Alfréd Rényi Institute of Mathematics

Revisiting the Stability of the Ingleton Inequality: A Tropicalization-Free Approach

The classical Ingleton inequality is known to hold for entropic points under specific exact conditional independence constraints. Recently, Matveev and Romashchenko (2026) investigated the stability of these implications, quantifying the extent to which the Ingleton inequality ca...

On the connection between zero-free regions and the error term in the prime number theorem

Abstract We provide for a wide class of zero-free regions an upper bound for the error term in the Prime Number Theorem, refining works of Pintz (1980), Johnston (2024), and Révész (2024). Our method does not only apply to the Riemann zeta function, but to general Beurling zeta f...