Abstract
In this paper, we consider the approximation spectrum w.r.t. the field Q ( i 2 ) . The smallest limit point of this spectrum is found to be c 0 = 1.78863819 … , where c 0 belongs to a real quadratic extension of Q ( 47 ) , and a complete description of the spectrum below and slightly above c 0 is given. The result is obtained by using a continued fraction like algorithm which has the same properties as ordinary continued fractions.
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