Mahler Measures of Polynomials in Several Variables (original) (raw)
This work delves into the Mahler measures of polynomials defined in several variables, particularly focusing on those with integer coefficients. The study introduces a generalized definition of Mahler measure for Laurent polynomials, highlights its convergence properties, and provides insights into various theorems and representations that characterize these measures. Through exploration of specific polynomial cases and mathematical relationships, this research contributes towards understanding the deeper connections between Mahler measures and other mathematical constructs.