Closed jeffgerickson closed 5 years ago
Note that this result almost closes the complexity of integer multiplication, thanks to another recent result by Peyman Afshani andcoauthors, relating multiplication to network coding.
https://arxiv.org/abs/1902.10935
So it's not clear if I should continue describing the complexity of integer multiplication as an open problem. Yes, it is still an open problem, but it's arguably not an algorithmic open problem any more.
Done. Removed discussion of iterated logs. No longer describe integer multiplication as an open problem.
Update references to the fastest known integer multiplication algorithm to David Harvey and Joris Van Der Hoeven's O(n log n)-time algorithm, discovered in 2019: