CM newforms with rational coefficients
数论
2008-10-02 v5 代数几何
摘要
We classify newforms with rational Fourier coefficients and complex multiplication for fixed weight up to twisting. Under the extended Riemann hypothesis for odd real Dirichlet characters, these newforms are finite in number. We produce tables for weights 3 and 4, where finiteness holds unconditionally.
引用
@article{arxiv.math/0511228,
title = {CM newforms with rational coefficients},
author = {Matthias Schuett},
journal= {arXiv preprint arXiv:math/0511228},
year = {2008}
}
备注
17 pages, 3 tables; final version: Rem 7.2, Thm 9.2 added, references updated, minor changes