Abstract
Up till now we have studied individual automorphic forms. These turn out to occur in families in a natural way. For instance, the Poincaré series depends continuously on the weight l, the unitary character x, and the spectral parameter s. The dependence on s is holomorphic. It is not clear from the series that there might be a holomorphic or meromorphic dependence on the character and the weight. In Chapters 9 and 10 we shall get meromorphy by functional analytic methods.
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© 1994 Springer Basel AG
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Bruggeman, R.W. (1994). Families of automorphic forms. In: Families of Automorphic Forms. Modern Birkhäuser Classics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0346-0336-2_7
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DOI: https://doi.org/10.1007/978-3-0346-0336-2_7
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0346-0335-5
Online ISBN: 978-3-0346-0336-2
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