Abstract
We have seen in Chapter X, ยง 3 that the modular form G k has a q-expansion
So the value of the ordinary zeta function appears as the constant term of a modular form (Eisenstein series, as it is called). This phenomenon, first exploited by Klingen [Kl 3] and Siegel [Si 4], has been highly developed by Serre [Se 5] and others. We give here more examples.
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ยฉ 1976 Springer-Verlag Berlin Heidelberg
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Lang, S. (1976). The Hecke-Eisenstein and Klein Forms. In: Introduction to Modular Forms. Grundlehren der mathematischen Wissenschaften, vol 222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51447-0_15
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DOI: https://doi.org/10.1007/978-3-642-51447-0_15
Publisher Name: Springer, Berlin, Heidelberg
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