Abstract
This chapter has as first aim the presentation of the classical theory of elliptic functions and curves, as first studied in the nineteenth century by Abel, Jacobi, Legendre, Weierstrass.
An erratum to this chapter is available at http://dx.doi.org/10.1007/978-3-540-46916-2_5
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BRIOT C., BOUQUET C.: Théorie des fonctions elliptiques, 2e éd. Paris, Gauthiers-Villars 1875, 2 vol.
FRICKE R.: Die elliptischen Funktionen und ihre Anwendungen, Leipzig-Berlin, Teubner 1922.
APPEL P., LACOUR E.: Principes de la théorie des fonctions elliptiques et applications, 2e éd. Paris, Gauthier-Villars 1922.
WHITTAKER E.T., WATSON G.N.: (A course of) Modern analysis, Cambridge at the University Press, 4th ed. reprinted 1965.
AHLFORS L.V.: Complex analysis, 2d ed. New-York, McGraw-Hill, 1966.
WEIL A.: Introduction à l’étude des variétés kählériennes, Act. Sc. et Industrielles 1267, Paris, Hermann 1958.
WEIL A.: Théorèmes fondamentaux de la théorie des fonctions thêta, Séminaire Bourbaki Mai 1949.
SIEGEL C.L.: Vorlesungen über gewählte Kapitel der Funktionentheorie (Notes by Gottschling E., Klingen H.), Mathematische Institut der Universität, Göttingen, 1964.
FORD L.R.: Automorphic functions, 2d ed. New-York, Chelsea Publ. 1951.
LEHNER J.: Discontinuous groups and automorphic functions, (Math. Survey 8) Amer. Math. Soc. Providence, 1964.
GUNNING R.C.: Lectures on modular forms (Notes by Brumer A.), Princeton University Press, Princeton N.J., 1962.
SERRE J.-P.: Cours d’arithmétique (Collection “Le Mathématicien”), Presses Universitaires de France, Paris 1970.
SERRE J.-P.: Arbres, amalgames et SL2, (notes rédigées avec la collaboration de Bass H.), to appear in the Springer-Verlag lecture notes in mathematics series, Berlin.
SIEGEL C.L.: A simple proof of \( \eta ( - 1/\tau ) = \eta (\tau ) \sqrt {\tau /i} \) Mathematika 1, 1954, p.4 (Complete works, vol 2, p.188).
SIEGEL C.L.: Analytische Zahlentheorie (Notes by Kürten K.F., Köhler G.), Mathematische Institut der Universität, Göttingen, 1964.
ERDELYI-MAGNUS-OBERHETTINGER-TRICOMI: Higher Transcendental Functions, (Bateman Manuscript Project), New-York, McGraw-Hill, 1953,vol.2.
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(1973). Complex Elliptic Curves. In: Elliptic Curves. Lecture Notes in Mathematics, vol 326. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-46916-2_1
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DOI: https://doi.org/10.1007/978-3-540-46916-2_1
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