Abstract
Published here, and discussed, are some manuscripts and a letter of Sophie Germain concerning her work on Fermat’s Last theorem. These autographs, held at Bibliothèque Nationale of Paris, at the Moreniana Library of Florence and at the University Library of Göttingen, contribute to a substantial revaluation of her work on this subject.
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References
Adleman L.M., Heath-Brown D.R. (1985). The first case of Fermat’s last theorem. Invent. Math. 79: 409–416
Boncompagni B. 1880. Cinq letters de Sophie Germain à Charles-Frederic Gauss. Arch. Der Math. Phys., 63, 27–31, 66, 3–10.
Bucciarelli L.L., Dworsky N. (1980). Sophie Germain, an essay in the History of the Theory of Elasticity. D. Reidel, Dordrecht
Del Centina A. (2005). Letters of Sophie Germain preserved in Florence. Hist. Math. 32: 60–75
Dickson L.E. 1908. On the last theorem of Fermat. Messenger Math., 38, 14–32, and Quart. J. Pure Appl. Math., 40, 27–45.
Edwards H.M. (1977). Fermat’s Last Theorem: A Genetic Introduction to Algebraic Number Theory. Springer, New York
Euler L. 1770. Vollständige Anleitung zur Algebra. 2 voll., St Petersburg. Also in: Opera Omnia, Ser. I, Vol. II. Teubner Leipzig 1911.
Fermat P. 1891–1912. Œuvres de Fermat, Ed. C. Henry et P. Tannery, 4 voll., Paris.
Fouvry E. (1985). Théorème de Brun–Titchmarsh. Application au théorème de Fermat. Invent. Math. 79: 383–407
Fuss P.-H. 1843. Correspondance mathématique et Physique. Imp. Ac. Sci. St. Petersburg, vol. I (reprint, Johnson Reprint Corp. New York and London 1968).
Gandhi J.M. (1965). A note on Fermat’s last theorem. Math. Notae 20: 107–108
Gandhi J.M. (1966). On Fermat’s last theorem. Math. Gaz. 50: 36–37
Gauss C.F. 1801. Disquisitiones Aritmethicae. French translation, Coursier Paris 1807.
Gauss C.F. 1873. Werke II. Reprint by G. Olms Verlag, Hidesheim 1973.
Legendre A.-M. 1823. Sur quelques objets d’analyse indéterminée et particu-lièrement sur le théorème de Fermat. Mém. Ac. R. Sc. de l’Institut de France, 6 (1827), 1–60. Also in: Second supplément, to 2sd ed. of Théorie des nombres. Coursier, Paris, 1808.
Mahoney M.S. (1994), The Mathematical career of Pierre de Fermat, 1601–1665, 2nd ed. Princeton Univ. Press, Princeton
Mazzochi, C.J. 2000. The Fermat Diary, A.M.S.
Perisastri M. (1968). A note on Fermat’s last theorem. Amer. Math. Monthly 75: 170
Raina B.L. (1969). On Fermat’s last theorem. Amer. Math. Monthly 76: 49–51
Ribenboim P. (1999). Fermat’s Last Theorem for Amateurs. Springer, New York
Sampson J.H. (1990). Sophie Germain and the theory of numbers. Arch. Hist. Exact Sci. 41: 157–161
Stone D.E. (1963). On Fermat’s last theorem. Amer. Math. Monthly 60: 976–977
Stupuy H. 1896. Sophie Germain, Œuvres philosophiques. Nouv. ed. Ritti, Paris.
Théboult V. (1953). A note on number theory. Amer. Math. Monthly 60: 322–323
Vandiver E.H. (1926). Note on trinomial congruences and the first case of Fermat’s last theorem. Ann. of Math. 27: 54–56
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Del Centina, A. Unpublished manuscripts of Sophie Germain and a revaluation of her work on Fermat’s Last Theorem. Arch. Hist. Exact Sci. 62, 349–392 (2008). https://doi.org/10.1007/s00407-007-0016-4
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DOI: https://doi.org/10.1007/s00407-007-0016-4