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On p-adic analytic continuation with applications to generating elements
- Part of
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- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 59 / Issue 1 / February 2016
- Published online by Cambridge University Press:
- 10 June 2015, pp. 1-10
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Given a prime number p and the Galois orbit O(T) of an integral transcendental element T of
, the topological completion of the algebraic closure of the field of p-adic numbers, we study the p-adic analytic continuation around O(T) of functions defined by limits of sequences of restricted power series with p-adic integer coefficients. We also investigate applications to generating elements for or for some classes of closed subfields of .
, the topological completion of the algebraic closure of the field of 