Solutions of a Linear Equation in a Subgroup of Units in a Function Field

Details Solutions of a Linear Equation in a Subgroup of Units in a Function Field Solutions of a Linear Equation in a Subgroup of Units in a Function Field

2011-01-16

arxiv.org/abs/1101.3045v2

Mathematics

Number Theory

7 pages

Scientific paper

Over a large class of function fields, we show that the solutions of some
linear equations in the topological closure of a certain subgroup of the group
of units in the function field are exactly the solutions that are already in
the subgroup. This result solves some cases of the function field analog of an
old conjecture proposed by Skolem.

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