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Quadratic Cross Terms and a Complete Finite Factorisation Corridor

Year: 2026

Type: article

Abstract: The discriminant identity for two quadratic cross terms yields a finite even-coefficient corridor characterizing odd composite integers. Exhaustion supplies a primality certificate and recursive splitting yields complete integer factorisation. The balanced case is Fermat's difference-of-squares method; the linear-size worst-case corridor is stated explicitly.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.23887892

Author: Guo, Ziping

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225094746

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