Abstract
We shall consider arithmetical properties of the q-continued fractions K n = 1 ∞ q s n ( S 0 + S 1 q n + ⋯ + S h q h n ) T 0 + T 1 q n + ⋯ + T l q l n , S i , T i , q ∈ K , | q | v < 1 , and some related continued fractions where v is a fixed valuation of an algebraic number field K and s , h , l ∈ N . In particular, we get sharp irrationality measures for certain Ramanujan, Ramanujan–Selberg, Eisenstein and Tasoev continued fractions.
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