3 problems

Let the motivic extensions arising from the higher Green's functions be as in the source, with $z$ fixed and $w$ varying among CM points, and with the modular group $\Gamma$ allowe…

Let $m>0$ be an integer, let $\Gamma$ be a finite-index subgroup of $\operatorname{SL}_2(\mathbb{Z})$, and let $G_{\Gamma,m+1}(z,w)$ be the higher automorphic Green's function. Let…

For $z,\mathfrak{z}\in\mathbb{H}$ and $k\in\mathbb{N}_{>1}$, let $G_k(z,\mathfrak{z})$ be the higher Green's function on ${\text {\rm SL}}_2(\mathbb{Z})\backslash\mathbb{H}$. A CM…