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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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The characters of the binary modular congruence group
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by Philip C. Kutzko PDF
Bull. Amer. Math. Soc. 79 (1973), 702-704
References
    1. C. Chevalley and A. Weil, Über das Verhalten der Integrale erster Gattung bei Auto-morphismem des Funktionenkörpers, Abh. Math. Sem. Univ. Hamburg 10 (1934), 358-361.
  • Walter Feit, Characters of finite groups, W. A. Benjamin, Inc., New York-Amsterdam, 1967. MR 0219636
  • 3. G. Frobenius, Uber Gruppencharaktere, S. -B. Berlin. Math. Akad. (1896), 985-1021.
  • R. C. Gunning, Lectures on modular forms, Annals of Mathematics Studies, No. 48, Princeton University Press, Princeton, N.J., 1962. Notes by Armand Brumer. MR 0132828, DOI 10.1515/9781400881666
  • 5. E. Hecke, Uber ein Fundamental problem aus der Theorie der Elliptischen Modulfunktionen, Collected Works (1958), 525-547. 6. E. Hecke, Uber das Verhalten der Integrale erster Gattung bei Abbildungen, ibid., 548-558.
  • H. D. Kloosterman, The behaviour of general theta functions under the modular group and the characters of binary modular congruence groups. I, Ann. of Math. (2) 47 (1946), 317โ€“375. MR 21032, DOI 10.2307/1969082
  • Donald L. McQuillan, A generalization of a theorem of Hecke, Amer. J. Math. 84 (1962), 306โ€“316. MR 141644, DOI 10.2307/2372764
  • 9. H. W. Praetorius, Die Charaktere der Modulargruppen der Stufe q, Abh. Math. Sem. Univ. Hamburg 9 (1933), 365-394. 10. H. Rohrbach, Die Charaktere der binaren Kongruenzgruppen mod p, Schr. Math. Sem. Inst. Math. Univ. Berlin. 1 (1932/33), 33-94. 11. J. Schur, Untersuchungen uber die Darstellung der endlichen Gruppen durch gebrochene lineare substitutionen, J. Reine Angew. Math. 132 (1907), 85-137.
  • Shunโ€™ichi Tanaka, Irreducible representations of the binary modular congruence groups $\textrm {mod}\,p^{\lambda }$, J. Math. Kyoto Univ. 7 (1967), 123โ€“132. MR 229737, DOI 10.1215/kjm/1250524272
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 79 (1973), 702-704
  • MSC (1970): Primary 20G05, 20H05, 15A33; Secondary 10D05
  • DOI: https://doi.org/10.1090/S0002-9904-1973-13269-0
  • MathSciNet review: 0320170