A q-analog of Euler's decomposition formula for the double zeta function
| dc.creator | Bradley, David M. | |
| dc.date | 2005-01-31 | |
| dc.date.accessioned | 2026-07-07T08:06:41Z | |
| dc.date.available | 2026-07-07T08:06:41Z | |
| dc.description | The double zeta function was first studied by Euler in response to a letter from Goldbach in 1742. One of Euler's results for this function is a decomposition formula, which expresses the product of two values of the Riemann zeta function as a finite sum of double zeta values involving binomial coefficients. In this note, we establish a q-analog of Euler's decomposition formula. More specifically, we show that Euler's decomposition formula can be extended to what might be referred to as a ``double q-zeta function'' in such a way that Euler's formula is recovered in the limit as q tends to 1. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0502002 | |
| dc.identifier | http://arxiv.org/abs/math/0502002 | |
| dc.identifier | International Journal of Mathematics and Mathematical Sciences, 2005:21 (2005), pp. 3453--3458. MR2206867 (2006k:11174) | |
| dc.identifier | doi:10.1155/IJMMS.2005.3453 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130690 | |
| dc.subject | Number Theory | |
| dc.subject | 11M41 | |
| dc.title | A q-analog of Euler's decomposition formula for the double zeta function | |
| dc.type | text |