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arXiv · 0902.1691

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

Donal F. Connon
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Abstract

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

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Donal F. Connon. 2009-02-10. A recurrence relation for the Li/Keiper constants in terms of the Stieltjes constants. https://arxiv.org/abs/0902.1691

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