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Faster deterministic integer factorization (1201.2116v1)
Published 10 Jan 2012 in math.NT and cs.DS
Abstract: The best known unconditional deterministic complexity bound for computing the prime factorization of an integer N is O(M_int(N1/4 log N)), where M_int(k) denotes the cost of multiplying k-bit integers. This result is due to Bostan--Gaudry--Schost, following the Pollard--Strassen approach. We show that this bound can be improved by a factor of (log log N)1/2.