Publication

Upper bounds for Euclidean minima of algebraic number fields

Publications associées (27)

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be a simple linear algebraic group over an algebraically closed field

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of characteristic

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. In this thesis, we investigate closed connected reductive subgroups

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. Our ...

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Inhomogeneous minima of mixed signature lattices

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We establish an explicit upper bound for the Euclidean minimum of a number field which depends, in a precise manner, only on its discriminant and the number of real and complex embeddings. Such bounds were shown to exist by Davenport and Swinnerton-Dyer ([ ...

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