Gauss Lemma and Law of Quadratic Reciprocity

Li Yan; Xiquan Liang; Junjie Zhao

Formalized Mathematics (2008)

  • Volume: 16, Issue: 1, page 23-28
  • ISSN: 1426-2630

Abstract

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In this paper, we defined the quadratic residue and proved its fundamental properties on the base of some useful theorems. Then we defined the Legendre symbol and proved its useful theorems [14], [12]. Finally, Gauss Lemma and Law of Quadratic Reciprocity are proven.MML identifier: INT 5, version: 7.8.05 4.89.993

How to cite

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Li Yan, Xiquan Liang, and Junjie Zhao. "Gauss Lemma and Law of Quadratic Reciprocity." Formalized Mathematics 16.1 (2008): 23-28. <http://eudml.org/doc/266986>.

@article{LiYan2008,
abstract = {In this paper, we defined the quadratic residue and proved its fundamental properties on the base of some useful theorems. Then we defined the Legendre symbol and proved its useful theorems [14], [12]. Finally, Gauss Lemma and Law of Quadratic Reciprocity are proven.MML identifier: INT 5, version: 7.8.05 4.89.993},
author = {Li Yan, Xiquan Liang, Junjie Zhao},
journal = {Formalized Mathematics},
language = {eng},
number = {1},
pages = {23-28},
title = {Gauss Lemma and Law of Quadratic Reciprocity},
url = {http://eudml.org/doc/266986},
volume = {16},
year = {2008},
}

TY - JOUR
AU - Li Yan
AU - Xiquan Liang
AU - Junjie Zhao
TI - Gauss Lemma and Law of Quadratic Reciprocity
JO - Formalized Mathematics
PY - 2008
VL - 16
IS - 1
SP - 23
EP - 28
AB - In this paper, we defined the quadratic residue and proved its fundamental properties on the base of some useful theorems. Then we defined the Legendre symbol and proved its useful theorems [14], [12]. Finally, Gauss Lemma and Law of Quadratic Reciprocity are proven.MML identifier: INT 5, version: 7.8.05 4.89.993
LA - eng
UR - http://eudml.org/doc/266986
ER -

References

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