AMR-036-0043
Partially Solved
Few inflection points of holomorphic curves
v1.3 research notesLet $f=(f_0,\ldots,f_n)$ be a linearly nondegenerate holomorphic curve, let $T(r,f)$ have finite lower order $\lambda$, and let $N_1(r)$ be the averag...
L3
AMR-036-0045
Partially Solved
Conjugate one-points in the unit disk
v1.3 research notesLet $f$ be holomorphic in the unit disk with a simple zero at $0$, exactly two simple $1$-points at $a$ and $\overline a$, and no other zeros or $1$-p...
L3
AMR-036-0046
Partially Solved
Symmetric one-points in the unit disk
v1.3 research notesLet $f$ be holomorphic in the unit disk with a simple zero at $0$, exactly two simple $1$-points at $b$ and $-b$, and no other zeros or $1$-points. De...
L2
AMR-099-0003
Partially Solved
Equilibrium point configurations on the line
v1.3 research notesLet $(a_n)_{n\in\mathbb{Z}}$ be a locally finite configuration of points on $\mathbb{R}$. For the force law $F(x,y)=|x-y|^{-2}$, call the configuratio...
L3