Title: Yitang Zhang, the mathematician behind the 2013 breakthrough on bounded gaps in primes, posted to the arxiv today a result which (if correct) comes close to proving the nonexistence of Landau--Siegel zeros: <a href="https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;2211.02515" rel="nofollow">https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;2211.02515</a>.<p>To give a sense of the scale of this claim: If correct, Zhang&#x27;s work is the most significant progress towards the Generalized Riemann Hypothesis in a century. Moreover, I think this result would not only be a more significant advance than Zhang&#x27;s previous breakthrough, but also constitute a larger leap for number theory than Wiles&#x27; 1994 proof of Fermat&#x27;s Last Theorem (which was, in my opinion, the greatest single achievement by an individual mathematician in the 20th century).<p>Some discussion &#x2F; explanation of Siegel zeros and Zhang&#x27;s claim can be found here:<p><a href="https:&#x2F;&#x2F;old.reddit.com&#x2F;r&#x2F;math&#x2F;comments&#x2F;y93a86&#x2F;eliundergraduate_the_hype_around_yitang_zhangs&#x2F;" rel="nofollow">https:&#x2F;&#x2F;old.reddit.com&#x2F;r&#x2F;math&#x2F;comments&#x2F;y93a86&#x2F;eliundergradua...</a><p><a href="https:&#x2F;&#x2F;mathoverflow.net&#x2F;questions&#x2F;433949&#x2F;consequences-resulting-from-yitang-zhangs-latest-claimed-results-on-landau-sieg" rel="nofollow">https:&#x2F;&#x2F;mathoverflow.net&#x2F;questions&#x2F;433949&#x2F;consequences-resul...</a><p>An account of Zhang&#x27;s remarkable story (and his previous breakthrough) can be found here. Famously, prior to his breakthrough, he worked at Subway and lived in his car:<p><a href="https:&#x2F;&#x2F;www.newyorker.com&#x2F;magazine&#x2F;2015&#x2F;02&#x2F;02&#x2F;pursuit-beauty" rel="nofollow">https:&#x2F;&#x2F;www.newyorker.com&#x2F;magazine&#x2F;2015&#x2F;02&#x2F;02&#x2F;pursuit-beauty</a>
Upvote: