Question

Given a quadratic form $q$, is there a value $L$ such that every interval with length $L$ contains some $q(x)$?

score 50 · Answer 1 · 2021-11-24 20:07:22

50

Views

Given a quadratic form $q$, is there a value $L$ such that every interval with length $L$ contains some $q(x)$?

Published on 24 Nov 2021 - 20:07

score 75 · Answer 2 · 2026-03-26 12:36:29

75

Views

On the SOS property of the graph Laplacian

Published on 26 Mar 2026 - 12:36

score 31 · Answer 3 · 2021-11-26 16:31:38

31

Views

Coset of principal genus vs. subgroup of squares

Published on 26 Nov 2021 - 16:31

score 394 · Answer 4 · 2021-11-27 02:40:55

394

Views

What conditions would make a system of two quadratic equations have one real solution?

Published on 27 Nov 2021 - 2:40

score 93 · Answer 5 · 2026-02-28 01:15:25

93

Views

Unimodular quadratic forms where all values are multiples of $m$

Published on 28 Feb 2026 - 1:15

score 72 · Answer 6 · 2026-03-26 10:45:16

72

Views

Gradient of $\sum_{i,j}^n A_{ij}x_i^TB^iC{B^j}^Tx_j$

Published on 26 Mar 2026 - 10:45

score 232 · Answer 7 · 2021-11-30 16:49:15

232

Views

Density of integers represented by a binary quadratic form is zero

Published on 30 Nov 2021 - 16:49

score 128 · Answer 8 · 2021-12-02 05:32:54

128

Views

Every nondegenerate quadratic form defined on a two dimensional space over a finite field is universal.

Published on 02 Dec 2021 - 5:32

score 59 · Answer 9 · 2021-12-03 00:46:48

59

Views

One orthogonal basis for different quadratic forms

Published on 03 Dec 2021 - 0:46

score 29 · Answer 10 · 2026-03-29 11:50:06

29

Views

Show that $M = \{(x,y) \in \mathbb{R}^p \times \mathbb{R}^q : \lvert x \rvert = \lvert y \rvert \neq 0 \}$ is connected for $p,q \geq 2$

Published on 29 Mar 2026 - 11:50

score 170 · Answer 11 · 2021-12-07 02:26:54

170

Views

Finding the vertex of an elliptic cone

Published on 07 Dec 2021 - 2:26

score 176 · Answer 12 · 2026-04-02 18:42:43

176

Views

Representations of a ternary quadratic form, modular forms of wheight 3/2 and Eisenstein series

Published on 02 Apr 2026 - 18:42

score 45 · Answer 13 · 2021-12-12 04:41:29

45

Views

Why is the number of negative dimensions of a quadratic form called "Inertia"?

Published on 12 Dec 2021 - 4:41

score 188 · Answer 14 · 2021-12-13 11:58:37

188

Views

How to prove there exist integer $u,v\in Z$,such $|f(u,v)|\le\sqrt{\frac{4D}{3}}$?

Published on 13 Dec 2021 - 11:58

score 13 · Answer 15 · 2026-02-28 01:15:25

13

Views

When dose two multivariate quadratic equations have nontrivial solutions?

Published on 28 Feb 2026 - 1:15

List Question

Given a quadratic form $q$, is there a value $L$ such that every interval with length $L$ contains some $q(x)$?

On the SOS property of the graph Laplacian

Coset of principal genus vs. subgroup of squares

What conditions would make a system of two quadratic equations have one real solution?

Unimodular quadratic forms where all values are multiples of $m$

Gradient of $\sum_{i,j}^n A_{ij}x_i^TB^iC{B^j}^Tx_j$

Density of integers represented by a binary quadratic form is zero

Every nondegenerate quadratic form defined on a two dimensional space over a finite field is universal.

One orthogonal basis for different quadratic forms

Show that $M = \{(x,y) \in \mathbb{R}^p \times \mathbb{R}^q : \lvert x \rvert = \lvert y \rvert \neq 0 \}$ is connected for $p,q \geq 2$

Finding the vertex of an elliptic cone

Representations of a ternary quadratic form, modular forms of wheight 3/2 and Eisenstein series

Why is the number of negative dimensions of a quadratic form called "Inertia"?

How to prove there exist integer $u,v\in Z$,such $|f(u,v)|\le\sqrt{\frac{4D}{3}}$?

When dose two multivariate quadratic equations have nontrivial solutions?

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