Eta Products and Theta Series Identities

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Focusing on advanced mathematical concepts, this monograph explores products of Dedekind's eta function, Hecke theta series related to quadratic number fields, and Eisenstein series. The author presents a wealth of identities uncovered in the last two decades, most of which are previously unpublished. This work aims to contribute significantly to the field, offering insights and discoveries that enhance the understanding of these complex mathematical structures.