Abstract
As a consequence of their work, Bruce C. Berndt, Ronald J. Evans, Larry Joel Goldstein and Michael Razar obtained a formula for the square of the class number of an imaginary quadratic number field in terms of Dedekind sums. We give a short proof of it and also express the relative class numbers of imaginary abelian number fields in terms of Dedekind sums.
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Louboutin, S.R. Dedekind sums and class numbers of imaginary abelian number fields. Acta Math. Hungar. 170, 704–708 (2023). https://doi.org/10.1007/s10474-023-01369-9
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DOI: https://doi.org/10.1007/s10474-023-01369-9