Symplectic Hecke eigenbases from Ehrhart polynomials

Claudia Alfes, Joshua Maglione, Christopher Voll

For $n\in \mathbb{N}$ and $\ell \in \{0,1,\dots ,n\}$, we consider the function extracting the $\ell$th coefficient of the Ehrhart polynomials of lattice polytopes in ${\mathbb{R}}^n$. T…