Note on Fourier expansions at cusps

2019/05/08 by Brunault, François, Neururer, Michael
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1905.02946

Abstract

This was originally an appendix to our paper `Fourier expansions at cusps' [arXiv:1807.00391]. The purpose of this note is to give a proof of a theorem of Shimura on the action of Aut(ℂ) on modular forms for Γ(N) from the perspective of algebraic modular forms. As the theorem is well-known, we do not intend to publish this note but want to keep it available as a preprint.

Related

• Fourier expansions at cusps
• Fourier coefficients and cuspidality of modular forms: a new approach
• The Arithmetic of the Fourier Coefficients of Automorphic Forms
• Fourier coefficients of Hilbert modular forms at cusps
• Computing actions on cusp forms