---
res:
bibo_abstract:
- Given a symmetric variety Y defined over Q and a non-zero polynomial with integer
coefficients, we use techniques from homogeneous dynamics to establish conditions
under which the polynomial can be made r-free for a Zariski dense set of integral
points on Y . We also establish an asymptotic counting formula for this set. In
the special case that Y is a quadric hypersurface, we give explicit bounds on
the size of r by combining the argument with a uniform upper bound for the density
of integral points on general affine quadrics defined over Q.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Timothy D
foaf_name: Browning, Timothy D
foaf_surname: Browning
foaf_workInfoHomepage: http://www.librecat.org/personId=35827D50-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-8314-0177
- foaf_Person:
foaf_givenName: Alexander
foaf_name: Gorodnik, Alexander
foaf_surname: Gorodnik
bibo_doi: 10.1112/plms.12030
bibo_issue: '6'
bibo_volume: 114
dct_date: 2017^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/0024-6115
dct_language: eng
dct_publisher: Wiley@
dct_title: Power-free values of polynomials on symmetric varieties@
...