1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.LO2024
Sign sequences of log-atomic numbers
Vincent Bagayoko
Log-atomic numbers are surreal numbers whose iterated logarithms are monomials, and consequently have a trivial expansion as transseries. Presenting surreal numbers as sign sequenc…
math.LO2023
Surreal numbers as hyperseries
Vincent Bagayoko, Joris van der Hoeven
Surreal numbers form the ultimate extension of the field of real numbers with infinitely large and small quantities and in particular with all ordinal numbers. Hyperseries can be r…
math.LO2023★ 1 cited
The hyperserial field of surreal numbers
Vincent Bagayoko, Joris van der Hoeven
For any ordinal , we show how to define a hyperexponential and a hyperlogarithm on the class of positive infinitely large surreal…