One special class of modular forms and group representations

Galina V. Voskresenskaya

Journal de théorie des nombres de Bordeaux (1999)

  • Volume: 11, Issue: 1, page 247-262
  • ISSN: 1246-7405

Abstract

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In this article we consider one special class of modular forms which are products of Dedekind η -functions and the relationships between these functions and representations of finite groups.

How to cite

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Voskresenskaya, Galina V.. "One special class of modular forms and group representations." Journal de théorie des nombres de Bordeaux 11.1 (1999): 247-262. <http://eudml.org/doc/248341>.

@article{Voskresenskaya1999,
abstract = {In this article we consider one special class of modular forms which are products of Dedekind $\eta $-functions and the relationships between these functions and representations of finite groups.},
author = {Voskresenskaya, Galina V.},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {table of finite subgroups of ; representations of finite groups; multiplicative eta products; groups of order 24; dihedral groups; Hecke theta series; identities},
language = {eng},
number = {1},
pages = {247-262},
publisher = {Université Bordeaux I},
title = {One special class of modular forms and group representations},
url = {http://eudml.org/doc/248341},
volume = {11},
year = {1999},
}

TY - JOUR
AU - Voskresenskaya, Galina V.
TI - One special class of modular forms and group representations
JO - Journal de théorie des nombres de Bordeaux
PY - 1999
PB - Université Bordeaux I
VL - 11
IS - 1
SP - 247
EP - 262
AB - In this article we consider one special class of modular forms which are products of Dedekind $\eta $-functions and the relationships between these functions and representations of finite groups.
LA - eng
KW - table of finite subgroups of ; representations of finite groups; multiplicative eta products; groups of order 24; dihedral groups; Hecke theta series; identities
UR - http://eudml.org/doc/248341
ER -

References

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  9. [9] H.S.M. Coxeter, W.O.J. Mozer, Generators and relations for discrete groups. Second edition, Band 14Springer-Verlag, Berlin-Göttingen- New York1965ix+161 pp. Zbl0133.28002MR174618
  10. [10] G. Shimura, An introduction to the arithmetic theory of automorphic functions. Kanô Memorial Lectures, No. 1. Publications of the Mathematical Society of Japan, No. 11. Iwanami Shoten, Publishers, Tokyo; Princeton University Press, Princeton, N.J., 1971. xiv+267 pp. Zbl0221.10029MR314766
  11. [11] T. Kondo, Examples of multiplicative η- products. Sci. Pap. Coll. Arts and Sci. Univ. Tokyo. 35 (1986), 133-149. Zbl0597.10025
  12. [12] G.V. Voskresenskaya, Modular forms and group representations. Matem. Zametki52 (1992), 25-31. Zbl0771.11022MR1187709
  13. [13] G.V. Voskresenskaya, Cusp forms and finite subgroups in SL(5, C). Fun. anal. and appl.29 (1995), 71-73. Zbl0847.11022MR1340307
  14. [14] G.V. Voskresenskaya, Modular forms and regular representations of groups of order 24. Matem. Zametki60 (1996), 292-294. Zbl0923.11069MR1429128
  15. [15] G.V. Voskresenskaya, Modular forms and the representations of dihedral groups. Matem. Zametki63 (1998), 130-133. Zbl0923.11070MR1631789
  16. [16] G.V. Voskresenskaya, Hypercomplex numbers, root systems and modular forms, "Arithmetic and geometry of varieties" . Samara, (1992), 48-59. Zbl0798.11011MR1265721

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