The theta functions of sublattices of the Leech lattice
Takeshi Kondo and Takashi Tasaka
Source: Nagoya Math. J. Volume 101 (1986), 151-179.
Primary Subjects: 11F11
Secondary Subjects: 11H31
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.nmj/1118780340
Mathematical Reviews number (MathSciNet):
MR0828920
Zentralblatt MATH identifier:
0579.10010
References
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Mathematical Reviews (MathSciNet):
MR39:6824
Zentralblatt MATH:
0212.07001
[2] Conway, Three lectures on exceptional groups, p. 215-247 of Finite Simple Groups, edited by M. B. Powell and G. Higman, Academic Press, N. Y., 1971.
Mathematical Reviews (MathSciNet):
MR49:2918
[3] Conway, J. H. and Norton, S. P., Monstrous moonshine, Bull, London Math. Soc, 11 (1979), 308-339.
Mathematical Reviews (MathSciNet):
MR81j:20028
Zentralblatt MATH:
0424.20010
[4] Koike, M., Mathieu group M24 and modular forms, Nagoya Math. J., 99 (1985), 147-157.
Mathematical Reviews (MathSciNet):
MR87e:11060
[5] Shimura, G., Introduction to the Arithmetic Theory of Automorphic Functions, Publ. Math. Soc. Japan, No.11, Iwanami shoten, Publishers and Princeton Uni- versity Press, 1971.
Zentralblatt MATH:
0221.10029
[6] Sloane, N. J. A., Binary Codes, Lattices and sphere packings, p. 117-164 of P. J. Cameron, Combinatorial Surveys, Academic Press, London and New York, 1977.
Mathematical Reviews (MathSciNet):
MR58:9781
[7] Sloane, Codes over GF(4) and complex lattices, J. Algebra, 52 (1978), 168-187.
Mathematical Reviews (MathSciNet):
MR58:9782
[8] Tannery, J. et Molk, J., Elements de la theories des functions elliptique, Chelsea, Bronx, New York, 2nd edition, 1972.
[9] Tasaka, T., On even lattices of 2-square type and self-dual codes, J. Fac. Sci. Univ. Tokyo, 28 (1982), 701-714.
Mathematical Reviews (MathSciNet):
MR84g:10059
Zentralblatt MATH:
0508.10019
[10] Thompson, J. G., Finite groups and modular functions, Bull. London Math. Soc, 11 (1979), 347-351.
Mathematical Reviews (MathSciNet):
MR81j:20029
Zentralblatt MATH:
0424.20011
[II] Todd, N. J., A representation of the Mathieu group M24 as a collineation group, Ann. Mat. Pure Appl., 71 (1966), 199-238. Department of Mathematics Colledge of Arts and Sciences University of Tokyo Komaba, Megtro-k Tokyo 153, Japan
Mathematical Reviews (MathSciNet):
MR34:2713
Nagoya Mathematical Journal
