I. Travvenec

activity

20002025

most citedThermodynamic Properties of the Two-Dimensional Two-Component Plasma

4 citations · 7 across the 6 of their papers we have counts for

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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 $ζ (s) := \sum_{n = 1}^{\infty} 1/ n^{s}$ can be interpreted as the energy per point of the lattice $Z$ , 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 $a_{x} = 1$ and $a_{y} = Δ$ , $ζ^{(2)} (s, Δ) = \frac{1}{2} \sum_{j, k} (j^{2} + Δ^{2} k^{2})^{- s}$ $(\Re(s)…