English

Gross-Zagier Type CM Value Formulas on $X_{0}^{*}(p)$

Number Theory 2017-09-04 v2

Abstract

In this work, we derive Gross-Zagier type CM value formulas for Hauptmoduls jp(τ)j_{p}^{*}(\tau) on Fricke groups Γ0(p)\Gamma_{0}^{*}(p). We also illustrate how to employ these formulas to obtain certain Hilbert class polynomials.

Cite

@article{arxiv.1707.09712,
  title  = {Gross-Zagier Type CM Value Formulas on $X_{0}^{*}(p)$},
  author = {Dongxi Ye},
  journal= {arXiv preprint arXiv:1707.09712},
  year   = {2017}
}

Comments

14 pages.A remark was added

R2 v1 2026-06-22T21:01:55.990Z