Submission date: 24 February 2024

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.

Mathematics Subject Classification:

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Full text arXiv 2402.15800: pdf, ps.