In the paper *Zum Beweise des Starkschen Satzes* Siegel considers the function

$$L_q(s)=\sum_{n=1}^{\infty}\left(\frac{q}{n}\right)n^{-s},$$

where $q$ is a discriminant of a quadratic number field and the character is the Kronecker symbol. Then he writes that "according to Dirichlet" we have, in case $G>0$,

$$L_G(1)=2G^{-1/2}h_G\log \varepsilon_G,$$

where $h_G$ is the corresponding class number and $\varepsilon_G$ the fundamental unit.

However, according to the book Zetafunktionen und quadratische Körper the formula reads

$$h_G=\frac{G^{1/2}}{\log \varepsilon_G}L_G(1).$$

Which one is correct? Am I making some mistake?

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