
NON-CONVERGING CONTINUED FRACTIONS RELATED TO THE
... rational functions. This also follows from other simple observations as shown in [4] where the transcendence of both F and G is derived. Then, combining Christol’s theorem and a classical theorem of Cobham (see [2, Theorem 11.2.1]), we obtain that Fp and Gp are transcendental over Fp (X) for every p ...
... rational functions. This also follows from other simple observations as shown in [4] where the transcendence of both F and G is derived. Then, combining Christol’s theorem and a classical theorem of Cobham (see [2, Theorem 11.2.1]), we obtain that Fp and Gp are transcendental over Fp (X) for every p ...