Small generators of function fields
Copyright policy )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.
- Graz University of Technology Austria
function field, Arithmetic theory of algebraic function fields, Mathematics - Number Theory, Weil bounds, Heights, FOS: Mathematics, small generator, Number Theory (math.NT), 11R58 (Primary) 11G50 11R20 (Secondary)
function field, Arithmetic theory of algebraic function fields, Mathematics - Number Theory, Weil bounds, Heights, FOS: Mathematics, small generator, Number Theory (math.NT), 11R58 (Primary) 11G50 11R20 (Secondary)
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