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

[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 49 (1002ﾚｽ)
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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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