Binary Form
Abstract
An irrational complex root of a suitable integer polynomial has multiplicity below half its degree.
Theorem 1.1 (Binary Form).
Lean statement: D5/S3/Arith/DiophantineApproximation/BinaryForm.two_mul_count_roots_lt_natDegree
Proof. Machine-checked in Lean as D5/S3/Arith/DiophantineApproximation/BinaryForm.two_mul_count_roots_lt_natDegree (✓ std3). ∎
Citation. Ralf Stephan (2026). Subspace-Theorems. URL: https://github.com/rwst/Subspace-Theorems/tree/bfd830f481b296989fa5f0c1e48d9316f72270d8.
Commentary.
An irrational complex root of a suitable integer polynomial has multiplicity below half its degree.