A study on some approximations on the average number of the LLL bases in higher dimensions
Number Theory
2022-03-18 v1
Abstract
There is a result related to the average number of the -LLL bases in dimension in theoretical sense but the formula seems to be complicated and computing in high dimension takes a long time. In practical sense, we suggest some approximations which can be computed by just storing some constants and computing relatively simple exponential functions.
Cite
@article{arxiv.2203.09406,
title = {A study on some approximations on the average number of the LLL bases in higher dimensions},
author = {Jaewon Jung and Kyunghwan Song},
journal= {arXiv preprint arXiv:2203.09406},
year = {2022}
}
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14 pages