[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 65 (1002ﾚｽ)
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495(2): 2022/04/23(土)12:57 ID:MU2asfqc(6/24) AAS
>>490
>宇宙際Teichmuller理論
>[7] The Mathematics of Mutually Alien Copies: from Gaussian Integrals to Inter-universal Teichmuller Theory. PDF 　　NEW !! (2020-12-23)
>外部ﾘﾝｸ[pdf]:www.kurims.kyoto-u.ac.jp

上記より下記引用
・Gaussian integral ∫ ∞ -∞ e-x2 dx = √π
・[archimedean and nonarchimedean] valuations
・Changes of universe as arithmetic changes of coordinates
関連

P6
§ 1. Review of the computation of the Gaussian integral
§ 1.1. Inter-universal Teichm¨uller theory via the Gaussian integral
The goal of the present paper is to pave the road, for the reader, from a state of
complete ignorance of inter-universal Teichm¨uller theory to a state of general appreciation of the “game plan” of inter-universal Teichm¨uller theory by reconsidering
the well-known computation of the Gaussian integral
∫ ∞ -∞ e-x2 dx = √π
via polar coordinates from the point of view of a hypothetical high-school student who
has studied one-variable calculus and polar coordinates, but has not yet had any exposure to multi-variable calculus.

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