Author:
Bhargava Manjul,Shankar Arul,Wang Xiaoheng
Abstract
Abstract
We prove an improvement on Schmidt’s upper bound on the number of number fields of degree n and absolute discriminant less than X for
$6\leq n\leq 94$
. We carry this out by improving and applying a uniform bound on the number of monic integer polynomials, having bounded height and discriminant divisible by a large square, that we proved in a previous work [7].
Publisher
Cambridge University Press (CUP)
Subject
Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis
Reference18 articles.
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