On Dirichlet series whose coefficients are class numbers of integral binary cubic forms

Takuro SHINTANI

doi:10.2969/jmsj/02410132

Takuro SHINTANI

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ジャーナルフリー

1972 年 24 巻 1 号 p. 132-188

DOI https://doi.org/10.2969/jmsj/02410132

詳細

Published: 1972 Received: 1971/04/09 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) F. Arndt, Zur Theorie der binaren kubischen Formen, J. Reine Angew. Math., 53 (1957), 309-321.
2) A. Borel, Reduction theory for arithmetic groups, Proc. of Symposia in Pure Math., Vol. 9, 1966, 20-25.
3) A. Borel and Harish-Chandra, Arithmetic subgroups of algebraic groups, Ann. of Math., (2) 75 (1962), 485-535.
4) F. Bruhat, Sur les représentations induites des groupes de Lie, Bull. Soc. Math. France, 84 (1956), 97-205.
5) R. Godement, The spectral decomposition of L²(G/Γ) for Γ=SL(2, Z), Proc. of Symposia in Pure Math., Vol. 9, 1966, 211-224.
6) S. Lang, Algebraic Numbers, Addison-Wesley, London, 1964.
7) R. P. Langlands, The volume of the fundamental domain for some arithmetical subgroups of Chevalley groups, Proc. of Symposia in Pure Math., Vol. 9, 1966, 143-148.
8) M. Sato, Theory of prehomogeneous vector spaces (note by T. Shintani, in Japanese), Sugaku no Ayumi, 15 (1970), 85-157.
9) T. Shintani, On Dirichlet series whose coefficients are class numbers of integral binary cubic forms, Proc. Japan Acad., 46 (1970), 909-911.
10) H. M. Stark, On the problem of unique factorization in complex quadratic fields, Proc. of Symposia in Pure Math., Vol. 12, 1969, 41-56.
11) A. Weil, Sur certains groupes d'opérateurs unitaires, Acta Math., 111 (1964), 143-211.
12) H. Davenport, On the class-numbers of integral binary cubic forms, I & II, J. London Math. Soc., 26 (1951), 183-198.

Right : [1] F. Arndt, Zur Theorie der binaren kubischen Formen, J. Reine Angew. Math., 53 (1957), 309-321.
[2] A. Borel, Reduction theory for arithmetic groups, Proc. of Symposia in Pure Math., Vol. 9, 1966, 20-25.
[3] A. Borel and Harish-Chandra, Arithmetic subgroups of algebraic groups, Ann. of Math., (2) 75 (1962), 485-535.
[4] F. Bruhat, Sur les représentations induites des groupes de Lie, Bull. Soc. Math. France, 84 (1956), 97-205.
[5] R. Godement, The spectral decomposition of L²(G/Γ) for Γ=SL(2,Z), Proc. of Symposia in Pure Math., Vol. 9, 1966, 211-224.
[6] S. Lang, Algebraic Numbers, Addison-Wesley, London, 1964.
[7] R. P. Langlands, The volume of the fundamental domain for some arithmetical subgroups of Chevalley groups, Proc. of Symposia in Pure Math., Vol. 9, 1966, 143-148.
[8] M. Sato, Theory of prehomogeneous vector spaces (note by T. Shintani, in Japanese), Sugaku no Ayumi, 15 (1970), 85-157.
[9] T. Shintani, On Dirichlet series whose coefficients are class numbers of integral binary cubic forms, Proc. Japan Acad., 46 (1970), 909-911.
[10] H. M. Stark, On the problem of unique factorization in complex quadratic fields, Proc. of Symposia in Pure Math., Vol. 12, 1969, 41-56.
[11] A. Weil, Sur certains groupes d'opérateurs unitaires, Acta Math., 111 (1964), 143-211.
[12] H. Davenport, On the class-numbers of integral binary cubic forms, I & II, J. London Math. Soc., 26 (1951), 183-198.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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