Abstract
The Stieltjes constants γn appear in the coefficients in the Laurent expansion of the Riemann zeta function ζ(s) about the simple pole s = 1. We present an asymptotic expansion for γn as n → ∞ based on the approach described by Knessl and Coffey [Math. Comput. 80 (2011) 379–386]. A truncated form of this expansion with explicit coefficients is also given. Numerical results are presented that illustrate the accuracy achievable with our expansion.
| Original language | English |
|---|---|
| Pages (from-to) | 707-716 |
| Number of pages | 10 |
| Journal | Mathematica Æterna |
| Volume | 5 |
| Issue number | 5 |
| Publication status | Published - 2015 |
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Paris, R. B. (2015). An asymptotic expansion for the Stieltjes constants. Mathematica Æterna, 5(5), 707-716.