One special class of modular forms and group representations

DOI10.5802/jtnb.249zbMath0954.11014OpenAlexW1996189606MaRDI QIDQ1809053

Galina V. Voskresenskaya

Publication date: 18 February 2001

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1999__11_1_247_0

zbMATH Keywords

identitiesdihedral groupsrepresentations of finite groupsmultiplicative eta productsHecke theta seriesgroups of order 24table of finite subgroups of \(SL(5,\mathbb{C})\)

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20)

Related Items (10)

Decomposition of spaces of modular forms ⋮ Multiplicative Dedekind \(\eta\)-function and representations of finite groups ⋮ Finite groups and families of modular forms associated with them ⋮ Dedekind \(\eta\)-function in modern research ⋮ Arithmetic properties of Shimura sums related to several modular forms ⋮ The Dedekind eta-function in algebra and number theory: old and new problems ⋮ Finite simple groups and multiplicative \(\eta\)-products ⋮ Unnamed Item ⋮ MACKAY FUNCTIONS IN SPACES OF HIGHER LEVELS ⋮ Unnamed Item

Cites Work

• Finite groups and Hecke operators
• Modular forms and representations of the dihedral group
• Modular forms and regular representations of groups of order 24
• Cusp forms and finite subgroups in \(SL(5, \mathbb{C})\)
• On McKay’s conjecture
• Higher reciprocity law, modular forms of weight 1 and elliptic curves
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