由$\Gamma_0(N)$的奇异模迹满足的递推关系
数论
2020-02-07 v1
摘要
我们计算模曲线上模方程的除子,然后找到任意零亏格同余子群的主模(Hauptmodul)的模迹所满足的递推关系。我们还引入了关于二元二次型的-等价和-约化型的概念与性质。利用这些,我们可以显式计算时的递推关系。
引用
@article{arxiv.2002.02409,
title = {Recurrence relations satisfied by the traces of singular moduli for $\Gamma_0(N)$},
author = {Bumkyu Cho},
journal= {arXiv preprint arXiv:2002.02409},
year = {2020}
}
备注
Accepted for publication in the Taiwanese Journal of Mathematics. arXiv admin note: text overlap with arXiv:1711.00230