The number of extensions of a number field with fixed degree and bounded discriminant
Work
Year: 2006
Type: article
Abstract: We give an upper bound on the number of extensions of a fixed number field of prescribed degree and discriminant ≤ X; these bounds improve on work of Schmidt.We also prove various related results, suc... more
Source: Annals of Mathematics
Authors Jordan S. Ellenberg, Akshay Venkatesh
Institutions University of Wisconsin–Madison, Courant Institute of Mathematical Sciences, New York University
Cites: 20
Cited by: 79
Related to: 10
FWCI: 2.255
Citation percentile (by year/subfield): 99.97
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Sustainable Development Goal Reduced inequalities
Open Access status: bronze