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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

The characters of the binary modular congruence group


Author: Philip C. Kutzko
Journal: Bull. Amer. Math. Soc. 79 (1973), 702-704
MSC (1970): Primary 20G05, 20H05, 15A33; Secondary 10D05
MathSciNet review: 0320170
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  • 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.
  • 2. Walter Feit, Characters of finite groups, W. A. Benjamin, Inc., New York-Amsterdam, 1967. MR 0219636 (36 #2715)
  • 3. G. Frobenius, Uber Gruppencharaktere, S. -B. Berlin. Math. Akad. (1896), 985-1021.
  • 4. R. C. Gunning, Lectures on modular forms, Notes by Armand Brumer. Annals of Mathematics Studies, No. 48, Princeton University Press, Princeton, N.J., 1962. MR 0132828 (24 #A2664)
  • 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.
  • 7. 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), 317–375. MR 0021032 (9,12g)
  • 8. Donald L. McQuillan, A generalization of a theorem of Hecke, Amer. J. Math. 84 (1962), 306–316. MR 0141644 (25 #5041)
  • 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.
  • 12. Shun’ichi Tanaka, Irreducible representations of the binary modular congruence groups 𝑚𝑜𝑑𝑝^{𝜆}, J. Math. Kyoto Univ. 7 (1967), 123–132. MR 0229737 (37 #5311)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1973-13269-0
PII: S 0002-9904(1973)13269-0