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math.NT2016
Symbolic Integration in Prime Characteristic
Bill Allombert
In this paper we study elementary extensions of differential fields in prime characteristic. In particular, we show that, in contrast to Liouville's result in characteristic zero,…
math.NT2016
On a two-valued sequence and related continued fractions in power series fields
Bill Allombert, Nicolas Brisebarre, Alain Lasjaunias
We explicitly describe a noteworthy transcendental continued fraction in the field of power series over Q, having irrationality measure equal to 3. This continued fraction is a gen…