Gelfond

Abstract

A power-of-two estimate controls the sup norm of a product of complex polynomials.

Theorem 1.1 (Gelfond).

Lean statement: D5/S3/Arith/AbsoluteValues/Heights/Gelfond.supNorm_mul_supNorm_le_two_pow

Proof. Machine-checked in Lean as D5/S3/Arith/AbsoluteValues/Heights/Gelfond.supNorm_mul_supNorm_le_two_pow (✓ std3). ∎

Citation. Ralf Stephan (2026). Subspace-Theorems. URL: https://github.com/rwst/Subspace-Theorems/tree/bfd830f481b296989fa5f0c1e48d9316f72270d8.

Commentary.

A power-of-two estimate controls the sup norm of a product of complex polynomials.

References

• Truth anchor: D5/S3/Arith/AbsoluteValues/Heights/Gelfond.supNorm_mul_supNorm_le_two_pow
• Dependency: D5/S3/Arith/AbsoluteValues/Heights/GaussLemma