Abstract
In Example 3.12 we learned that there are exactly six holomorphic eta products of weight \(\frac{1}{2}\) which are new for the levels 1, 2 or 4. In Sects. 1.1 and 1.2 we obtained series expansions for four of these functions. In a closing remark in Sect. 3.6 we explained that these expansions are simple theta series for the rational number field with Dirichlet characters. Now we derive similar expansions for the remaining two eta products
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© 2011 Springer-Verlag Berlin Heidelberg
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Köhler, G. (2011). Eta Products of Weight \(\frac{1}{2}\) and \(\frac{3}{2}\) . In: Eta Products and Theta Series Identities. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16152-0_8
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DOI: https://doi.org/10.1007/978-3-642-16152-0_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16151-3
Online ISBN: 978-3-642-16152-0
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