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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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Affine Lie algebras and Hecke modular forms
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by V. G. Kac and D. H. Peterson PDF
Bull. Amer. Math. Soc. 3 (1980), 1057-1061
References
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  • 4. E. Hecke, Über einen Zusammenhang zwischen elliptischen Modulfunktionen und indefiniten quadratischen Formen, Mathematische Werke, Vandenhoeck and Ruprecht, Göttingen, 1959, pp. 418-427.
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  • V. G. Kac, Infinite-dimensional Lie algebras, and the Dedekind $\eta$-function, Funkcional. Anal. i Priložen. 8 (1974), no. 1, 77–78 (Russian). MR 0374210
  • V. G. Kac, Infinite-dimensional algebras, Dedekind’s $\eta$-function, classical Möbius function and the very strange formula, Adv. in Math. 30 (1978), no. 2, 85–136. MR 513845, DOI 10.1016/0001-8708(78)90033-6
  • V. G. Kac, Infinite-dimensional algebras, Dedekind’s $\eta$-function, classical Möbius function and the very strange formula, Adv. in Math. 30 (1978), no. 2, 85–136. MR 513845, DOI 10.1016/0001-8708(78)90033-6
  • Eduard Looijenga, Root systems and elliptic curves, Invent. Math. 38 (1976/77), no. 1, 17–32. MR 466134, DOI 10.1007/BF01390167
  • Robert V. Moody, A new class of Lie algebras, J. Algebra 10 (1968), 211–230. MR 229687, DOI 10.1016/0021-8693(68)90096-3
  • 11. D. H. Peterson, Kostant-type partition functions (to appear). 12. V. G. Kac and D. H. Peterson (manuscript in preparation).
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 3 (1980), 1057-1061
  • MSC (1980): Primary 17B65, 10D12
  • DOI: https://doi.org/10.1090/S0273-0979-1980-14854-5
  • MathSciNet review: 585190