The Dedekind Formalism

  • Serge Lang
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 222)


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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Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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