$ \definecolor{highIt}{RGB}{0, 180, 0} \newcommand{\HighLight}[1]{\textcolor{highIt}{#1}} $
  1. 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.

  2. 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 $q$".

  3. 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 $\partial$.