Dongxi Ye

Dongxi Ye

with his kitty Balla (小丸子) on her fourth birthday

Gross-Zagier type CM value formulas on $X_{0}^{*}(p)$

Published in Journal of Number Theory, 2019

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