Abstract
In this section we study modified theta functions, namely theta series with spherical coefficients, and their behavior under transformations of the modular group. The results of this section are due to E. Hecke [Hec40] and B. Schoeneberg [Sch39, Sch74]. Our presentation follows [Ogg69, Chap. VI] and [Sko87].
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© 1994 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Ebeling, W. (1994). Even Unimodular Lattices. In: Lattices and Codes. Advanced Lectures in Mathematics. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-96879-1_3
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DOI: https://doi.org/10.1007/978-3-322-96879-1_3
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-528-06497-6
Online ISBN: 978-3-322-96879-1
eBook Packages: Springer Book Archive