arXiv subjects

Emmanuel Halberstadt

Publications and source records attributed to Emmanuel Halberstadt.

2 recordsLinked to original sources

arXiv2024

Iteration of Exponentials with Sign Changes

In this paper we consider the iteration of infinitely many signed exponentials with the same base but the signs may vary. We show that for every base in an explicit interval this iteration converges for any sequence of signs and all the real numbers are possible limits. We give some more results for a base outside this interval.

math.DS↗

arXiv2018

On Abhyankar's lemma about ramification indices

We provide a simple proof of the fact that the ramification index of the compositum of two finite extensions of local fields is equal to the least common multiple of the ramification indices when at least one of the extensions is tamely ramified.

math.NT↗