An analogue of the Korkin-Zolotarev lattice reduction for vector spaces over number fields
We show the existence of a basis for a vector space over a number field with two key properties. First, the n-th basis vector has a small twisted height which is bounded above by a quantity involving the n-th successive minima associated with the twisted height. Second, at each place v of the numb...
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| Format: | Others |
| Language: | English |
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2010
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| Online Access: | http://hdl.handle.net/2152/ETD-UT-2010-08-1834 |