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arXiv · 2402.15800

Sign sequences of log-atomic numbers

Vincent Bagayoko
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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.

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Vincent Bagayoko. 2024-02-24. Sign sequences of log-atomic numbers. https://arxiv.org/abs/2402.15800

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