[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 49 (1002ﾚｽ)
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455(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/14(水)07:36 ID:qOwFO4Cy(2/11)調 AAS
>>444 補足
トゥエさん
https://oku.edu.mie-u.ac.jp/~kanie/tosm/humanind/jinmeit4.htm
TOSM三重のホーム
人名索引 てと
トゥエ，アクサル(Axel Thue, 1863.2.19-1922.3.7.)
ノルウェー，チョンスベルグに生まれ，オスロに死す。
クリスチャニア大学教授．S.リーの弟子．
整数論．ディオファントス解析．ディオファントス近似におけるトゥエの方法．トゥエ系．1909年の有名な論文で，有理数に近い代数的数が有限個しかないことや，バシェ方程式のような不定方程式には有限個の整数解しかないことを示す．この一般化がトゥエ・ジーゲル(1920)・ロス(1958)の定理．語の同型問題（トゥエの問題）．
ランダウは1922年に，トゥエの定理を
私が知るかぎりもっとも重要な初等整数論の定理
と言っている．
https://en.wikipedia.org/wiki/Axel_Thue
Axel Thue
Axel Thue (Norwegian: ; 19 February 1863 - 7 March 1922), was a Norwegian mathematician, known for his original work in diophantine approximation and combinatorics.
Work
Thue published his first important paper in 1909.[1]
He stated in 1914 the so-called word problem for semigroups or Thue problem, closely related to the halting problem.[2]
His only known PhD student was Thoralf Skolem.
The esoteric programming language Thue is named after him.
つづく
456: 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/14(水)07:37 ID:qOwFO4Cy(3/11)調 AAS
>>455
つづき
https://en.wikipedia.org/wiki/Thue_equation
Thue equation
In mathematics, a Thue equation is a Diophantine equation of the form
ｆ(x,y) = r,
where ｆ is an irreducible bivariate form of degree at least 3 over the rational numbers, and r is a nonzero rational number. It is named after Axel Thue who in 1909 proved a theorem, now called Thue's theorem, that a Thue equation has finitely many solutions in integers x and y.[1]
The Thue equation is solvable effectively: there is an explicit bound on the solutions x, y of the form {\displaystyle (C_{1}r)^{C_{2}} where constants C1 and C2 depend only on the form ｆ. A stronger result holds, that if K is the field generated by the roots of ｆ then the equation has only finitely many solutions with x and y integers of K and again these may be effectively determined.[2]
(引用終り)
以上
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