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Small generators of function fields

Let $K/k$ be a finite extension of a global field. Such an extension can be generated over $k$ by a single element. The aim of this article is to prove the existence of a "small" generator in the function field case. This answers the function field version of a question of Ruppert on small generators of number fields.

preprint2012arXivOpen access
Martin Widmer
math.NT
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Martin Widmer

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