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Algebraic independence over p

Peter Bundschuh, Kumiko Nishioka (2004)

Journal de Théorie des Nombres de Bordeaux

Let f ( x ) be a power series n 1 ζ ( n ) x e ( n ) , where ( e ( n ) ) is a strictly increasing linear recurrence sequence of non-negative integers, and ( ζ ( n ) ) a sequence of roots of unity in ¯ p satisfying an appropriate technical condition. Then we are mainly interested in characterizing the algebraic independence over p of the elements f ( α 1 ) , ... , f ( ...

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