Small generators of function fields

Details Small generators of function fields Small generators of function fields

2012-04-18

arxiv.org/abs/1204.4158v1

J. Theor. Nombres Bordeaux 22, (2010), no. 3, 544-551

Mathematics

Number Theory

Scientific paper

10.5802/jtnb.744

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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