Representation of powers by polynomials over function fields and a problem of Logic

Details Representation of powers by polynomials over function fields and a problem of Logic Representation of powers by polynomials over function fields and a problem of Logic

2011-07-20

arxiv.org/abs/1107.4019v1

Mathematics

Number Theory

Scientific paper

We solve a generalization of B\"uchi's problem in any exponent for function
fields, and briefly discuss some consequences on undecidability. This provides
the first example where this problem is solved for rings of functions in the
case of an exponent larger than 3.

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