Maths Olympiad Prep

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Number theory Difficulty 6.1 National olympiad Prove it

Theorem 1.5. Given a positive number ϵ>0\epsilon>0, there is an algorithm for multiplication of two nn-bit integers using O(n1+ϵ)O\left(n^{1+\epsilon}\right) bit operations.

Solution

None

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.