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2004.06.11

リーマン予想が証明された! もしかして100万ドル?

2000年にクレイ数学研究所が数学のミレニアム問題として100万ドルの賞金をかけた未解決問題7問を発表しました。そのひとつが「リーマン予想(仮説)」といわれるものですが、

ITmediaより「米数学者、リーマン予想の証明を宣言

 米パデュー大学の6月8日の発表によると、同大学の数学者が数学上の未解決問題であるリーマン予想を証明したと宣言した。

 ルイス・デ・ブランジェス・デ・ボルシア教授は、同大学のWebページに証明の過程を記した23ページの論文を掲載。ほかの数学者に向けてピアレビューを呼び掛けている。

リーマンは19世紀の数学者でリーマン幾何学やリーマン積分などにも名を残しています。数学者としては多くの業績を残していますが、その中で今でも数学者を悩ませているのがリーマン予想です。リーマン予想は素数の分布に関するリーマンの予想で20世紀最大の問題ともいわれていました。

リーマン予想
ζ(ゼータ)関数の零点は-2k(k=1,2,・・・)の他はすべて実部が1/2である。

教授はピアレビューを呼びかけています。もし、解けたということであればフェルマーの定理以来のビッグトピックでしょう。論文はこちらにあります。

論文をちらっとみましたが、英語の数学論文をすらすらと読めるほど頭がクリアではありません。ゆっくりとながめましょう。

でも、100万ドル何に使うんだろう。完全に小市民の感想(笑)。本当だったらですけど・・・。検証待ちかな。

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Comments

私のサイトでも”リーマン予想解決?”という書き込みをして、その後このキーワードでぐぐって来た方がいたので、私もぐぐったところこのサイトにたどり着きました。ときどきおじゃまします。

Posted by: calc | 2004.06.15 at 08:36 AM

blog拝見しました。いやぁ、ちゃんと数学を書いておられるます。尊敬。僕ははやばやと脱落しました(笑)。こちらこそ時々おじゃまさせていただきます。

Posted by: Fum | 2004.06.15 at 10:04 AM

リーマン 予想 π 円 穴

リーマン予想はこの内、素数の分布に関する8番目の問題に含まれている。 ... (Clay Mathematics Institute) はリーマン予想の証明を含む数学の未解決問題7問に対してそれぞれ100万ドルの賞金をかけた(ミレニアム懸賞問題) ...
http://ja.wikipedia.org/wiki/%E3%83%AA%E3%83%BC%E3%83%9E%E3%83%B3%E4%BA%88%E6%83%B3

π が超越数になっていることを示し、円積問題が解けない(与えられた半径の円と同じ面積を持つ正方形を定規とコンパスで作図することはできない)ことを導いた。 ...
http://ja.wikipedia.org/wiki/%E5%86%86%E5%91%A8%E7%8E%87

中国古代の中央に穴の空いた円形状の貨幣を指す。 ...
http://www.excite.co.jp/News/china/20090511/Searchina_20090511145.html

.「π八道」外枠から八つのπができる。 π穴をいかなる方向にも出せる究極の神通力。 (伯壬旭師御論文より抜粋) 形状はこちらです ...
http://rda1.com/jinja/pihachi.html

「タロット」という謎めいた遊戯機械のダイアグラムを描出することにある。 ... のニーチェによる解法であり、「測定不可能な円形の天空と歩測可能な大地という対立のつがいを統一する秘法π(円周率)」の物質的等価物ということになる。 ...
http://www3.ocn.ne.jp/~greenbox/chemia.htm

1000以下でこのような双子素数は「59・61」、「179・181」、「821・823」である。 17、19の次の23、29も該当するため、連続する4つ以上の素数が「循環節=n-1」となる最初の組み合わせとなる。 ... タロットの大アルカナでは太陽。 ...
http://ja.wikipedia.org/wiki/19
原子番号 19 の元素はカリウム(K)。
19年で、同じ日付の日の月相(月の缺け方)が一致する。これをメトン周期という。
十九路盤:囲碁に使われる最も標準的な碁盤。(縦横十九本の線が交差している事から言う)。
タロットの大アルカナでは太陽。

十二支はその名のとおり 12 年で一回りするわけですが、これは惑星の木星の周期と同じです。 ... 十二支がこれだからタロットカードはこれだと決め付けるようなものではありませんが、一応木星の周期には一致しているので、 ...
http://www.clio.ne.jp/home/imocha/koza/koza45.htm

n2+n+17の式のnに0から15までを代入すると、式の値がすべて素数となる。 一般にpとqが異なる素数では、pq1とqp ... 175年火星の外側を公転する木星・土星・天王星・海王星が一直線に並ぶ天文学的周期。 惑星直列周期。 ...
http://homepage3.nifty.com/enoch/fo-number2/num17.htm

星・土星・天王星・海王星が一直線

直線はただひとつだが、リーマン球面においては北極と南極のように球の中心に対して互いに対称の位置にある二点を通る直線はいくつも(無限個)存在する。 あるいは、リーマン球面は平面に無限遠点をただ一つだけ加えることによって実現される。 ...
http://ja.wikipedia.org/wiki/%E6%A5%95%E5%86%86%E5%B9%BE%E4%BD%95%E5%AD%A6
楕円幾何学は、平行線公準あるいは平行線公理とも呼ばれるユークリッド原論における第5公準「任意の直線上にない一点を通る平行な直線がただ一本存在すること」に代わり、それを否定する公理を付け加え、その新たな平行線公理と無矛盾な体系として得られる幾何学である非ユークリッド幾何学の一つである。

神、リーマン予想や同値命題、ポアンカレ予想、PNP予想、 あるいはグロモフの予想や幾何化予想について
http://onlooker.g.hatena.ne.jp/syoboneko/20081208/1228735609

リーマン ... 未来をある程度予測できるというのは、楽しいことばかりではありません。 ... これはもう神の領域に踏み込んでいるかも、と思うことがあります。 ...
http://ikurinko.way-nifty.com/top/2005/04/index.html

メトンはこの周期を6,940日とした。 ... 1を19個並べて書いた数は素数である。 つまり2番目のレプユニット。( SEE11) ... 太陽系のあらゆる惑星・衛星・彗星の周期が公約数になっている。 占星術的にはあらゆる ...
http://homepage3.nifty.com/enoch/fo-number2/num19.htm

神々の力に触れ、全世界を掌で操る大戦略、一騎当千の戦闘力、独創的な発想力、創造力、肉体美を発動させるためのペンダント地獄産業のパワーストーン『素数順列核石』シリーズ『ギルガメッシュ』の通販でのお求めはこちらから

4 つの連続する素数の和であらわせる。 13 + 17 + 19 + 23 = 72。 ... また、中心と一つの辺が成す二等辺三角形の頂角も72°である。 ... ユダヤ教のカバラでは神が持つ72の名(en:Shemhamphorasch)が語られている。 ...
http://ja.wikipedia.org/wiki/72

72 に関すること [編集]
シンガーソングライターで絵本作家の名前 72
原子番号 72 の元素はハフニウム(Hf)。
七十二候:1年を72分割し、5日毎に区切る。
ソロモン72柱:ソロモン王が使役し、封じたという悪魔たち。
水滸伝に登場する百八星のうち、下位72星を地煞星七十二星という。
第72代天皇は白河天皇である。
日本の第72代内閣総理大臣は中曽根康弘である。
カトリック教会では聖書正典の巻数を72としている。
イスラームにおける天国では男性信者は永遠の処女(フーリー)と性交できるとされるが、その人数はしばしば信者一人につき72人とされる。クルアーン本文には人数の記載はなく論者によって違いがある。
ユダヤ教のカバラでは神が持つ72の名(en:Shemhamphorasch)が語られている。
タイでは、60歳(十二支5回)よりも、72歳(十二支6回)の方が盛大に祝賀される。
360の1/5が72となることから、円グラフなどでは、72は「」の意味を伴うことがある。例えば、72°の測量器具を「五分儀」という。
ライフサイクルにおいては、人生七十二年説がある。
例えば、18歳を成人とする国が多いのは、18が90(30年×3)と72(360の約数のうち90の次に大きい数)の最大公約数であるからとされる。
大人は安静時に1分平均約72回の心拍数を示す。
1072は漢数字で表せない最小の自然数。漢数字で表せる最大の数は、1072-1=九千九百九十九無量大数九千九百九十九不可思議九千九百九十九那由他九千九百九十九阿僧祇九千九百九十九恒河沙九千九百九十九極九千九百九十九載九千九百九十九正九千九百九十九澗九千九百九十九溝九千九百九十九穣九千九百九十九杼九千九百九十九垓九千九百九十九京九千九百九十九兆九千九百九十九億九千九百九十九万九千九百九十九である。

霊数 72 素数 
西洋数霊盤も周りを九の数霊が固めている(72・27) ...
http://123.mikosi.com/kazutama.html

賢者の石: 虹の戦士たちへ
世界精気の濃縮計画は26,000年周期間で予定されていた。 ... 5芒星の最初の角度は72°(360°÷5=72°)である。 ... 獅子の時代とはアトランティスの時代、水瓶の時代は21世紀初頭に始まる.・・・・・・ 占星 ...
http://weedweedweed.cocolog-nifty.com/blog/2009/05/post-27eb.html
5芒星x「4」はUVGグリッドの基本的構成要素のひとつである正20面体の基本的構成要素である。5芒星は古代の哲学者によって創造の神秘の知的シンボルとして採用された。5芒星の最初の角度は72°(360°÷5=72°)である。これは144°の半分であり、光の調和フラクタルパターンである。5芒星の幾何学は生物学的生命を創る宇宙の生命エネルギーのためのアンテナとして働く。5芒星の中心核にある5角形の角度は144°である。そんなわけで、新しい意識融合体グリッドと惑星UVGグリッドを融合させるには「生命の木」「5芒星」「宇宙エネルギー」の三要素を四次元的に連結させる作業が必要不可欠であった。

DNAの連結12面体は10回の完全なる回転をして対称性を取り戻す。それぞれの回転の角度はそれゆえに36°に分割されるが、それはまた144,000とも調和的関係となっている。36は「9」で通分することができ5芒星の全ての角度もまた、「9」で通分できる。

現行の5200年の「長周期」の終了する日は、26,000年の歳差運動の分点と直接的な相互関係を持っていて、その歳差運動の年数は神聖暦を構成する260ユニットの「フラクタルで宇宙的な調和倍音」である。我々が360日で5200年を計算すると、興味深い数値が出てくる。5200×360=1,872,000。この数値をマヤ神聖暦の13で割ると、144,000に行き当たる。26,000はまた5200で割る事ができる。すなわち26,000/5=5200。5200という数は52の調和倍音でもあるが、52もまた260ユニットの神聖暦の中にも現れる重要な数で、月周期28に付加される数的価値である4つのサインの13グループ分の数でもある。

西洋の神秘主義では、「生命の木と生命の花」を惑星グリッドと連結させた研究と使い方の起源はギリシアでは「ヘルメス」から来ており、またエジプトのトートという名前から我々はソート(thought/思想)という単語を得ている。ヘルメスは明らかに普遍的知識の先進的な教師である。「エノクの鍵」によれば、ヘルメス学は、神の教える宇宙を貫く知を運ぶ普遍的な学問である。

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