Series of zeta values, the Stieltjes constants, and a sum S_γ(n)
| dc.creator | Coffey, Mark W. | |
| dc.date | 2007-06-03 | |
| dc.date | 2009-02-25 | |
| dc.date.accessioned | 2026-07-07T12:45:59Z | |
| dc.date.available | 2026-07-07T12:45:59Z | |
| dc.description | We present a variety of series representations of the Stieltjes and related constants, the Stieltjes constants being the coefficients of the Laurent expansion of the Hurwitz zeta function zeta(s,a) about s=1. Additionally we obtain series and integral representations of a sum S_γ(n) formed as an alternating binomial series from the Stieltjes constants. The slowly varying sum S_γ(n)+n is an important subsum in application of the Li criterion for the Riemann hypothesis. | |
| dc.description | 33 pages, no figures. Prop. 1(b) typos fixed and proof elaborated. New section with Corollary 1 added. Minor updates | |
| dc.identifier | https://arxiv.org/abs/0706.0345 | |
| dc.identifier | http://arxiv.org/abs/0706.0345 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221232 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 11M06, 11M35, 33B15 | |
| dc.title | Series of zeta values, the Stieltjes constants, and a sum S_γ(n) | |
| dc.type | text |