$\Gamma_{0}(N)$的Hauptmodul之差与某些Gross-Zagier型CM值公式
数论
2021-01-12 v2
摘要
本文中，我们证明了亏格零群的Hauptmodul之差作为上的Hilbert模函数是型的Borcherds提升。作为应用，我们推导了这些Hilbert模函数的类Monster分母公式的乘积展开以及某些Gross-Zagier型CM值公式。
引用
@article{arxiv.1708.08783,
title = {Difference of a Hauptmodul for $\Gamma_{0}(N)$ and certain Gross-Zagier type CM value formulas},
author = {Dongxi Ye},
journal= {arXiv preprint arXiv:1708.08783},
year = {2021}
}
备注
Accepted for publication in SCIENCE CHINA Mathematics. arXiv admin note: text overlap with arXiv:1701.08433