The LLL algorithm has received a lot of attention as an effective numerical tool for preconditioning an integer least squares problem. However, the workings of the algorithm are not well understood. In this paper, we present a new way to look at the LLL reduction, which leads to a new implementation
โฆ LIBER โฆ
LLL & ABC
โ Scribed by Tim Dokchitser
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 192 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
โฆ Synopsis
This note is an observation that the LLL algorithm applied to prime powers can be used to find ''good'' examples for the ABC and Szpiro conjectures.
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