List questions from quadratic-reciprocity

Published on 13 Feb 2023 - 15:15

70

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Show that $z^2$ is a fourth power mod $q$ if and only if $\left(\frac{z}{q}\right) = 1$, given that $q \equiv 1 \pmod{4}$.

Published on 28 Apr 2023 - 21:02

47

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Intuition behind Eisenstein's proof of quadratic reciprocity using a function of a complex variable

Published on 09 Jul 2023 - 20:33

81

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prime divisors of number of the form $32z^4+1$

Published on 18 Jul 2023 - 13:17

58

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Stuck in a quadratic reciprocity problem

Published on 01 Aug 2023 - 17:41

36

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Determining which primes satisfy a set of quadratic divisibility conditions

Published on 11 Sep 2023 - 14:15

49

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Conceptual explanation for extra/missing $p$ solutions to $x^2+y^2=a \pmod p$ at $a=0$

Published on 08 Nov 2023 - 6:48

46

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

Published on 26 Dec 2023 - 6:00

74

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How to prove the roots of $ax^2 + bx + a$ are reciprocals of each other?

Published on 02 Jan 2024 - 9:02

106

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Quadratic Reciprocity

Published on 03 Feb 2015 - 22:59

83

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For which n does a quadratic congruence have solutions e.g $x^2=83 (modn) $

Published on 21 Feb 2015 - 21:53

575

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Evaluating quadratic residue $(6/p) $

Published on 23 Feb 2015 - 14:06

47

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Averages of $L(1,\chi)$

Published on 24 Feb 2015 - 18:50

60

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For which primes $p$ does $x^2\equiv3\pmod{p}$ have a solution?

Published on 26 Feb 2015 - 17:18

961

Views

A conjecture about quadratic residues given $p \equiv 5 \pmod 8$

Published on 15 Mar 2015 - 1:43

List Question

Generalized Pépin-Test (Problem understanding a paper)

Show that $z^2$ is a fourth power mod $q$ if and only if $\left(\frac{z}{q}\right) = 1$, given that $q \equiv 1 \pmod{4}$.

Intuition behind Eisenstein's proof of quadratic reciprocity using a function of a complex variable

prime divisors of number of the form $32z^4+1$

Stuck in a quadratic reciprocity problem

Determining which primes satisfy a set of quadratic divisibility conditions

Conceptual explanation for extra/missing $p$ solutions to $x^2+y^2=a \pmod p$ at $a=0$

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

How to prove the roots of $ax^2 + bx + a$ are reciprocals of each other?

Quadratic Reciprocity

For which n does a quadratic congruence have solutions e.g $x^2=83 (modn) $

Evaluating quadratic residue $(6/p) $

Averages of $L(1,\chi)$

For which primes $p$ does $x^2\equiv3\pmod{p}$ have a solution?

A conjecture about quadratic residues given $p \equiv 5 \pmod 8$

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