現代数学の系譜 工学物理雑談 古典ガロア理論も読む43at MATH
現代数学の系譜 工学物理雑談 古典ガロア理論も読む43 - 暇つぶし2ch79:現代数学の系譜 雑談 古典ガロア理論も読む
19/11/24 14:20:58.30 GGJQySam.net
>>77
つづき
Ⅳのファイル内検索 ”Riemann” 18ヒット
最初のところだけ、引用しておいた
URLリンク(www.kurims.kyoto-u.ac.jp)
Mochizuki, Shinichi (2012d), Inter-universal Teichmuller Theory IV:
(抜粋)
P48
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 intepretations 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.
Indeed, from the point of view of weights [cf. also the discussion of Remark 2.2.2
below], it is natural to regard the [logarithmic] height of a line bundle as an object
that has the same weight as a single Tate twist, or, from a more classical point of
view, “2πi” raised to the power 1. On the other hand, again from the point of view
of weights, the variable “s” of the Riemann zeta function ζ(s) may be thought of
as corresponding precisely to the number of Tate twists under consideration, so a
single Tate twist corresponds to “s = 1”.
以上


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