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Inter-universal geometry と ABC予想 (応援スレ) 63



481 名前:132人目の素数さん mailto:sage [2021/12/31(金) 16:04:54.97 ID:42KgtWK6.net]
>>322 追加

Christian Tafulaの資料(下記)を見ると、Siegel zeroes 予想で
”Remark 5.3. See also Remark 2.2.3 of Mochizuki’s “IUT IV” [14], in which it is
explained that the calculations of Corollary 2.2 (ii), (iii) of IUT IV can be regarded
as a sort of “weak” version of uniform abc. Such version, however, is much weaker
than the O-weak uniform abc in Conjecture 5.2 (i), and thus, in principle, one is not
able to deduce “no Siegel zeros” from Corollary 2.2 of [14] by using the methods we
are employing here.”
となっているね。いまのIUTでは、不十分ってことか

https://www.kurims.kyoto-u.ac.jp/~motizuki/ExpHorizIUT21/WS4/ExpHorizIUT21-IUTSummit-notes.html
Inter-universal Teichmuller Theory (IUT) Summit 2021,
RIMS workshop, September 7 - September 10 2021
Notes and recordings of the workshop
Christian Tafula Santos From ABC to L: On singular moduli and Siegel zeroes, Reference: [Tafula].

https://arxiv.org/pdf/1911.07215.pdf
[Submitted on 17 Nov 2019 (v1), last revised 18 May 2021 (this version, v3)]
On Landau-Siegel zeros and heights of singular moduli
Christian Tafula

つづく






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