quadratic reciprocity
The mathematical theorem which states that, for given odd prime numbers p and q, the…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.
Meaning
1 senses(uncountable)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.
Origin
The theorem highlights a particular form of reciprocity in the solvability of the quadratiThe 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.
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Word family
1 related wordsLessons for this word
1 lessons- A1Countable and uncountable nouns — Because it can be uncountable
See also
neighbours in the dictionaryDictionary text adapted from Wiktionary (Wiktionary contributors, CC BY-SA 4.0) and Open English WordNet / Princeton WordNet (CC BY 4.0, WordNet License); shared under CC BY-SA 4.0. Example sentences and recordings are credited where they appear.