純粋・応用数学・数学隣接分野（含むガロア理論）12

純粋・応用数学・数学隣接分野（含むガロア理論）12at MATH

純粋・応用数学・数学隣接分野（含むガロア理論）12 - 暇つぶし2ch887:論文として出版されたろうになお、GaloisのChevalierへの手紙については下記高木先生の近世数学史談でも、これは取り上げられている https://www.ias.ac.in/describe/article/reso/004/10/0093-0100 The Last Mathematical Testament of Galois Indian Academy of Sciences Classics Volume 4 Issue 10 October 1999 pp 93-100 https://www.ias.ac.in/article/fulltext/reso/004/10/0093-0100 The Last Mathematical Testament of Galois Evariste Galois's last mathematical testament in the form ofa letter to his friend Auguste Chevallier is reproduced here in English translation I. P3 The last application of the theory of equations is related to the modular equation of elliptic functions. P5 For p = 7 we find a group of (p + 1) (p - 1) /2 permutations, where ∞ 1 2 4 are respectively related to 0 3 6 5. This group has its substitutions of the form 略 b being the letter corresponding to c, and a a letter which is a residue or non-residue according as c. For p = 11, the same substitutions take place with the same notations, ∞ 1 3 4 5 9 are respectively related to o 2 6 8 10 7. Thus, for the case of p = 5,7,11, the modular equation is reduced to degree p. In all rigor, this reduction is not possible in the higher cases. The third paper concerns the integrals. We know that a. sum of terms of the same elliptic function is always reduced to a single term plus algebraic or logarithmic quantities. https://www.アマゾン近世数学史談 (岩波文庫) Paperback Bunko ? August 18, 1995 by 高木貞治

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