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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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Number theoretical developments arising from the Siegel formula
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by S. J. Haris PDF
Bull. Amer. Math. Soc. 2 (1980), 417-433
References
  • B. J. Birch, Forms in many variables, Proc. Roy. Soc. London Ser. A 265 (1961/62), 245–263. MR 150129, DOI 10.1098/rspa.1962.0007
  • A. I. Borevich and I. R. Shafarevich, Number theory, Pure and Applied Mathematics, Vol. 20, Academic Press, New York-London, 1966. Translated from the Russian by Newcomb Greenleaf. MR 0195803
  • H. Davenport, Cubic forms in sixteen variables, Proc. Roy. Soc. London Ser. A 272 (1963), 285–303. MR 155800, DOI 10.1098/rspa.1963.0054
    • 4. P. Deligne, Lectures in honor of W. V. D. Hodge, Cambridge, 1973. 5. J. I. Igusa, Complex powers and asymptotic expansions, I, J. Reine Angew Math. 268/269 (1974), 110-130; II, Ibid, 278/279 (1975), 307-321.
  • Jun-ichi Igusa, On a certain Poisson formula, Nagoya Math. J. 53 (1974), 211–233. MR 347774, DOI 10.1017/S0027763000016159
  • Jun-ichi Igusa, Criteria for the validity of a certain Poisson formula, Algebraic number theory (Kyoto Internat. Sympos., Res. Inst. Math. Sci., Univ. Kyoto, Kyoto, 1976) Japan Soc. Promotion Sci., Tokyo, 1977, pp. 43–65. MR 0460287
  • Jun-ichi Igusa, A Poisson formula and exponential sums, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 23 (1976), no. 1, 223–244. MR 417058
  • Jun-Ichi Igusa, Some observations on higher degree characters, Amer. J. Math. 99 (1977), no. 2, 393–417. MR 441933, DOI 10.2307/2373827
    • 10. M. Levin, A continuity problem in the Siegel-Weil formula, Tech. Report (1974), University of Maryland.
  • Ernst S. Selmer, The Diophantine equation $ax^3+by^3+cz^3=0$, Acta Math. 85 (1951), 203–362 (1 plate). MR 41871, DOI 10.1007/BF02395746
    • 12. C. L. Siegel, Lectures on the analytical theory of quadratic forms, Institute for Advanced Study Notes, 1934.
  • C. L. Siegel, Lectures on quadratic forms, Tata Institute of Fundamental Research Lectures on Mathematics, No. 7, Tata Institute of Fundamental Research, Bombay, 1967. Notes by K. G. Ramanathan. MR 0271028
  • Tsuneo Tamagawa, Adèles, Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965) Amer. Math. Soc., Providence, R.I., 1966, pp. 113–121. MR 0212025
  • André Weil, Sur certains groupes d’opérateurs unitaires, Acta Math. 111 (1964), 143–211 (French). MR 165033, DOI 10.1007/BF02391012
  • André Weil, Sur la formule de Siegel dans la théorie des groupes classiques, Acta Math. 113 (1965), 1–87 (French). MR 223373, DOI 10.1007/BF02391774
    • 17. A. Weil, Adeles and algebraic groups, Lecture Notes, Institute for Advanced Study, Princeton, 1961.
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 2 (1980), 417-433
  • MSC (1970): Primary 10-02, 14G99
  • DOI: https://doi.org/10.1090/S0273-0979-1980-14754-0
  • MathSciNet review: 561526