Errata / Remarks
In French, a space should be placed before a colon. So, the source of the epigraph should be written as
À la recherche du temps perdu : Le Temps retrouvé.
It is also about language. To describe a positive real number, it seems that I should avoid using "real positive", as suggested by this guide. So, for example, in Theorem 1.6, instead of writting
"Let $A$ be a real positive algebraic conjugate of $q$",
I should write
"Let $A$ be a positive real algebraic conjugate of $q$".
In the thesis, more often we consider the difference of two digits, $\partial_s - \partial_t = [s;t]$, rather than a single digit $\partial_s$. A single digit is just the special case $\partial_s - \partial_0 = [s;0]$, or "partial" in this regard. This is one of the reasons for using the symbol $\partial$.