Algebraic integers with continued fraction expansions containing palindromes and square roots with prescribed periods

Stefano Barbero, Umberto Cerruti, Nadir Murru +1

We present a characterization of the algebraic integers with continued fraction expansions of the form $[a_0,\overline{a_1,\dots ,a_n,s}]$, where $(a_1,\dots ,a_n)$ is a pali…