Zeta determinant for double sequences of spectral type
| dc.creator | Spreafico, Mauro | |
| dc.date | 2006-07-31 | |
| dc.date | 2009-05-16 | |
| dc.date.accessioned | 2026-07-07T13:15:13Z | |
| dc.date.available | 2026-07-07T13:15:13Z | |
| dc.description | We study the spectral functions, and in particular the zeta function, associated to a class of sequences of complex numbers, called of spectral type. We investigate the decomposability of the zeta function associated to a double sequence with respect to some simple sequence, and we provide a technique for obtaining the first terms in the Laurent expansion at zero of the zeta function associated to a double sequence. We particularize this technique to the case of sums of sequences of spectral type, and we give two applications: the first concerning some special functions appearing in number theory, and the second the functional determinant of the Laplace operator on a product space. | |
| dc.identifier | https://arxiv.org/abs/math/0607816 | |
| dc.identifier | http://arxiv.org/abs/math/0607816 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230410 | |
| dc.subject | Differential Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 11M41, 11M36: 58J99 | |
| dc.title | Zeta determinant for double sequences of spectral type | |
| dc.type | text |