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On the coefficients of the transformation polynomials for the elliptic modular function

Published online by Cambridge University Press:  24 October 2008

Paula Cohen
Paula Cohen
Affiliation:
Department of Mathematics, University of Nottingham
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Extract

In this article an estimate is obtained for the coefficients of the transformation polynomials for the elliptic modular function. This enables us to answer some questions raised by Mahler in [5] and [6].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 95 , Issue 3 , May 1984 , pp. 389 - 402
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

REFERENCES

[1]Hardy, G. H. and Wright, E. M.. An Introduction to the Theory of Numbers (Oxford University Press 1979).Google Scholar
[2]Herrmann, O.. Uber die Berechnung der Fourierkoeffizienten der Funktion j(r). J. Reine Angew. Math. 274/275 (1975), 187–195.Google Scholar
[3]Lang, S.. Elliptic Functions (Addison-Wesley 1973).Google Scholar
[4]Lang, S.. Elliptic Curves, Diophantine Analysis. Grund. der math. Wiss., 231 (Springer-Verlag, 1978).CrossRefGoogle Scholar
[5]Mahler, K.. On the coefficients of the 2mth transformation polynomial for j(w). Acta Arith. 21 (1972), 89–97.CrossRefGoogle Scholar
[6]Mahler, K.. On the coefficients of transformation polynomials for the modular function. Bull. Austral. Math. Soc. 10 (1974), 197–218.CrossRefGoogle Scholar