No abstract

In the present paper, we first generalize some convergence results for continued fractions given in real domain and p-adic domain. However, we prove the transcendence of a p-adic number given by it's Schneider continued fractions, such that the sequence of partial quotients is a Thue-Morse sequence.

In this paper, we study the complexity of p-adic continued fractions of a rational number, which is the p-adic analogue of the theorem of Lamé. We calculate the length of Browkin expansion, and the length of Schneider expansion. Also, some numerical examples have been given.