English

Digit Polynomials and their application to integer factorization

Number Theory 2015-12-22 v4

Abstract

This paper presents the concept of digit polynomials, which leads to a deterministic and unconditional integer factorization algorithm with the runtime complexity O(N1/4+ϵ)\mathcal{O}(N^{1/4+\epsilon}). Strassen's well known factoring approach is a special case of our method. We will also consider a possibility to improve upon the complexity bound.

Keywords

Cite

@article{arxiv.1501.03078,
  title  = {Digit Polynomials and their application to integer factorization},
  author = {Markus Hittmeir},
  journal= {arXiv preprint arXiv:1501.03078},
  year   = {2015}
}

Comments

14 pages

R2 v1 2026-06-22T08:00:01.218Z