Eisenstein series over complex quadratic fields when the class number exceeds one (Q1092942)

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scientific article; zbMATH DE number 4021241
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Eisenstein series over complex quadratic fields when the class number exceeds one
scientific article; zbMATH DE number 4021241

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    Eisenstein series over complex quadratic fields when the class number exceeds one (English)
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    1987
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    \textit{D. Goldfeld}, \textit{J. Hoffstein} and \textit{S. J. Patterson} [Prog. Math. 26, 153-193 (1982; Zbl 0499.10029)] described, among others, Eisenstein series over totally complex fields with the simplifying assumption that the class number h is equal to one. In the paper render review the author develops a theory of Eisenstein series over complex quadratic fields with \(h>1\), by using more classical (Hecke-)methods.
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    Hecke theory
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    Fourier coefficients
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    matrices of Bessel functions
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    Eisenstein series over complex quadratic fields
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