Sign sequences of log-atomic numbers
Logic
2024-02-27 v1
Abstract
Log-atomic numbers are surreal numbers whose iterated logarithms are monomials, and consequently have a trivial expansion as transseries. Presenting surreal numbers as sign sequences, we give the sign sequence formula for log-atomic numbers. To that efect, we relate log-atomic numbers to fixed-points of certain surreal functions.
Keywords
Cite
@article{arxiv.2402.15800,
title = {Sign sequences of log-atomic numbers},
author = {Vincent Bagayoko},
journal= {arXiv preprint arXiv:2402.15800},
year = {2024}
}
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17 pages