Precise Asymptotics and Exact Formulas for Tensor Product Energies of Fibonacci Lattices

Melia Haase, Nicolas Nagel

We consider the asymptotics of sums of the form $$ \frac1{F_n^σ} \sum_{m = 1}^{F_n-1} \frac{f(m/F_n)}{\left|{\sin(πm/F_n)}\right|^σ} \frac{f(F_{n-1}m/F_n)}{\left|{\sin(πF_{n-1}m/F_…