Subham Roy

collaborators

2 papers

math.NT2026

The Minimal Degree of Salem Numbers with Negative Trace

Subham Roy, Pavlo Yatsyna

We show that the minimal degree of a Salem number with prescribed negative trace is bounded below by $T^{2} / lo g T$ and above by $T^{2} lo g T$ , up to explicit constants and lower-order…

math.NT2025

Random walks through the areal Mahler measure: steps in the complex plane

Matilde N. LalÃn, Siva Sankar Nair, Berend Ringeling +1

We study the areal Mahler measure of the two-variable, $k$ -parameter family $x + y + k$ and prove explicit formulas that demonstrate its relation to the standard Mahler measure of thes…