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The irrationality exponent of an irrational p-adic number $$\xi $$ ξ , which measures the approximation rate of $$\xi $$ ξ by rational numbers, is in general very difficult to compute explicitly. In this work, we shall show that the irrationality exponents of large classes of automatic p-adic numbers and Mahler p-adic numbers (which are transcendental) are exactly equal to 2. Our...
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