3 papers
math-ph2023
Structural transitions in interacting lattice systems
Laurent Bétermin, Ladislav Šamaj, Igor Travěnec
We consider two-dimensional systems of point particles located on rectangular lattices and interacting via pairwise potentials. The goal of this paper is to investigate the phase t…
math.NT2023
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 can be interpreted as the energy per point of the lattice , interacting pairwisely via the Riesz potential…
math.NT2021
Interplay between critical and off-critical zeros of two-dimensional Epstein zeta functions
Laurent Bétermin, Ladislav Šamaj, Igor Travěnec
The two-dimensional Epstein zeta function formulated on a rectangular lattice with spacings and , $(\Re(s)…