We exhibit a family of transcendental continued fractions of formal power
series over a finite field through some specific irregularities of its
partial quotients.
The aim of this paper is to establish new transcendence criteria of p-adic
continued fractions. We prove that a p-adic number whose sequence of partial
quotients is bounded in Qp and begins with arbitrarily long palindromes is
either quadratic or transcendental.
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