中文

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Γ0(N)\H\Gamma_0(N) \backslash \mathbb H^*上模方程的除子,然后找到任意零亏格同余子群Γ0(N)\Gamma_0(N)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Γ\Gamma-等价和Γ\Gamma-约化型的概念与性质。利用这些,我们可以显式计算N=2,3,4,5N = 2, 3, 4, 5时的递推关系。

关键词

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