Discrete mean estimates and the Landau-Siegel zero · HackerPapers discussions

Discrete mean estimates and the Landau-Siegel zero — mentioned by izzygonzalez

Mon, 07 Nov 2022 21:40:52 GMT

arXiv https://arxiv.org/abs/2211.02515 Discussion https://old.reddit.com/r/math/comments/y93a86/eliundergradua... https://mathoverflow.net/questions/433949/consequences-resul... New Yorker article https://www.newyorker.com/magazine/2015/02/02/pursuit-beauty

Paper and discussion history. A mention is not an endorsement.

Discrete mean estimates and the Landau-Siegel zero — HN submission

Mon, 07 Nov 2022 20:58:25 GMT

Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang

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: https://arxiv.org/abs/2211.02515. To give a sense of the scale of this claim: If correct, Zhang'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's previous breakthrough, but also constitute a larger leap for number theory than Wiles' 1994 proof of Fermat's…

1303 points; 417 discussion replies on HN. Paper and source history. A submission is not an endorsement.

Discrete mean estimates and the Landau-Siegel zero — HN submission

Mon, 07 Nov 2022 06:48:10 GMT

Discrete mean estimates and the Landau-Siegel zero

3 points; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.