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Conjugacy, genus, and class numbers. (English) Zbl 0221.10030


MSC:

11E41 Class numbers of quadratic and Hermitian forms
11E16 General binary quadratic forms
11F06 Structure of modular groups and generalizations; arithmetic groups
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References:

[1] Bateman, P.: On the representations of a number as the sum of three squares. Trans. Amer. Math. Soc.71, 70-101 (1951). · Zbl 0043.04603 · doi:10.1090/S0002-9947-1951-0042438-4
[2] Fell, H., Newman, M., Ordman, E.: Tables of genera of groups of linear fractional transformations. J. Res. Nat. Bur. Standards67 B, 61-68 (1963). · Zbl 0131.08401
[3] Fricke, R.: Lehrbuch der Algebra. Dritter Band, 305-314. Braunschweig: 1928.
[4] Hall, M.: The theory of groups, 105-106. New York: Macmillan 1959.
[5] Hecke, E.: Die Klassenzahl imaginär-quadratischer Körper in der Theorie der elliptischen Modulfunktionen. Monatshefte für Math. und Physik48, 75-83 (1939). · Zbl 0021.38902 · doi:10.1007/BF01696165
[6] ?? Analytische Arithmetik der positiven quadratischen Formen. Danske Vid. Selsk. Math.-Fys. Medd.17 (12), 134 (1940). · Zbl 0024.00902
[7] Knopp, M., Newman, M.: Congruence subgroups of positive genus of the modular group. Illinois J. Math.9, 577-583 (1965). · Zbl 0138.31701
[8] Lehner, J., Newman, M.: Weierstrass points of ?0(n). Ann. Math.79, 360-368 (1964). · Zbl 0124.29203 · doi:10.2307/1970550
[9] Newman, M.: On a problem of G. Sansone. Ann. Mat. Pura Appl.65(4), 27-34 (1964). · Zbl 0122.08802 · doi:10.1007/BF02418217
[10] ?? Construction and application of a class of modular functions. Proc. London Math. Soc.7 (3), 334-350 (1957). · Zbl 0097.28701 · doi:10.1112/plms/s3-7.1.334
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