Inter-universal geometry と ABC予想 (応援スレ) 49

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6: 現代数学の系譜 雑談 ◆yH25M02vWFhP  [sage] 2020/09/17(木) 22:52:47.19 ID:Goa0/AaP

つづき

下記の PDF 数学の超難問「ABC予想」とは？
別冊Newton「数学の世界」 増補第3版 168 - 171 2019年11月 協力 小山信也 執筆 山田久美
これ分かり易いな
必見ですね（＾＾
https://researchmap.jp/koyama
researchmap 小山 信也 コヤマ シンヤ (Shin'ya Koyama)
https://researchmap.jp/koyama/avatar.JPG
https://researchmap.jp/koyama/misc/21300350/attachment_file.pdf
数学の超難問「ABC予想」とは？ 別冊Newton「数学の世界」 増補第3版 168 - 171 2019年11月 協力 小山信也 執筆 山田久美

＜アンチIUTサイト＞
https://taro-nishino.blogspot.com/2019/03/blog-post070.html（TARO-NISHINOの日記）
ABC予想の壮大な証明をめぐって数学の巨人達が衝突する http://taro-nishino.blogspot.com/2019/03/blog-post063.html
https://www.math.columbia.edu/~woit/wordpress/?p=11709 （woitブログ）
Not Even Wrong Latest on abc Posted on April 3, 2020 by woit

なお、（メモ）TAYLOR DUPUYは、arxiv投稿で [SS17]を潰した

https://arxiv.org/pdf/2004.13108.pdf
PROBABILISTIC SZPIRO, BABY SZPIRO, AND EXPLICIT SZPIRO FROM MOCHIZUKI’S COROLLARY 3.12
TAYLOR DUPUY AND ANTON HILADO Date: April 30, 2020.
P14
Remark 3.8.3. (1) The assertion of [SS17, pg 10] is that (3.3) is the only relation between
the q-pilot and Θ-pilot degrees. The assertion of [Moc18, C14] is that [SS17, pg 10] is
not what occurs in [Moc15a]. The reasoning of [SS17, pg 10] is something like what
follows:
P15
(2) We would like to point out that the diagram on page 10 of [SS17] is very similar to
the diagram on §8.4 part 7, page 76 of the unpublished manuscript [Tan18] which
Scholze and Stix were reading while preparing [SS17].
References
[SS17] Peter Scholze and Jakob Stix, Why abc is still a conjecture., 2017. 1, 1, 1e, 2, 7.5.3 ( http://www.kurims.kyoto-u.ac.jp/~motizuki/IUTch-discussions-2018-03.html )
[Tan18] Fucheng Tan, Note on IUT, 2018. 1, 2
つづく

http://rio2016.5ch.net/test/read.cgi/math/1600350445/6

794: 現代数学の系譜 雑談 ◆yH25M02vWFhP  [] 2020/11/20(金) 07:27:41.19 ID:Khql0RBs

>>791 補足
>あとは、IUTの諸概念が、整数論を超えて、
>どこまで翼を広げて、飛翔できるのか

例えば、下記のIUT IVで、Remark 2.2.1.に“inter-universal Mellin transform”
で、リーマン予想にアプローチできるかもと書いてある
IUTでリーマン予想を解決できたら、世界は仰天するよね
Gくん、頑張ってください

http://www.kurims.kyoto-u.ac.jp/~motizuki/Inter-universal%20Teichmuller%20Theory%20IV.pdf
INTER-UNIVERSAL TEICHMULLER THEORY IV: ¨
LOG-VOLUME COMPUTATIONS AND
SET-THEORETIC FOUNDATIONS
Shinichi Mochizuki
April 2020

P48〜
Remark 2.2.1.
In this context, it is of interest to observe that the form of the
“ term” δ1/2 ・log(δ) is strongly reminiscent of well-known interpretations of the
Riemann hypothesis in terms of the asymptotic behavior of the function defined
by considering the number of prime numbers less than a given natural number.

(iii) In the well-known classical theory of the Riemann zeta function, the
Riemann zeta function is closely related to the theta function, i.e., by means
of the Mellin transform. In light of the central role played by theta functions
in the theory of the present series of papers, it is tempting to hope, especially
in the context of the observations of (i), (ii), that perhaps some extension of the
theory of the present series of papers ? i.e., some sort of “inter-universal Mellin
transform” ? may be obtained that allows one to relate the theory of the present
series of papers to the Riemann zeta function.

http://rio2016.5ch.net/test/read.cgi/math/1600350445/794

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