3. Euler made the following conjecture: Let a be any natural mumber and p, q primes such that p= ±q mod 4a. Then a is a square mod p if and only of a is a square mod q. Use this conjecture to give a proof of Law of Quadratic Reciprocity.
3. Euler made the following conjecture: Let a be any natural mumber and p, q primes such that p= ±q mod 4a. Then a is a square mod p if and only of a is a square mod q. Use this conjecture to give a proof of Law of Quadratic Reciprocity.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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