Question

Question about the divisibility of a sum

score 245 · Answer 1 · 2023-06-06 09:15:44

245

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Question about the divisibility of a sum

Published on 06 Jun 2023 - 9:15

score 117 · Answer 2 · 2023-06-08 08:22:16

117

Views

Formula for finding sum of three squares that equal a fourth square

Published on 08 Jun 2023 - 8:22

score 52 · Answer 3 · 2023-06-10 06:59:03

52

Views

Number of ways to represent an integer $n$ in a finite field $\mathbb F_{p^m}$ as a sum of two squares

Published on 10 Jun 2023 - 6:59

score 50 · Answer 4 · 2023-06-20 22:21:21

50

Views

Do eight-square representations have patterns like four-square representations?

Published on 20 Jun 2023 - 22:21

score 95 · Answer 5 · 2023-06-23 11:42:28

95

Views

If $m$ is an odd number whose prime factors are all $\equiv 1\pmod{4}$, then $m=a^2+b^2$, where $\gcd(a,b)=1$.

Published on 23 Jun 2023 - 11:42

score 104 · Answer 6 · 2023-07-04 20:22:54

104

Views

Are there ways to generate alternative representations of a number as the sum of three squares?

Published on 04 Jul 2023 - 20:22

score 88 · Answer 7 · 2026-03-28 01:07:20

88

Views

Is a non-negative quadratic polynomial always a sum of squares?

Published on 28 Mar 2026 - 1:07

score 317 · Answer 8 · 2026-03-25 07:48:42

317

Views

Numbers with a unique partition as a sum of two squares

Published on 25 Mar 2026 - 7:48

score 63 · Answer 9 · 2023-07-21 11:06:32

63

Views

The maximum weight in a weighted sum of Fibonacci squares representation of a positive integer

Published on 21 Jul 2023 - 11:06

score 45 · Answer 10 · 2023-07-25 16:41:05

45

Views

Which are all polynomials in $\mathbb{F}_p[x]$ which are a sum of two squares?

Published on 25 Jul 2023 - 16:41

score 173 · Answer 11 · 2026-02-23 12:06:37

173

Views

Sequences $(a_n)$ such that $i^2+j^2=k^2+\ell^2\Longrightarrow a_i+a_j=a_k+a_{\ell}$

Published on 23 Feb 2026 - 12:06

score 3.5k · Answer 12 · 2023-07-27 18:08:45

3.5k

Views

Algebraically why must a single square root be done on all terms rather than individually?

Published on 27 Jul 2023 - 18:08

score 47 · Answer 13 · 2023-08-02 10:19:52

47

Views

Sums of squares of relatively prime natural numbers

Published on 02 Aug 2023 - 10:19

score 45 · Answer 14 · 2023-08-06 12:02:02

45

Views

On Cauchy's lemma and Lagrange four squares representation

Published on 06 Aug 2023 - 12:02

score 73 · Answer 15 · 2023-08-06 14:13:38

73

Views

How to prove $\frac{\sqrt{ab+bc+ca}}{2}\ge\frac{a^3(b+c)+b^3(c+a)+c^3(a+b)}{(a^2+b^2+c^2)(a+b+c)-2abc}.$?

Published on 06 Aug 2023 - 14:13

List Question

Question about the divisibility of a sum

Formula for finding sum of three squares that equal a fourth square

Number of ways to represent an integer $n$ in a finite field $\mathbb F_{p^m}$ as a sum of two squares

Do eight-square representations have patterns like four-square representations?

If $m$ is an odd number whose prime factors are all $\equiv 1\pmod{4}$, then $m=a^2+b^2$, where $\gcd(a,b)=1$.

Are there ways to generate alternative representations of a number as the sum of three squares?

Is a non-negative quadratic polynomial always a sum of squares?

Numbers with a unique partition as a sum of two squares

The maximum weight in a weighted sum of Fibonacci squares representation of a positive integer

Which are all polynomials in $\mathbb{F}_p[x]$ which are a sum of two squares?

Sequences $(a_n)$ such that $i^2+j^2=k^2+\ell^2\Longrightarrow a_i+a_j=a_k+a_{\ell}$

Algebraically why must a single square root be done on all terms rather than individually?

Sums of squares of relatively prime natural numbers

On Cauchy's lemma and Lagrange four squares representation

How to prove $\frac{\sqrt{ab+bc+ca}}{2}\ge\frac{a^3(b+c)+b^3(c+a)+c^3(a+b)}{(a^2+b^2+c^2)(a+b+c)-2abc}.$?

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