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noun
The mathematical theorem which states that, for given odd prime numbers p and q, the question of whether p is a square modulo q is equivalent to the question of whether q is a square modulo p.
Definition source: English Wiktionary via Wiktextract
Usage: uncountable
Topics: mathematics, number-theory, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
History
The theorem highlights a particular form of reciprocity in the solvability of the quadratic equation a2 = b in modular arithmetic. It was conjectured by Leonhard Euler and Adrien-Marie Legendre and first proved by Carl Friedrich Gauss.
