Question

What is the reason for taking $\omega$ to be a primitive $q$-th root unity rather than taking any $q$-th root of unity?

score 61 · Answer 1 · 2026-03-25 10:52:42

61

Views

What is the reason for taking $\omega$ to be a primitive $q$-th root unity rather than taking any $q$-th root of unity?

Published on 25 Mar 2026 - 10:52

score 79 · Answer 2 · 2026-03-25 19:07:08

79

Views

Who was the first person to prove that only primes of the form $4k+1$ can evenly divide odd integers of the form $n^2+1$?

Published on 25 Mar 2026 - 19:07

score 581 · Answer 3 · 2026-03-25 10:52:30

581

Views

Visualizing quadratic residues and their structure

Published on 25 Mar 2026 - 10:52

score 63 · Answer 4 · 2019-02-16 23:00:44

63

Views

Understanding this proof regarding quadratic residues

Published on 16 Feb 2019 - 23:00

score 258 · Answer 5 · 2026-03-25 08:08:57

258

Views

Modular geometry: The parabolas of quadratic residues modulo $p$

Published on 25 Mar 2026 - 8:08

score 105 · Answer 6 · 2019-03-01 05:27:29

105

Views

Question about using sum of quadratic residue to count points on elliptic curve in Schoof's paper

Published on 01 Mar 2019 - 5:27

score 1.4k · Answer 7 · 2019-03-01 18:41:57

1.4k

Views

If $p$ is congruent to 1 mod 4 where $p$ is an odd prime, then $x^2$ congruent to -1 mod $p$ has 2 solutions.

Published on 01 Mar 2019 - 18:41

score 74 · Answer 8 · 2019-03-07 13:34:32

74

Views

Let $P=\{1,2,\cdots,p-1\}$, $P=S\cup T$, prove that $S$ is quadratic residues and $T$ is quadratic nonresidues.

Published on 07 Mar 2019 - 13:34

score 54 · Answer 9 · 2026-03-25 09:43:08

54

Views

The sum $\sum_{r=1}^{p-1} r(r|p)$ when $p$ is an odd prime of the form $4k+3$, $k\geq 1$.

Published on 25 Mar 2026 - 9:43

score 94 · Answer 10 · 2019-03-11 00:07:54

94

Views

Are there infinitely many finite fields of non-two prime order with consecutive quadratic residues?

Published on 11 Mar 2019 - 0:07

score 578 · Answer 11 · 2026-03-25 13:34:25

578

Views

Use primitive root to prove if $a^{\phi(m)/2}\equiv 1\pmod m$ then $a$ is a quadratic residue modulo $m$.

Published on 25 Mar 2026 - 13:34

score 53 · Answer 12 · 2026-03-19 16:01:03

53

Views

Quadratic and Cubic Fractional Residues

Published on 19 Mar 2026 - 16:01

score 823 · Answer 13 · 2019-03-21 01:28:26

823

Views

Prove that if $a^{(p-1)/2}\equiv 1 \pmod{p}$ then $a$ is a quadratic residue modulo $p$

Published on 21 Mar 2019 - 1:28

score 543 · Answer 14 · 2019-03-25 22:31:30

543

Views

Congruence about Fibonacci numbers

Published on 25 Mar 2019 - 22:31

score 103 · Answer 15 · 2019-03-26 13:55:25

103

Views

Prove this equation has no integer solutions: $x^p_{1}+x^p_{2}+\cdots+x^p_{n}+1=(x_{1}+x_{2}+\cdots+x_{n})^2$

Published on 26 Mar 2019 - 13:55

List Question

What is the reason for taking $\omega$ to be a primitive $q$-th root unity rather than taking any $q$-th root of unity?

Who was the first person to prove that only primes of the form $4k+1$ can evenly divide odd integers of the form $n^2+1$?

Visualizing quadratic residues and their structure

Understanding this proof regarding quadratic residues

Modular geometry: The parabolas of quadratic residues modulo $p$

Question about using sum of quadratic residue to count points on elliptic curve in Schoof's paper

If $p$ is congruent to 1 mod 4 where $p$ is an odd prime, then $x^2$ congruent to -1 mod $p$ has 2 solutions.

Let $P=\{1,2,\cdots,p-1\}$, $P=S\cup T$, prove that $S$ is quadratic residues and $T$ is quadratic nonresidues.

The sum $\sum_{r=1}^{p-1} r(r|p)$ when $p$ is an odd prime of the form $4k+3$, $k\geq 1$.

Are there infinitely many finite fields of non-two prime order with consecutive quadratic residues?

Use primitive root to prove if $a^{\phi(m)/2}\equiv 1\pmod m$ then $a$ is a quadratic residue modulo $m$.

Quadratic and Cubic Fractional Residues

Prove that if $a^{(p-1)/2}\equiv 1 \pmod{p}$ then $a$ is a quadratic residue modulo $p$

Congruence about Fibonacci numbers

Prove this equation has no integer solutions: $x^p_{1}+x^p_{2}+\cdots+x^p_{n}+1=(x_{1}+x_{2}+\cdots+x_{n})^2$

Trending Questions

Popular # Hahtags

Popular Questions