Digit Polynomials and their application to integer factorization
classification
🧮 math.NT
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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