The number of extensions of a number field with fixed degree and bounded discriminant
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Publication:2500440
DOI10.4007/ANNALS.2006.163.723zbMATH Open1099.11068arXivmath/0309153OpenAlexW2124624829MaRDI QIDQ2500440
Author name not available (Why is that?)
Publication date: 24 August 2006
Published in: (Search for Journal in Brave)
Abstract: We give an upper bound on the number of extensions of a fixed number field of prescribed degree and discriminant less than X; these bounds improve on work of Schmidt. We also prove various related results, such as lower bounds for the number of extensions and upper bounds for Galois extensions.
Full work available at URL: https://arxiv.org/abs/math/0309153
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