SMRTR Science & EngineeringJan 8, 2025Quanta Magazine

Rational or Not? This Basic Math Question Took Decades to Answer.

SMRTR summary

Mathematicians have developed a powerful new method for proving numbers are irrational, building on Roger Apéry's 1978 proof for ζ(3). The approach, created by Frank Calegari, Vesselin Dimitrov and Yunqing Tang, has proven the irrationality of an infinite collection of zeta-like values and may lead to breakthroughs for other important numbers.

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