🧵 Looks like 1 + 2 + 3 + ... = -1/12 is back on the table boys
Anonymous at Tue, 30 Apr 2024 23:30:10 UTC No. 16153917
>https://arxiv.org/pdf/2401.10981
ifkyk
Anonymous at Wed, 1 May 2024 02:00:07 UTC No. 16154081
Analytic continuation is powerful stuff.
Anonymous at Wed, 1 May 2024 02:58:46 UTC No. 16154147
>>16154081
this one doesn't have to do with analytic continuation, surprisingly enough
Anonymous at Wed, 1 May 2024 07:39:50 UTC No. 16154358
>>16154147
But the underlying -1/12 does.
https://youtu.be/sD0NjbwqlYw
Anonymous at Wed, 1 May 2024 09:46:05 UTC No. 16154559
>>16154358
ah, ok
Anonymous at Wed, 1 May 2024 11:59:32 UTC No. 16154706
>>16154358
The authors showed the -1/12 didn't come from analytic continuation by using arguments purported by Terrence Tao. This is far beyond 3cuck1bull.
Anonymous at Thu, 2 May 2024 02:15:10 UTC No. 16155706
>>16154161
wait what, really?
Anonymous at Thu, 2 May 2024 02:16:18 UTC No. 16155708
>>16154706
deets?
Anonymous at Thu, 2 May 2024 09:21:27 UTC No. 16156199
>>16155708
Read the paper.
Anonymous at Thu, 2 May 2024 09:46:00 UTC No. 16156220
>>16155708
It’s in the introduction. The idea is that rather than taking limits of partial sums, in which we “weight” the terms by an indicator function on the first N integers, then take the limit N ->infty, we instead weight by some other function that tapers off in a different way. You can get -1/12 by simply using a particular weight function and taking the limit.