Victor Alexandru, Cosmin Constantin Nitu and Marian Vâjâitu: On the norm of the trace functions and applications, p.47-54

Abstract:

Given a prime number $p$ and the Galois orbit $O(x)$ of a transcendental element $x$ of C_p, the topological completion of the algebraic closure of the field of $p$-adic numbers, we give an estimation for the norm of the trace functions defined on the complement of $O(x)$ with values in C_p. Then we give some applications to transcendental functions.

Key Words: p-adic analytic functions, local fields, Galois orbits, distributions.

2000 Mathematics Subject Classification: Primary: 11S99;
Secondary: 11S80.

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