A generalization of reduced Arakelov divisors of a number field
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Let C≥ 1. Inspired by the LLL-algorithm, we define strongly C-reduced divisors of a number field F which are generalized from the concept of reduced Arakelov divisors. Moreover, we prove that strongly C-reduced Arakelov divisors still retain outstanding properties of the reduced ones: they form a finite, regularly distributed set in the Arakelov class group and the oriented Arakelov class group of F.
|Number of pages||14|
|Journal||Journal of Number Theory|
|Publication status||Published - 1 Oct 2016|
|MoE publication type||A1 Journal article-refereed|
- Arakelov class group, Arakelov divisor, C-reduced, Infrastructure, Reduced, Strongly C-reduced