The coefficients of certain integral modular forms
Published online by Cambridge University Press: 24 October 2008
Extract
The notation which we use is that of a recent paper by one of us, and we quote results from that paper as they are required. It is known (see R, Theorem 1, for example) that the vector space k of all cusp-forms f(z) of even negative dimension – k (k ≥ 12), belonging to the full modular group Γ(1), possesses a finite basis of forms
where k is defined by (2·10) of R and the coefficients possess the following properties:
for a prime p, where p is a positive integer.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 50 , Issue 2 , April 1954 , pp. 305 - 308
- Copyright
- Copyright © Cambridge Philosophical Society 1954
References
REFERENCES
- 7
- Cited by