Manin's and Peyre's conjectures on rational points and adelic mixing
| dc.creator | Gorodnik, Alex | |
| dc.creator | Maucourant, Francois | |
| dc.creator | Oh, Hee | |
| dc.date | 2006-01-06 | |
| dc.date | 2008-02-12 | |
| dc.date.accessioned | 2026-07-07T09:20:00Z | |
| dc.date.available | 2026-07-07T09:20:00Z | |
| dc.description | Let X be the wonderful compactification of a connected adjoint semisimple group G defined over a number field K. We prove Manin's conjecture on the asymptotic (as T\to \infty) of the number of K-rational points of X of height less than T, and give an explicit construction of a measure on X(A), generalizing Peyre's measure, which describes the asymptotic distribution of the rational points G(K) on X(A). Our approach is based on the mixing property of L^2(G(K)\G(A)) which we obtain with a rate of convergence. | |
| dc.description | to appear in Ann. Sci. Ecole Norm. Sup | |
| dc.identifier | https://arxiv.org/abs/math/0601127 | |
| dc.identifier | http://arxiv.org/abs/math/0601127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154596 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 11D45; 11G50; 11F70; 14G25; 22E55 | |
| dc.title | Manin's and Peyre's conjectures on rational points and adelic mixing | |
| dc.type | text |