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Special values of derivatives of $L$-series and generalized Stieltjes constants

Special values of derivatives of $L$-series and generalized Stieltjes constants

The connection between derivatives of $L(s,f)$ for periodic arithmetical functions $f$ at $s=1$ and generalized Stieltjes constants has been noted earlier. In this paper, we utilize this link to throw light on the arithmetic nature of $L’(1,f)$ and certai