How branching properties determine modular equations

Mathematics of Computation

Volumn 61, Issue 203, 1993, Pages 155-170

  Cohn, Harvey ^a  

^a CITY COLLEGE OF NEW YORK   (United States)

Author keywords

Klein and hecke modular functions; Modular equations

Indexed keywords

EID: 84966246698     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1993-1195433-7     Document Type: Article

References (10)

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3. H. Cohn, Introduction to the construction of class fields, Cambridge Univ. Press, London and New York, 1985.
4. J. H. Conway and S. P. Norton, Monstrous moonshine, Bull. London Math. Soc. 11 (1979). 308-339.
5. R. Fricke, Lehrbuch der Algebra III (Algebraische Zahlen), Vieweg, Braunschweig, 1928.
6. F. Klein, Vorlesungen über das Ikosaeder, Teubner, Leipzig, 1884.
7. D. H. Lehmer, Properties of coefficients of the modular invariant J(x), Amer. J. Math. 64 (1942), 488-502.
8. K. Mahler, On a class of non-linear functional equations connected with modular equations, J. Austral. Math. Soc. Ser. A 22 (1976), 65-118.
9. C. Pohl, G. Rosenberger, and A. Schoofs, Arithmetische Eigenschaften von Eisenstein-Reihen zu den Hecke-Gruppen G(y/2) und G(y/Ï), Abh. Math. Sem. Univ. Hamburg 54 (1984), 49-68.
10. H. Weber, Elliptische Funktionen und algebraische Zahlen, Vieweg, Braunschweig, 1891.