Abstract
The Stieltjes constants $\gamma_{n}(K)$ of a number field $K$ are the coefficients of the Laurent expansion of the Dedekind zeta function $\zeta_{K}(s)$ at its pole $s=1$. In this paper, we establish a similar expression of $\gamma_{n}(K)$ as Stieltjes obtained in 1885 for $\gamma_{n}(\mathbf{Q})$. We also study the signs of $\gamma_{n}(K)$.
Citation
Sumaia Saad Eddin. "The signs of the Stieltjes constants associated with the Dedekind zeta function." Proc. Japan Acad. Ser. A Math. Sci. 94 (10) 93 - 96, December 2018. https://doi.org/10.3792/pjaa.94.93
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