On off-critical zeros of lattice energies in the neighborhood of the Riemann zeta function

Laurent Bétermin, Ladislav Šamaj, Igor Travěnec

The Riemann zeta function $\zeta (s):={\sum }_{n=1}^{\infty }1/n^s$ can be interpreted as the energy per point of the lattice $\mathbb{Z}$, interacting pairwisely via the Riesz potential…