q$

Published on 01 Nov 2022 - 21:25

score 88 · Answer 4 · 2022-11-06 14:08:07

88

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Eisenstein series of this lattice

Published on 06 Nov 2022 - 14:08

score 121 · Answer 5 · 2022-11-07 06:20:42

121

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What is the sum $\sum_{(m, n)\in\mathbb{Z}\\(m,n)\neq(0,0)}\frac{1}{(m+in)^\alpha}$ equal to?

Published on 07 Nov 2022 - 6:20

score 15 · Answer 6 · 2022-11-09 08:15:12

15

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Checking decomposability of a definite unimodular lattice / symmetric bilinear form

Published on 09 Nov 2022 - 8:15

score 110 · Answer 7 · 2026-03-30 05:23:32

110

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Intersecting a lattice with a linear subspace.

Published on 30 Mar 2026 - 5:23

score 74 · Answer 8 · 2022-11-15 17:33:21

74

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Estimating number of lattice points on a hyperbola

Published on 15 Nov 2022 - 17:33

score 62 · Answer 9 · 2026-02-23 03:26:45

62

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Upper Bound on the shortest non-zero non-negative vector in an integer lattice

Published on 23 Feb 2026 - 3:26

score 26 · Answer 10 · 2026-03-25 23:37:08

26

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Number of elements in $\text{SL}(d,\mathbb Z)$ with bounded $2$-norm

Published on 25 Mar 2026 - 23:37

score 54 · Answer 11 · 2026-03-28 00:48:36

54

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Standard reference for a fundamental theorem on classification of root lattices

Published on 28 Mar 2026 - 0:48

score 34 · Answer 12 · 2022-11-24 10:56:01

34

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generator of the lattice $L\subset \Bbb{C}$

Published on 24 Nov 2022 - 10:56

score 28 · Answer 13 · 2022-11-26 21:27:56

28

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Are these two conditions always equivalent for the lattice $\mathbb Z^d$ for any property (P)?

Published on 26 Nov 2022 - 21:27

score 94 · Answer 14 · 2022-12-01 22:46:13

Given a basis set of a lattice and the normalized shortest vector of this lattice, can we solve SVP efficiently (i.e. in poly time)?

score 163 · Answer 15 · 2022-12-05 12:20:22

163

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Blichfeldt vs Minkowski Theorems (Mathematics of Lattices)

Published on 05 Dec 2022 - 12:20

List Question

Bound on the number of bounded primitive $k$-tuple for all unimodular lattices

Prove that if $A$ has integer entries, $|\det A| = 1$, then the polyhedron formed by $A$ does not contain integer points.

Lattice basis for lattice consisting of the set of integer solutions of $a_1 x_1 + \dots + a_1 x_n = 0 \pmod q$

Eisenstein series of this lattice

What is the sum $\sum_{(m, n)\in\mathbb{Z}\\(m,n)\neq(0,0)}\frac{1}{(m+in)^\alpha}$ equal to?

Checking decomposability of a definite unimodular lattice / symmetric bilinear form

Intersecting a lattice with a linear subspace.

Estimating number of lattice points on a hyperbola

Upper Bound on the shortest non-zero non-negative vector in an integer lattice

Number of elements in $\text{SL}(d,\mathbb Z)$ with bounded $2$-norm

Standard reference for a fundamental theorem on classification of root lattices

generator of the lattice $L\subset \Bbb{C}$

Are these two conditions always equivalent for the lattice $\mathbb Z^d$ for any property (P)?

Given a basis set of a lattice and the normalized shortest vector of this lattice, can we solve SVP efficiently (i.e. in poly time)?

Blichfeldt vs Minkowski Theorems (Mathematics of Lattices)

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