3 problems

Let $k$ be a positive integer and $1\leq j\leq k+1$. For an irrational number $\zeta$ in the Cantor middle-third set, let $\lambda_{k,j}(\zeta)$ denote the $j$-th approximation con…

Let $k$ be a positive integer and $1\leq j\leq k+1$. For a real number $\zeta$ not algebraic of degree at most $k$, let $\lambda_{k,j}(\zeta)$ denote the $j$-th approximation const…

Let $k$ be a positive integer. For a real number $zeta$ not algebraic of degree at most $k$, let $lambda_{k,1}(zeta)$ denote its first approximation constant for the vector…