The Schinzel–Zassenhaus conjecture on houses of algebraic integers
Let α\alphaα be an algebraic integer of degree ddd, with conjugates α=α1,…,αd\alpha=\alpha_1,\ldots,\alpha_dα=α1,…,αd. Its house is \houseα=max1≤i≤d∣αi∣\house{\alpha}=\max_{1\leq i\leq d}|\alpha_i|\houseα=max1≤i≤d∣αi∣. An algebraic in…