List questions from legendre-symbol

Published on 25 Mar 2026 - 21:57

1k

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Computing Legendre symbol value using quadratic reciprocity

Published on 18 Apr 2013 - 11:32

4.3k

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Fast legendre symbol calculation

Published on 19 Jul 2013 - 15:23

183

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Jacobi symbol $\left(\frac{(n+1)/2}{n}\right)$

Published on 26 Mar 2026 - 1:34

88

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Gauss sum variation $\sum_{n=0}^{p-1}\left(\frac{a+bn}{p}\right)\zeta_p^{cn} = ?$

Published on 25 Mar 2026 - 19:06

397

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Non-positivity of partial sums of certain Legendre symbols

Published on 02 May 2017 - 14:11

719

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Sums of Legendre symbols

Published on 03 May 2017 - 15:15

754

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How to prove this formula for the Legendre symbol for a finite field

Published on 10 May 2017 - 15:10

68

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A peculiar trigonometric sums with squares and Legendre symbols

Published on 16 May 2017 - 18:02

1.2k

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Does the Legendre Symbol/quadratic reciprocity generalize to higher degrees?

Published on 02 Jun 2017 - 18:50

161

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Evaluate the Legendre Symbols (503/773)

Published on 11 Jun 2017 - 3:01

314

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Legendre symbol (39/p)

Published on 25 Mar 2026 - 20:15

285

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$q=2p+1$ and $p\equiv 3 \mod 4$. Show that $q|2^p-1$.

Published on 25 Jun 2017 - 15:20

254

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If $p=a^2+4b^2$ for some $a,b \in \mathbb{Z}$, then $a$ is quadratic residu modulo $p$?

Published on 25 Jun 2017 - 16:53

1.2k

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Prove that $-3$ is a quadratic residue mod an odd prime $>3$ if and only if $p$ is of the form of $6n+1$

Published on 01 Aug 2017 - 14:41

List Question

Legendre symbol $(-21/p)$

Computing Legendre symbol value using quadratic reciprocity

Fast legendre symbol calculation

Jacobi symbol $\left(\frac{(n+1)/2}{n}\right)$

Gauss sum variation $\sum_{n=0}^{p-1}\left(\frac{a+bn}{p}\right)\zeta_p^{cn} = ?$

Non-positivity of partial sums of certain Legendre symbols

Sums of Legendre symbols

How to prove this formula for the Legendre symbol for a finite field

A peculiar trigonometric sums with squares and Legendre symbols

Does the Legendre Symbol/quadratic reciprocity generalize to higher degrees?

Evaluate the Legendre Symbols (503/773)

Legendre symbol (39/p)

$q=2p+1$ and $p\equiv 3 \mod 4$. Show that $q|2^p-1$.

If $p=a^2+4b^2$ for some $a,b \in \mathbb{Z}$, then $a$ is quadratic residu modulo $p$?

Prove that $-3$ is a quadratic residue mod an odd prime $>3$ if and only if $p$ is of the form of $6n+1$

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