Question

If a number can be expressed as sum of $2$ squares then every factor it can be expressed as sum of two squares

score 75 · Answer 1 · 2020-10-03 09:47:25

75

Views

If a number can be expressed as sum of $2$ squares then every factor it can be expressed as sum of two squares

Published on 03 Oct 2020 - 9:47

score 327 · Answer 2 · 2020-10-14 17:23:11

327

Views

Elementary Inequality regarding Sum of Squares

Published on 14 Oct 2020 - 17:23

score 87 · Answer 3 · 2020-11-07 19:56:11

87

Views

Can any of sum of squares be realized as a sum of this specific form?

Published on 07 Nov 2020 - 19:56

score 48 · Answer 4 · 2020-11-08 07:25:29

48

Views

Expression of sum of squares as a sum of a specific form

Published on 08 Nov 2020 - 7:25

score 43 · Answer 5 · 2020-11-09 17:11:33

43

Views

infinte sums, inequalities, optimal rate.

Published on 09 Nov 2020 - 17:11

score 197 · Answer 6 · 2020-11-16 22:53:29

197

Views

Sum of two squares theorem

Published on 16 Nov 2020 - 22:53

score 123 · Answer 7 · 2020-11-19 06:25:04

123

Views

If $a \in \Bbb Z$ is the sum of two squares then $a$ can't be written in which of the following forms?

Published on 19 Nov 2020 - 6:25

score 86 · Answer 8 · 2026-03-28 16:28:26

86

Views

How many zeros does $x^2 + y^2 \pmod d$ have on $[0, d-1]^2$?

Published on 28 Mar 2026 - 16:28

score 339 · Answer 9 · 2020-12-07 09:16:20

339

Views

p congruent to 1 mod 4 is a sum of square

Published on 07 Dec 2020 - 9:16

score 110 · Answer 10 · 2020-12-11 00:51:16

110

Views

Prove that the prime factors $p$ of $n=x^2+y^2$ of the form $p=4m+3$ can only have even exponents.

Published on 11 Dec 2020 - 0:51

score 223 · Answer 11 · 2020-12-15 21:34:00

223

Views

If n and m are sums of two squares so is $\frac{n}{m}$

Published on 15 Dec 2020 - 21:34

score 274 · Answer 12 · 2020-12-16 03:32:28

274

Views

When a number $N$ is expressible as a sum of two squares in EXACTLY three ways

Published on 16 Dec 2020 - 3:32

score 49 · Answer 13 · 2020-12-28 10:50:49

49

Views

Number theory problem with sets of elements - $x = (1 + 3 + \dots + m)p + (m + 2) + (m + 4) + \dots + n$

Published on 28 Dec 2020 - 10:50

score 66 · Answer 14 · 2021-01-08 07:15:36

66

Views

How to prove $2a^4+2b^4 \geq c^2(2a^2+2b^2-c^2)$ for any positive $a$, $b$ and $c$?

Published on 08 Jan 2021 - 7:15

score 87 · Answer 15 · 2021-01-21 09:54:51

87

Views

Can two distinct sets of N numbers between -1 and 1 have the same sum and sum of squares?

Published on 21 Jan 2021 - 9:54

List Question

If a number can be expressed as sum of $2$ squares then every factor it can be expressed as sum of two squares

Elementary Inequality regarding Sum of Squares

Can any of sum of squares be realized as a sum of this specific form?

Expression of sum of squares as a sum of a specific form

infinte sums, inequalities, optimal rate.

Sum of two squares theorem

If $a \in \Bbb Z$ is the sum of two squares then $a$ can't be written in which of the following forms?

How many zeros does $x^2 + y^2 \pmod d$ have on $[0, d-1]^2$?

p congruent to 1 mod 4 is a sum of square

Prove that the prime factors $p$ of $n=x^2+y^2$ of the form $p=4m+3$ can only have even exponents.

If n and m are sums of two squares so is $\frac{n}{m}$

When a number $N$ is expressible as a sum of two squares in EXACTLY three ways

Number theory problem with sets of elements - $x = (1 + 3 + \dots + m)p + (m + 2) + (m + 4) + \dots + n$

How to prove $2a^4+2b^4 \geq c^2(2a^2+2b^2-c^2)$ for any positive $a$, $b$ and $c$?

Can two distinct sets of N numbers between -1 and 1 have the same sum and sum of squares?

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