A finite analogue of the ring of algebraic numbers

Abstract

We construct an analogue of the ring of algebraic numbers, living in a quotient of the product of all finite fields of prime order. We use this ring to deduce some results about linear recurrent sequences.

11 pages, comments are welcome

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Cited by in corpus (2)

• An induction property for prime counting functions
• Irrationality and transcendence questions in the "poor man's adèle ring"