Question

Prove that S consists of the quadratic residues mod (p) and T consists of the quadratic non-residues mod (p)

score 251 · Answer 1 · 2014-03-04 22:22:11

251

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Prove that S consists of the quadratic residues mod (p) and T consists of the quadratic non-residues mod (p)

Published on 04 Mar 2014 - 22:22

score 147 · Answer 2 · 2014-03-08 18:37:32

147

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Quadratic Reciprocity as a consequence of Eisenstein Reciprocity

Published on 08 Mar 2014 - 18:37

score 429 · Answer 3 · 2017-04-13 19:07:44

429

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If $p\mid (3^n+1)$, then $p\equiv 1\pmod{3}$

Published on 13 Apr 2017 - 19:07

score 187 · Answer 4 · 2017-04-17 20:50:01

187

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Reference request for text containing proof of quadratic reciprocity law over function fields

Published on 17 Apr 2017 - 20:50

score 82 · Answer 5 · 2017-04-20 16:52:12

82

Views

How can I prove that $\left( \frac{5}{p} \right) = 1$ given that $p \equiv 1 \pmod{5}$ (where $\left( \frac{p}{q} \right)$ is the Legendre symbol)?

Published on 20 Apr 2017 - 16:52

score 143 · Answer 6 · 2017-05-01 14:36:01

143

Views

What is wrong with my proof of the law of quadratic reciprocity for the Jacobi Symbol?

Published on 01 May 2017 - 14:36

score 67 · Answer 7 · 2017-05-04 20:39:18

67

Views

For which primes $p$ is $-3\in Q_p$?

Published on 04 May 2017 - 20:39

score 1.1k · Answer 8 · 2017-06-22 18:25:09

1.1k

Views

Quadratic residues in finite field

Published on 22 Jun 2017 - 18:25

score 154 · Answer 9 · 2026-02-23 04:38:32

154

Views

Legendre/Jacobi symbol, reciprocity laws etc.

Published on 23 Feb 2026 - 4:38

score 58 · Answer 10 · 2017-08-12 15:00:56

58

Views

how to determine $x^2 \equiv a \pmod m$ solvable if m,a not coprime

Published on 12 Aug 2017 - 15:00

score 857 · Answer 11 · 2017-08-20 19:29:59

857

Views

The set of odd primes p such that -5 is a quadratic residue mod p

Published on 20 Aug 2017 - 19:29

score 557 · Answer 12 · 2017-09-28 04:02:03

557

Views

Discovering Quadratic Reciprocity

Published on 28 Sep 2017 - 4:02

score 1.6k · Answer 13 · 2017-11-20 14:12:49

1.6k

Views

Zolotarev's Lemma and Quadratic Reciprocity

Published on 20 Nov 2017 - 14:12

score 715 · Answer 14 · 2017-12-08 03:46:56

715

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If $p$ and $q$ are primes of the form $4k+3$, and $x^2 \equiv p \pmod q$ has no solutions, show $x^2 \equiv q \pmod p$ has two incongruent solutions

Published on 08 Dec 2017 - 3:46

score 180 · Answer 15 · 2017-12-12 03:59:28

180

Views

How can we summarize Legendre symbol $(\frac{11}{p})$

Published on 12 Dec 2017 - 3:59

List Question

Prove that S consists of the quadratic residues mod (p) and T consists of the quadratic non-residues mod (p)

Quadratic Reciprocity as a consequence of Eisenstein Reciprocity

If $p\mid (3^n+1)$, then $p\equiv 1\pmod{3}$

Reference request for text containing proof of quadratic reciprocity law over function fields

How can I prove that $\left( \frac{5}{p} \right) = 1$ given that $p \equiv 1 \pmod{5}$ (where $\left( \frac{p}{q} \right)$ is the Legendre symbol)?

What is wrong with my proof of the law of quadratic reciprocity for the Jacobi Symbol?

For which primes $p$ is $-3\in Q_p$?

Quadratic residues in finite field

Legendre/Jacobi symbol, reciprocity laws etc.

how to determine $x^2 \equiv a \pmod m$ solvable if m,a not coprime

The set of odd primes p such that -5 is a quadratic residue mod p

Discovering Quadratic Reciprocity

Zolotarev's Lemma and Quadratic Reciprocity

If $p$ and $q$ are primes of the form $4k+3$, and $x^2 \equiv p \pmod q$ has no solutions, show $x^2 \equiv q \pmod p$ has two incongruent solutions

How can we summarize Legendre symbol $(\frac{11}{p})$

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