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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Diophantine equations and modular forms
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by A. P. Ogg PDF
Bull. Amer. Math. Soc. 81 (1975), 14-27
References
  • J. W. S. Cassels, Diophantine equations with special reference to elliptic curves, J. London Math. Soc. 41 (1966), 193–291. MR 199150, DOI 10.1112/jlms/s1-41.1.193
  • P. Deligne and M. Rapoport, Les schémas de modules de courbes elliptiques, Modular functions of one variable, II (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972) Lecture Notes in Math., Vol. 349, Springer, Berlin, 1973, pp. 143–316 (French). MR 0337993
  • Max Deuring, Die Typen der Multiplikatorenringe elliptischer Funktionenkörper, Abh. Math. Sem. Hansischen Univ. 14 (1941), 197–272 (German). MR 5125, DOI 10.1007/BF02940746
  • Jun-ichi Igusa, Kroneckerian model of fields of elliptic modular functions, Amer. J. Math. 81 (1959), 561–577. MR 108498, DOI 10.2307/2372914
  • Daniel Sion Kubert, Universal bounds on the torsion of elliptic curves, Proc. London Math. Soc. (3) 33 (1976), no. 2, 193–237. MR 434947, DOI 10.1112/plms/s3-33.2.193
  • 6. B. Mazur, Modular curves and the Eisenstein ideal (in preparation).
  • B. Mazur and P. Swinnerton-Dyer, Arithmetic of Weil curves, Invent. Math. 25 (1974), 1–61. MR 354674, DOI 10.1007/BF01389997
  • B. Mazur and J. Tate, Points of order $13$ on elliptic curves, Invent. Math. 22 (1973/74), 41–49. MR 347826, DOI 10.1007/BF01425572
  • A. P. Ogg, Rational points of finite order on elliptic curves, Invent. Math. 12 (1971), 105–111. MR 291084, DOI 10.1007/BF01404654
  • A. P. Ogg, Rational points on certain elliptic modular curves, Analytic number theory (Proc. Sympos. Pure Math., Vol. XXIV, St. Louis Univ., St. Louis, Mo., 1972) Amer. Math. Soc., Providence, R.I., 1973, pp. 221–231. MR 0337974
  • A. P. Ogg, Rational points on certain elliptic modular curves, Analytic number theory (Proc. Sympos. Pure Math., Vol. XXIV, St. Louis Univ., St. Louis, Mo., 1972) Amer. Math. Soc., Providence, R.I., 1973, pp. 221–231. MR 0337974
  • Goro Shimura, Introduction to the arithmetic theory of automorphic functions, Kanô Memorial Lectures, No. 1, Iwanami Shoten Publishers, Tokyo; Princeton University Press, Princeton, N.J., 1971. Publications of the Mathematical Society of Japan, No. 11. MR 0314766
  • Hideo Wada, A table of Hecke operators. II, Proc. Japan Acad. 49 (1973), 380–384. MR 379378
  • 14. A. Weil, Sur les courbes algébriques et les variétés qui s’en déduisent, Actualités Sci. Indust., no. 1041 = Publ. Inst. Math. Univ. Strasbourg 7 (1945), Hermann, Paris, 1948. MR 10, 262.
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 81 (1975), 14-27
  • MSC (1970): Primary 10B02, 10D10, 14G05
  • DOI: https://doi.org/10.1090/S0002-9904-1975-13623-8
  • MathSciNet review: 0354675