https://www.kurims.kyoto-u.ac.jp/~motizuki/Inter-universal%20Teichmuller%20Theory%20IV.pdf [4] Inter-universal Teichmuller Theory IV: Log-volume Computations and Set-theoretic Foundations. PDF NEW !! (2020-04-22)
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. 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”. Thus, from this point of view, “s = 1/2 ”, i.e., the critical line that appears in the Riemann hypothesis, corresponds precisely to the square roots of the [logarithmic] heights under consideration, i.e., to h1/2,δ1/2.
P49 − 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. (引用終り) 以上 0428１３２人目の素数さん2021/12/30(木) 20:58:03.84ID:3OpmZaRg>>412 この記述を全面的に支持します 0429１３２人目の素数さん2021/12/30(木) 21:02:59.97ID:4jYBn4KQ>>428 いままともな話が再開したところなので、頭のおかしな人の妄想話への自演同意は他の所でやってね 0430１３２人目の素数さん2021/12/30(木) 21:04:38.50ID:IgUubPeE 貴方の書き込みは支持しません、尻太郎侍 0431１３２人目の素数さん2021/12/30(木) 21:07:44.39ID:AbXGzZ4e セタは女じゃなくてバイセクシャル男だバカこの 0432１３２人目の素数さん2021/12/30(木) 21:08:00.71ID:4jYBn4KQ>>428>>430 頭のおかしな人向け落書きスレに移動しろ天羽 https://rio2016.5ch.net/test/read.cgi/math/1638084738/0433１３２人目の素数さん2021/12/30(木) 21:17:25.87ID:z9DcNC2n 尻太郎侍の発狂を確認 0434１３２人目の素数さん2021/12/30(木) 23:14:56.52ID:AbXGzZ4e 積み木ぃー何やってんだよ積み木ぃー来年も働かねー積もりかー 0435１３２人目の素数さん2021/12/30(木) 23:17:36.22ID:LTadCQ34 このひとどのスレでも妄想しか書けないのか 0436１３２人目の素数さん2021/12/30(木) 23:53:48.38ID:En9CqBVW>>427 補足
あと、下記の[R4] On asymptotic equivalence of classes of elliptic curves over Q , November 2020 わずか3ページで、見事に ABCの明示公式の導出をしている 必見ですね
ABSTRACT. This short paper asks a question about a new asymptotic symmetry of the moduli space of Frey- Hellegouarch elliptic curves over rational numbers. If the answer to the question is positive then this allows to deduce an effective (1+ε) abc-inequality from effective abc-inequalities established in [3]. 0437１３２人目の素数さん2021/12/31(金) 03:16:34.78ID:Q1hUqpE6>>418 a_watcherの発狂を確認 というか常に発狂しているか 0438１３２人目の素数さん2021/12/31(金) 06:23:48.80 「a_watcher氏はY大学の学生だったが、精神的変調により中退し 当人がその理由をA准教によるものと思いこんで勝手に恨んでいる」 というところまで理解した 0439１３２人目の素数さん2021/12/31(金) 06:25:07.72>>426-427 素人が闇雲にコピペしても 突然賢くなったりしないので 無駄な足掻きはやめましょう 0440１３２人目の素数さん2021/12/31(金) 06:29:49.65>>436 あなたが応援団長だというならやるべきことがあるでしょう 「2022年、望月新一がABC予想解決で「金メダル」をとらなかったら負けを認める」 と宣言しましょう
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
P20 we state the usual uniform abc-conjecture for comparison: Conjecture 5.2 (Uniformity). Let K/Q be a number field and ε > 0. Then: (i) (O-weak uniform abc) C(K, ε) = Oε(log(rdK)). (ii) (Weak uniform abc) C(K, ε) = oε(log(rdK)) as rdK → +∞. (iii) (Uniform abc) C(K, ε) = Oε(1). It is remarked in p. 510 of Granville?Stark [7] that Conjecture 5.2 (iii) follows from Vojta’s General Conjecture under the assumption that [K : Q] is bounded; consequently, so does (i) and (ii).10 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. (引用終り) 以上 0457１３２人目の素数さん2021/12/31(金) 16:52:43.80ID:Q1hUqpE6 大晦日も優子でオナってしまったよ 優子の裸は麻薬だよ まさに美魔女だよ 0458１３２人目の素数さん2021/12/31(金) 16:59:00.50ID:uquP3z1T 優子さんは山大の萌え担当 0459１３２人目の素数さん2021/12/31(金) 17:07:13.91ID:r0AoiBaA 今年のハロウィンの優子さんのメイドさんコスプレ可愛かったー 来年が楽しみ 0460１３２人目の素数さん2021/12/31(金) 17:19:18.06ID:42KgtWK6>>452 ご苦労さまです スレ主です
https://encyclopediaofmath.org/wiki/Ordinal_number Ordinal number The order type of a well-ordered set. This notion was introduced by G. Cantor in 1883 (see [2]). For instance, the ordinal number of the set N of all positive integers, ordered by the relation ≦, is ω. The ordinal number of the set consisting of 1 and numbers of the form 1-1/n where n∈N, ordered by the relation ≦, is ω+1. 0465１３２人目の素数さん2021/12/31(金) 19:13:41.72ID:7xI8oln4>>464 >下記 Ordinal number （encyclopediaofmath.org）を見てください N = {1,2,…} = ω {1-1/n | n∈N}∪{1} = {0,1/2,2/3,3/4,…,1} = ω+1 とは書かれてますが、どこにも ＜無限上昇列 ０＜・・・＜ω が存在する なんて書かれてませんけど？
下記”Ordinal number”の通りです （”Ordinals were introduced by Georg Cantor in 1883[3] in order to accommodate infinite sequences and classify derived sets”）
>ωを第何項目に追加したんですか？
その”第何項目”という問いは、自然数の中だよね で、下記の通り、”the first infinite ordinal, ω”は、”After all natural numbers comes ”なので、全ての自然数の外で、自然数の外に追加しました
分からなければ、下記の”Ordinal number”のリンクを開いて、全文を百回音読してください
https://en.wikipedia.org/wiki/Ordinal_number#Von_Neumann_definition_of_ordinals Ordinal number (抜粋) Ordinals were introduced by Georg Cantor in 1883[3] in order to accommodate infinite sequences and classify derived sets, which he had previously introduced in 1872?while studying the uniqueness of trigonometric series.[4]
Ordinals extend the natural numbers Perhaps a clearer intuition of ordinals can be formed by examining a first few of them: as mentioned above, they start with the natural numbers, 0, 1, 2, 3, 4, 5, … After all natural numbers comes the first infinite ordinal, ω, and after that come ω+1, ω+2, ω+3, and so on. (Exactly what addition means will be defined later on: just consider them as names.) 0494１３２人目の素数さん2022/01/01(土) 08:09:32.66>>481 >aω >=ω{・・n{n-1{・・1{0{}01}1・・}n-1}n・・}ω >=ω{・・n{n-1{・・1{Φ}1・・}n-1}n・・}ω >（Φの外にω重カッコ）
