Involve: A Journal of Mathematics
- Volume 5, Number 1 (2012), 15-24.
A generalization of modular forms
We prove a transformation equation satisfied by a set of holomorphic functions with rational Fourier coefficients of cardinality arising from modular forms. This generalizes the classical transformation property satisfied by modular forms with rational coefficients, which only applies to a set of cardinality for a given weight.
Involve, Volume 5, Number 1 (2012), 15-24.
Received: 20 July 2010
Revised: 3 July 2011
Accepted: 4 August 2011
First available in Project Euclid: 20 December 2017
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Haque, Adam. A generalization of modular forms. Involve 5 (2012), no. 1, 15--24. doi:10.2140/involve.2012.5.15. https://projecteuclid.org/euclid.involve/1513733445