Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595480 | Journal of Number Theory | 2008 | 12 Pages |
Abstract
We prove a new bound on the product of the nth successive minimum of an automorphism of GL(N,kA) and the (N−n+1)th successive minimum of its dual, extending a classical inequality of K. Mahler for polar lattices to the geometry of numbers over the adèles. As a corollary we derive the Absolute Siegel's Lemma in as stated by D. Roy and J.L. Thunder.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory