John H. Conway: The Sensual (Quadratic) Form, Mathematical Association of America, 1997年，152ページ． J. H. コンウェイ（細川尋史 訳）：素数が香り，形がきこえる，シュプリンガー・フェアラーク東京，2006年，175ページ
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| Published in | 数学 Vol. 60; no. 3; pp. 319 - 323 |
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| Main Author | |
| Format | Journal Article |
| Language | Japanese |
| Published |
一般社団法人 日本数学会
2008
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| Subjects | |
| Online Access | Get full text |
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| Author | 小関, 道夫 |
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| References | [7] A. Schiemann, Ein Beispiel positiv definiter quadratischer Formen der Dimension 4 mit gleichen Darstellungszahlen, Arch. Math. (Basel), 54 (1990), 372–375. [2] J. H. Conway and N. J. A. Sloane, Four dimensional lattices with the same theta series, Internat. Math. Res. Notices, 66 (1992), 93–96. [6] 佐藤文広, ‘J. H.コンウェイ (細川尋史 訳)：素数が香り，形がきこえる’ の書評, 数理科学, 526, サイエンス社, p. 63. [4] Y. Kitaoka, Positive definite quadratic forms with the same representation numbers, Arch. Math. (Basel), 28 (1977), 495–497. [1] J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, Springer, 1988; Third Edition, Grundlehren Math. Wiss, 290 (1998). [5] M. Kneser, Lineare Relationen zwischen Darstellungsanzahlen quadratischer Formen, Math. Ann., 168 (1967), 31–39. [3] M. Kac, Can one hear the shape of a drum?, Amer. Math. Monthly, 73 (1966), 1–23. [8] A. Schiemann, Ternäre positiv definite quadratische Formen mit gleichen Darstellungszahlen, Bonner Math. Schriften, 268, Dissertation, Bonn, 1993. [9] G. F. Voronoi, Nouvelles applications des paramètres continus à la théorie des formes quadratique I, II, III, J. Reine Angew. Math., 133 (1908), 97–178, 134 (1908), 198–287, 136 (1909), 67–181. [10] E. Witt, Eine Identität zwischen Modulformen zweiten Grades, Abh. Math. Sem. Univ. Hamburg, 14 (1941), 323–337. |
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| SubjectTerms | ヴォロノイ細胞 格子のテータ級数 視覚化された2次形式 |
| Title | John H. Conway: The Sensual (Quadratic) Form, Mathematical Association of America, 1997年，152ページ． J. H. コンウェイ（細川尋史 訳）：素数が香り，形がきこえる，シュプリンガー・フェアラーク東京，2006年，175ページ |
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