List questions from polynomial-congruences

Published on 12 Mar 2018 - 21:27

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Lagrange Theorem Application in Number Theory

Published on 15 Mar 2018 - 14:16

100

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Prove that $a^2,a^4,...,a^{p-1}$ are the quadratic residues modulo $p$.

Published on 07 Apr 2018 - 6:33

103

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Congruence modulo ($2^{10}$)

Published on 17 May 2018 - 20:33

617

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Solve $x^2 -3x+2 \equiv 0 \pmod 6$

Published on 21 Jun 2018 - 21:13

158

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Congruent solution implies an integer solution.

Published on 26 Jul 2018 - 21:01

326

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For $f(x)=0 \mod n$ with $n=2 \mod 4$ has solution congruence classes as $2^{k-1}$ for $k$ is number distinct prime dividing $n$

Published on 05 Sep 2018 - 15:08

544

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Elementary Number Theory - Determining if there exist roots for a polynomial congruence with a prime modulus

Published on 10 Nov 2018 - 10:26

137

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How to do congruence-class arithmetic?

Published on 09 Dec 2018 - 21:21

46

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A non-trivial solution for $\lambda_1 + 2 \lambda_2 + \cdots + (p-2)\lambda_{p-2} = 0$ in $\mathbb{Z}_p$

Published on 01 Jun 2019 - 14:36

256

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Implication of theorem about congruence modulo p(x)

Published on 02 Jun 2019 - 0:52

57

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Confusion about why the reduction of non-linear congruence seems to require only a single choice of prime power $p_i^{k_i}$

Published on 11 Aug 2019 - 12:11

97

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Prove that $F(x)=(x^2-17)(x^2-19)(x^2-323)\equiv 0 \pmod{p^j}$ is solvable for all $p$ prime and $j\in\mathbb{N}$

Published on 21 Oct 2019 - 2:47

148

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How to solve a non-linear system of modulus equations?

Published on 30 Oct 2019 - 13:54

120

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Two polynomials congruence modulo $p$

Published on 01 Jan 2020 - 8:30

List Question

Elementary Number Theory: Cubic Congruences

Lagrange Theorem Application in Number Theory

Prove that $a^2,a^4,...,a^{p-1}$ are the quadratic residues modulo $p$.

Congruence modulo ($2^{10}$)

Solve $x^2 -3x+2 \equiv 0 \pmod 6$

Congruent solution implies an integer solution.

For $f(x)=0 \mod n$ with $n=2 \mod 4$ has solution congruence classes as $2^{k-1}$ for $k$ is number distinct prime dividing $n$

Elementary Number Theory - Determining if there exist roots for a polynomial congruence with a prime modulus

How to do congruence-class arithmetic?

A non-trivial solution for $\lambda_1 + 2 \lambda_2 + \cdots + (p-2)\lambda_{p-2} = 0$ in $\mathbb{Z}_p$

Implication of theorem about congruence modulo p(x)

Confusion about why the reduction of non-linear congruence seems to require only a single choice of prime power $p_i^{k_i}$

Prove that $F(x)=(x^2-17)(x^2-19)(x^2-323)\equiv 0 \pmod{p^j}$ is solvable for all $p$ prime and $j\in\mathbb{N}$

How to solve a non-linear system of modulus equations?

Two polynomials congruence modulo $p$

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