Lattice Point Variance in Thin Elliptic Annuli over ${\mathbb{F}}_q[T]$

Michael Yiasemides

For fixed coprime polynomials $U,V\in {\mathbb{F}}_q[T]$ with degrees of different parities, and a general polynomial $A\in {\mathbb{F}}_q[T]$, define the arithmetic function $S_{U…