The Chowla-Selberg formula for quartic abelian CM fields (Q2802099)
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scientific article; zbMATH DE number 6573130
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Chowla-Selberg formula for quartic abelian CM fields |
scientific article; zbMATH DE number 6573130 |
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25 April 2016
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special values
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Hilbert modular function
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quartic abelian CM-fields
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Chowla-Selberg formula
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The Chowla-Selberg formula for quartic abelian CM fields (English)
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The Chowla-Selberg formula for imaginary quadratic fields provides an explicit relation between values of the Dedekind eta function at CM points and values of the Gamma function at rational numbers. This formula has been generalised to Hilbert modular functions for abelian CM fields. The present paper provides explicit evaluations of this generalised formula for the case of quartic abelian CM fields.
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