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The Dedekind Formalism

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Introduction to Modular Forms

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 222))

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Abstract

This chapter pertains both to Part II and Part III. It deals with periods of differentials of third kind. It reproduces with little change the arguments of Dedekind [Ded] for dlog η. These arguments are typical of those used in deriving the transformation law for more complicated modular forms, and are therefore included here for the convenience of the reader, to give him an early acquaintance with this formalism. We use the transformation constant in the normalization due to Rademacher [Rad] rather than the Dedekind symbol S(c, d) because it is more convenient.

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© 1976 Springer-Verlag Berlin Heidelberg

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Lang, S. (1976). The Dedekind Formalism. In: Introduction to Modular Forms. Grundlehren der mathematischen Wissenschaften, vol 222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51447-0_9

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  • DOI: https://doi.org/10.1007/978-3-642-51447-0_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05716-8

  • Online ISBN: 978-3-642-51447-0

  • eBook Packages: Springer Book Archive

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