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On the algebra of modular forms on a congruence subgroup

Published online by Cambridge University Press:  24 October 2008

A. J. Scholl
A. J. Scholl
Affiliation:
Mathematical Institute, University of Oxford
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Extract

Let A be a subring of the complex numbers containing 1, and Γ a subgroup of the modular group of finite index. We say that a modular form on Γ is A-integral if the coefficients of its Fourier expansion at infinity lie in A. We denote by Mk(Γ,A) the A-module of holomorphic A-integral modular forms of weight k, and by M(Γ, A) the graded algebra of A-integral modular forms on Γ.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 3 , November 1979 , pp. 461 - 466
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

REFERENCES

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