The automorphism group of Leech lattice and elliptic modular functions Dedicated to Professor Hirosi Nagao on his 60th birthday

Takeshi KONDO

doi:10.2969/jmsj/03720337

The automorphism group of Leech lattice and elliptic modular functions

Dedicated to Professor Hirosi Nagao on his 60th birthday

Takeshi KONDO

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ジャーナルフリー

1985 年 37 巻 2 号 p. 337-362

DOI https://doi.org/10.2969/jmsj/03720337

詳細

Published: 1985 Received: 1984/05/28 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) J. H. Conway, Three Lectures on Exceptional Groups (Chap. VII of Finite Simple Groups, edited by M. B. Powell and G. Higman), Academic Press, London and New York, 1971.
2) J. H. Conway and S. P. Norton, Monstrous moonshine, Bull. London Math. Soc., 11 (1979), 308-339.
3) M. Koike, On Mackay's conjecture, Nagoya Math. J., 95 (1984), 85-90.
4) M. Koike, Moonshine for PSL₂(p), preprint.
5) M. Koike, a personal communication (a table of explicit expressions of η_π(z) as Eisenstein series).
6) M. I. Knopp, Modular Functions in Analytic Number Theory, Markham Mathematics Series, 1970.
7) D. E. Littlewood, The Theory of Group Characters and Matrix Representations of Groups, 2nd Edition, Oxford Univ. Press, 1950.
8) G. Mason, M₂₄ and certain automorphic forms, preprint.
9) M. Newmann, Construction and application of a class of modular functions II, Proc. London Math. Soc. (3), 9 (1959), 373-387.
10) L. Queen, Modular functions arising from some finite groups, Math. Comp., 37 (1981), 547-580.
11) R. A. Wilson, The maximal subgroups of Conway's group Co₁, J. Algebra, 85 (1983), 144-165.

Right : [1] J. H. Conway, Three Lectures on Exceptional Groups (Chap. VII of Finite Simple Groups, edited by M. B. Powell and G. Higman), Academic Press, London and New York, 1971.
[2] J. H. Conway and S. P. Norton, Monstrous moonshine, Bull. London Math. Soc., 11 (1979), 308-339.
[3] M. Koike, On Mackay's conjecture, Nagoya Math. J., 95 (1984), 85-90.
[4] M. Koike, Moonshine for PSL₂(p), preprint.
[5] M. Koike, a personal communication (a table of explicit expressions of η_π(z) as Eisenstein series).
[6] M. I. Knopp, Modular Functions in Analytic Number Theory, Markham Mathematics Series, 1970.
[7] D. E. Littlewood, The Theory of Group Characters and Matrix Representations of Groups, 2nd Edition, Oxford Univ. Press, 1950.
[8] G. Mason, M₂₄ and certain automorphic forms, preprint.
[9] M. Newmann, Construction and application of a class of modular functions II, Proc. London Math. Soc. (3), 9 (1959), 373-387.
[10] L. Queen, Modular functions arising from some finite groups, Math. Comp., 37 (1981), 547-580.
[11] R. A. Wilson, The maximal subgroups of Conway's group Co₁, J. Algebra, 85 (1983), 144-165.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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