On the error term in Weyl's law for the Heisenberg manifolds
| dc.creator | Zhai, Wenguang | |
| dc.date | 2008-05-26 | |
| dc.date.accessioned | 2026-07-07T09:40:53Z | |
| dc.date.available | 2026-07-07T09:40:53Z | |
| dc.description | For a fixed integer $l\geq 1$, let $R(t)$ denote the error term in the Weyl's law of a $(2l+1)$-dimensional Heisenberg manifold with the metric $g_l.$ In this paper we shall prove the asymptotic formula of the $k$-th power moment for any integers $3\leq k\leq 9.$ We shall also prove that the function $t^{-(l-1/4)}R(t)$ has a distribution function. | |
| dc.description | 45 Pages | |
| dc.identifier | https://arxiv.org/abs/0805.3856 | |
| dc.identifier | http://arxiv.org/abs/0805.3856 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161632 | |
| dc.subject | Optimization and Control | |
| dc.subject | 11N37, 35P20, 58J50 | |
| dc.title | On the error term in Weyl's law for the Heisenberg manifolds | |
| dc.type | text |