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Automorphic forms for the theta group

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Part of the Modern Birkhäuser Classics book series

Abstract

In this chapter we consider automorphic forms on a well known subgroup of the modular group, the theta group. We give examples to illustrate the ideas in Part I. The main difference with the modular group is the presence of two cusps.

Keywords

  • Modular Form
  • Theta Function
  • Fourier Expansion
  • Fundamental Domain
  • Eisenstein Series

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  • DOI: 10.1007/978-3-0346-0336-2_14
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© 1994 Springer Basel AG

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Bruggeman, R.W. (1994). Automorphic forms for the theta group. In: Families of Automorphic Forms. Modern Birkhäuser Classics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0346-0336-2_14

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  • DOI: https://doi.org/10.1007/978-3-0346-0336-2_14

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0346-0335-5

  • Online ISBN: 978-3-0346-0336-2

  • eBook Packages: Springer Book Archive