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Counting points of fixed degree and bounded height

Martin Widmer — 2009

Acta Arithmetica

Small generators of function fields

Martin Widmer — 2010

Journal de Théorie des Nombres de Bordeaux

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.

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