ABC Proof Could Be Mathematical Jackpot - ScienceNOW: "You can't always solve a mathematical problem by reducing it to something you've already solved. Sometimes, you need to invent an entirely new field of mathematics. Last month, Shinichi Mochizuki of Kyoto University in Japan announced that a new field he's been developing for several years—which he calls Inter-universal Teichmüller theory—has proved a famous conjecture in number theory known as the 'abc conjecture.' But the abc conjecture is only the beginning: If Mochizuki's theory proves correct, it will settle a raft of open problems in number theory and other branches of math."
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