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arxiv: 1501.03078 · v4 · pith:NAIJ2MILnew · submitted 2015-01-13 · 🧮 math.NT

Digit Polynomials and their application to integer factorization

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keywords complexitydigitfactorizationintegerpolynomialsalgorithmapplicationapproach
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This paper presents the concept of digit polynomials, which leads to a deterministic and unconditional integer factorization algorithm with the runtime complexity $\mathcal{O}(N^{1/4+\epsilon})$. 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.

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