Categories
Tags
Quadratic-reciprocity
New post in Quadratic-reciprocity
Solve quadratic congruence using the Chinese Remainder Theorem
August 1st, 2022
quadratic-reciprocity
congruences
chinese-remainder-theorem
Legendre symbols (p/q) = (a/q)
August 1st, 2022
quadratic-reciprocity
Determine the number of solutions for quadratic equation modulo prime
January 7th, 2020
quadratic-reciprocity
modular-arithmetic
Find the value of the following Legendre Symbols and Use Gausslemma to compute each of the Legendre symbols below
August 1st, 2022
quadratic-residues
quadratic-reciprocity
number-theory
Suppose $p$ and $q$ are odd primes and $p = q + 4a$ for some $a$. Prove that $(\frac ap) = (\frac aq)$ holds.
August 1st, 2022
quadratic-reciprocity
elementary-number-theory
Find all primes $p > 11$ such that $11$ is a quadratic residue $\pmod p$.
April 2nd, 2020
quadratic-reciprocity
quadratic-residues
When computing the Legendre symbol $(\frac{3}{p})$, how to combine different congruences together into one statement?
March 29th, 2020
number-theory
quadratic-reciprocity
Determining prime numbers p which satisfy quadratic residues modulo p
August 1st, 2022
quadratic-residues
elementary-number-theory
quadratic-reciprocity
Let p be an odd prime, q the smallest quadratic non residue (mod p). Prove q is prime.
April 21st, 2020
quadratic-reciprocity
elementary-number-theory
prime-numbers
quadratic-residues
When is the quadratic congruence $ax^2 + bx +c \equiv 0 \pmod p$ solvable?
July 7th, 2020
quadratic-reciprocity
modular-arithmetic
Describe all odd primes p for which 7 is a quadratic residue
August 1st, 2022
congruences
legendre-symbol
quadratic-reciprocity
number-theory
Find the set of primes $p$ which $6$ is a quadratic residue $\mod p$
August 1st, 2022
quadratic-reciprocity
quadratic-residues
quadratic-forms
elementary-number-theory
Find all primes $p$ so that 3 is a quadratic nonresidue modulo $p$
August 1st, 2022
quadratic-reciprocity
quadratic-residues
elementary-number-theory
Show that a prime divisor to $x^4-x^2+1$ has to satisfy $p=1 \pmod{12}$
August 1st, 2022
quadratic-reciprocity
number-theory
Quadratic Reciprocity: Determine if 11 is a quadratic residue $\mod p $for primes of the form: 44k+5?
August 1st, 2022
quadratic-reciprocity
Proofs of the properties of Jacobi symbol
August 1st, 2022
quadratic-reciprocity
elementary-number-theory
If $p \equiv 1 \mod{4}$ is prime, how to find a quadratic nonresidue modulo $p$?
August 1st, 2022
elementary-number-theory
modular-arithmetic
quadratic-reciprocity
Determine all primes $p$ for which $5$ is a quadratic residue modulo $p$
June 20th, 2020
quadratic-residues
quadratic-reciprocity
elementary-number-theory
Conceptual Proof of Quadratic Reciprocity
August 1st, 2022
number-theory
quadratic-reciprocity
Number Theory: Solutions of $ax^2+by^2\equiv1 \pmod p$
August 1st, 2022
elementary-number-theory
congruences
number-theory
quadratic-reciprocity
elementary proof that infinite primes quadratic residue modulo $p$
April 11th, 2020
prime-numbers
number-theory
quadratic-reciprocity
elementary-number-theory
quadratic-residues
When is $2$ a quadratic residue mod $p$?
August 1st, 2022
quadratic-residues
number-theory
quadratic-reciprocity
elementary-number-theory
Primes of the form $p=a^2-2b^2$.
August 1st, 2022
prime-numbers
quadratic-reciprocity
elementary-number-theory
What is the point of quadratic residues?
August 1st, 2022
quadratic-residues
quadratic-reciprocity
motivation
education
elementary-number-theory
Zolotarev's Lemma and Quadratic Reciprocity
August 1st, 2022
quadratic-reciprocity
number-theory
If $a$ is a quadratic residue modulo every prime $p$, it is a square - without using quadratic reciprocity.
August 1st, 2022
quadratic-reciprocity
elementary-number-theory
quadratic-residues
Explicit formula for Fermat's 4k+1 theorem
August 1st, 2022
number-theory
quadratic-reciprocity
Uses of quadratic reciprocity theorem
August 1st, 2022
number-theory
quadratic-reciprocity
motivation
applications
How does one see Hecke Operators as helping to generalize Quadratic Reciprocity?
May 10th, 2020
quadratic-reciprocity
intuition
number-theory
modular-forms