Question

How to show a quadratic polynomial with complex roots has solutions mod $p$?

score 47 · Answer 1 · 2026-03-25 14:32:23

47

Views

How to show a quadratic polynomial with complex roots has solutions mod $p$?

Published on 25 Mar 2026 - 14:32

score 25 · Answer 2 · 2024-01-15 12:04:11

25

Views

Proof that Legendre symbol is multiplicative

Published on 15 Jan 2024 - 12:04

score 28 · Answer 3 · 2024-01-25 10:48:12

28

Views

Smallest element §a§ such that Jacobisymbol $(a, n) = -1$.

Published on 25 Jan 2024 - 10:48

score 87 · Answer 4 · 2024-01-31 14:56:55

87

Views

quartic residue symbol

Published on 31 Jan 2024 - 14:56

score 60 · Answer 5 · 2024-02-01 08:57:45

60

Views

$-1$ as quadratic residue in $p$-adic rings

Published on 01 Feb 2024 - 8:57

score 38 · Answer 6 · 2024-02-29 23:44:45

38

Views

When is $(m+1)/2$ a quadratic residue mod $m$?

Published on 29 Feb 2024 - 23:44

score 40 · Answer 7 · 2024-03-06 00:07:47

40

Views

Strategies for Proving a Summation Formula Involving Quadratic Residues Modulo Prime Numbers

Published on 06 Mar 2024 - 0:07

score 91 · Answer 8 · 2024-03-09 03:37:25

91

Views

prove for Jacobi symbols $\sum_{k=0}^{500}(\frac{k}{1001}) = 0$

Published on 09 Mar 2024 - 3:37

score 11 · Answer 9 · 2026-03-24 10:14:41

11

Views

Notation for modular in proof that $n$ is a perfect square iff jacobisymbol $J(a,n)\neq -1$ for all $a$

Published on 24 Mar 2026 - 10:14

score 27 · Answer 10 · 2024-03-11 19:15:36

27

Views

Congruences of partitions and Legendre symbol.

Published on 11 Mar 2024 - 19:15

score 104 · Answer 11 · 2024-03-14 19:21:15

104

Views

Prove that if $p \equiv 7 \pmod{8}$, the solutions to the congruence $x^2-34x+1 \equiv 0 \pmod{p}$ are both quadratic residues modulo p.

Published on 14 Mar 2024 - 19:21

score 29 · Answer 12 · 2024-03-14 23:09:37

29

Views

Do we need relative prime in the definition of a quadratic residue?

Published on 14 Mar 2024 - 23:09

score 47 · Answer 13 · 2024-03-18 23:05:25

47

Views

How to find all $p$ congruences such that $(\frac{-5}{p})$ are quadratic residues

Published on 18 Mar 2024 - 23:05

score 67 · Answer 14 · 2024-03-21 02:48:07

67

Views

Number of Solutions to $y^2 \equiv x^2 + 1 \pmod{p}$

Published on 21 Mar 2024 - 2:48

score 20 · Answer 15 · 2024-03-21 03:49:05

Show $\sum_{k=0}^{p-1} \left(\frac{k^2+1}{p}\right) = \sum_{t=0}^{p-1} \left(1 + \left(\frac{t}{p}\right)\right)\left(\frac{t+1}{p}\right)$

List Question

How to show a quadratic polynomial with complex roots has solutions mod $p$?

Proof that Legendre symbol is multiplicative

Smallest element §a§ such that Jacobisymbol $(a, n) = -1$.

quartic residue symbol

$-1$ as quadratic residue in $p$-adic rings

When is $(m+1)/2$ a quadratic residue mod $m$?

Strategies for Proving a Summation Formula Involving Quadratic Residues Modulo Prime Numbers

prove for Jacobi symbols $\sum_{k=0}^{500}(\frac{k}{1001}) = 0$

Notation for modular in proof that $n$ is a perfect square iff jacobisymbol $J(a,n)\neq -1$ for all $a$

Congruences of partitions and Legendre symbol.

Prove that if $p \equiv 7 \pmod{8}$, the solutions to the congruence $x^2-34x+1 \equiv 0 \pmod{p}$ are both quadratic residues modulo p.

Do we need relative prime in the definition of a quadratic residue?

How to find all $p$ congruences such that $(\frac{-5}{p})$ are quadratic residues

Number of Solutions to $y^2 \equiv x^2 + 1 \pmod{p}$

Show $\sum_{k=0}^{p-1} \left(\frac{k^2+1}{p}\right) = \sum_{t=0}^{p-1} \left(1 + \left(\frac{t}{p}\right)\right)\left(\frac{t+1}{p}\right)$

Trending Questions

Popular # Hahtags

Popular Questions