On Hilbert modular forms with integral Fourier coefficients (Q1091418)

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scientific article; zbMATH DE number 4010602
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English
On Hilbert modular forms with integral Fourier coefficients
scientific article; zbMATH DE number 4010602

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    On Hilbert modular forms with integral Fourier coefficients (English)
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    1986
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    The author gives explicit generators for the ring of Hilbert modular forms with integral Fourier coefficients for the two real quadratic fields \(\mathbb Q(\sqrt{2})\) and \(\mathbb Q(\sqrt{5})\). This involves explicit computations using elliptic modular forms and Siegel modular forms of genus two.
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    generators
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    ring of Hilbert modular forms
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    integral Fourier coefficients
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    real quadratic fields
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