Note on Integer Factoring Methods IV

TL;DR

This paper advances deterministic integer factorization algorithms by developing polynomial systems, setting a new benchmark for their theoretical time complexity.

Contribution

It introduces a novel approach using polynomial systems to improve the theoretical bounds of deterministic factorization methods.

Findings

Established a new deterministic time complexity benchmark

Extended the theoretical framework for polynomial-based factorization

Provided insights into polynomial systems in integer factorization

Abstract

This note continues the theoretical development of deterministic integer factorization algorithms based on systems of polynomials equations. The main result establishes a new deterministic time complexity bench mark in integer factorization.