About: Proofs of quadratic reciprocity

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In number theory, the law of quadratic reciprocity, like the Pythagorean theorem, has lent itself to an unusually large number of proofs. Several hundred proofs of the law of quadratic reciprocity have been published.

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rdfs:label	Proofs of quadratic reciprocity (en) 二次互反律的证明 (zh)
rdfs:comment	In number theory, the law of quadratic reciprocity, like the Pythagorean theorem, has lent itself to an unusually large number of proofs. Several hundred proofs of the law of quadratic reciprocity have been published. (en) 这个条目给出了二次互反律的证明。 (zh)
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dct:subject	Article proofs Algebraic number theory
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Link from a Wikipage to another Wikipage	Quadratic Gauss sum Root of unity Multiplicative group Binomial theorem Double counting (proof technique) Index of a subgroup Article proofs Gaussian period Gauss's lemma (number theory) Gotthold Eisenstein Algebraic number theory Cyclotomic field Euler's criterion Floor function Number theory Mathematical proof Pythagorean theorem Quadratic reciprocity Zolotarev's lemma Algebraic number theory Chinese remainder theorem Springer Science+Business Media Proofs of quadratic reciprocity Frobenius automorphism Artin reciprocity Signature of a permutation Relatively prime Lattice point
Link from a Wikipage to an external page	https://www.mathi.uni-heidelberg.de/~flemmermeyer/qrg_proofs.html http://journals.cambridge.org/download.php%3Ffile=%2FJAZ%2FJAZ1_51_03%2FS1446788700034583a.pdf&code=7681a6297e9c4a688a9e7b504bdd5319 https://www.springer.com/de/book/9780387947624 https://www.springer.com/de/book/9780387973296 https://www.springer.com/de/book/9783540669579
sameAs	Proofs of quadratic reciprocity Proofs of quadratic reciprocity Proofs of quadratic reciprocity Proofs of quadratic reciprocity Proofs of quadratic reciprocity
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has abstract	In number theory, the law of quadratic reciprocity, like the Pythagorean theorem, has lent itself to an unusually large number of proofs. Several hundred proofs of the law of quadratic reciprocity have been published. (en) 这个条目给出了二次互反律的证明。 (zh)
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is Link from a Wikipage to another Wikipage of	Quadratic Gauss sum Double counting (proof technique) Gauss's lemma (number theory) Gauss sum Gaussian integer Legendre symbol Quadratic reciprocity Proofs of quadratic reciprocity
is foaf:primaryTopic of	wikipedia-en:Proofs_of_quadratic_reciprocity

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