Mathematics / Matematik

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  • Article
    Class Number and the Special Values of L-Functions
    (Romanian Academy, 2022) Göral, Haydar
    We give infinitely many explicit new representations of the class number of imag inary quadratic fields in terms of certain trigonometric series. Our result relies on a hybrid between power series and trigonometric series. Furthermore, in some cases we prove that the special values of Dirichlet L-functions can be evaluated as certain finite sums.