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Titlebook: Eta Products and Theta Series Identities; Günter Köhler Book 2011 Springer-Verlag Berlin Heidelberg 2011 11-02, 11F20, 11F27, 11R11.Eisens

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Prime levels ,=,≥5 . then we can find complementary components such that a linear combination with ..(.) becomes a Hecke theta series. For .∈{5,7,11,23} the numerator of the eta product is one, .. Then ..(.) itself is a Hecke theta series. These cases are known from (Dummit et al. in Finite Groups—Coming of Age. Cont
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Level ,=4for Γ.(2) listed at the beginning of Sect. 10.1. Therefore the representations by theta series are quite similar to those in Sect. 10.1. A minor difference is that we need larger periods for the characters. It is easy to verify the following result, which allows a comfortable construction of modular
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