Faster integer multiplication using plain vanilla FFT primes

David Harvey, Joris van der Hoeven · Mathematics of Computation · 2017

Assuming a conjectural upper bound for the least prime in an arithmetic progression, we show that n n -bit integers may be multiplied in O ( n log ⁡ n 4 log ∗ ⁡ n ) O(n \log n\, 4^{\log ^* n}) bit operations.

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