<Li> 1809: Theoria Motus Corporum Coelestium in sectionibus conicis solem ambientium (Theorie der Bewegung der Himmelskörper, die die Sonne in Kegelschnitten umkreisen), Theory of the Motion of Heavenly Bodies Moving about the Sun in Conic Sections (English translation by C.H. Davis), reprinted 1963, Dover, New York . </Li> <Li> 1811: "Summatio serierun quarundam singularium". Göttingen: Commentationes Societatis Regiae Scientiarum Gottingensis...German translation by H. Maser "Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory) (Second edition)". New York: Chelsea F.C. 1965 . ISBN 0 - 8284 - 0191 - 8 ., pp. 463--495 (Determination of the sign of the quadratic Gauss sum, uses this to give the fourth proof of quadratic reciprocity) </Li> <Li> 1812: Disquisitiones Generales Circa Seriem Infinitam 1 + α β γ . 1 + etc . (\ displaystyle 1 + (\ frac (\ alpha \ beta) (\ gamma . 1)) + (\ mbox (etc .))) </Li> <Li> 1818: "Theorematis fundamentallis in doctrina de residuis quadraticis demonstrationes et amplicationes novae". Göttingen: Commentationes Societatis Regiae Scientiarum Gottingensis...German translation by H. Maser "Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory) (Second edition)". New York: Chelsea F.C. 1965 . ISBN 0 - 8284 - 0191 - 8 ., pp. 496--510 (Fifth and sixth proofs of quadratic reciprocity) </Li>

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