Abstract
In Part II we will show plenty of examples of eta products or linear combinations of eta products which are Hecke eigenforms and which are represented by theta series with a Hecke character on some imaginary quadratic field. Our starting point for exhibiting these examples is a list of all holomorphic eta products of a given level N and weight k. The results in Sect. 3 say that we get this list when we list up all the lattice points in a certain compact simplex. Every single lattice point represents an interesting function, and we really need such a list.
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© 2011 Springer-Verlag Berlin Heidelberg
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Köhler, G. (2011). An Algorithm for Listing Lattice Points in a Simplex. In: Eta Products and Theta Series Identities. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16152-0_4
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DOI: https://doi.org/10.1007/978-3-642-16152-0_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16151-3
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