Integer multiplication in time

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Integer multiplication is one of the oldest mathematical operations and still a central problem for computer arithmetic. The complexities of many other basic operations such as division, base conversion, gcds, computing and , FFTs, etc. can be expressed in terms of the complexity of integer multiplication. In our talk, we will survey a new algorithm for multiplying two -digit integers in time .

Note: talk corresponding to the “de Bruijn Medal 2022”

Note: Joint work with David Harvey

Occasion: Nederlands Mathematisch Congres, Utrecht, April 19, 2022

Documents: slideshow, TeXmacs source