Remarks on the proof of reciprocity law for quadratic remainders
نویسندگان
چکیده
منابع مشابه
A Shortened Classical Proof of the Quadratic Reciprocity Law
We present a short and conceptual proof of Gauss’ quadratic reciprocity law. It is an optimized version of V.A. Lebesgue’s 1838 proof computing the number of solutions to x1 + x 2 2 + · · · + xp ≡ 1 mod q. Let p, q be distinct odd prime numbers. The law of quadratic reciprocity states that ( p q )( q p ) = (−1) p−1 2 q−1 2 , where ( · · ) is the Legendre symbol. In 1838, V.A. Lebesgue gave a pr...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky a fysiky
سال: 1933
ISSN: 1802-114X
DOI: 10.21136/cpmf.1933.121189