Second-Order Modular Forms with Characters
(2012)
Book Chapter
Blann, T., & Diamantis, N. (2012). Second-Order Modular Forms with Characters. In Fourier Analysis and Number Theory to Radon Transforms and Geometry (55-66). Springer. https://doi.org/10.1007/978-1-4614-4075-8_4
We introduce spaces of second-order modular forms for which the relevant action involves characters. We compute the dimensions of these spaces by constructing explicit bases.