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A recurrence relation for the Li/Keiper constants in terms of the Stieltjesconstants is derived in this paper. In addition, we also report a formula forthe Stieltjes constants in terms of the higher derivatives of the Riemann zetafunction. A formula for the Stieltjes constants in terms of the (exponential)complete Bell polynomials containing the eta constants as the arguments is alsoderived.

A recurrence relation for the Li/Keiper constants in terms of the Stieltjes constants