Second-Order Modular Forms with Characters

Blann, Thomas; Diamantis, Nikolaos

Abstract

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.

Citation

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

• Online Publication Date: Jan 1, 2012
• Publication Date: Jul 30, 2012
• Deposit Date: Aug 12, 2023
• Publisher: Springer
• Pages: 55-66
• Series Title: Developments in Mathematics
• Series Number: 28
• Book Title: Fourier Analysis and Number Theory to Radon Transforms and Geometry
• ISBN: 978-1-4614-4074-1
• DOI: https://doi.org/10.1007/978-1-4614-4075-8_4
• Public URL: https://nottingham-repository.worktribe.com/output/23559326
• Publisher URL: https://link.springer.com/chapter/10.1007/978-1-4614-4075-8_4