Chapter

Algorithmic Number Theory

Volume 2369 of the series Lecture Notes in Computer Science pp 80-94

Date:

A Survey of Discriminant Counting

  • Henri CohenAffiliated withLaboratoire A2X, U.M.R. 5465 du C.N.R.S., Université Bordeaux I
  • , Francisco Diaz y DiazAffiliated withLaboratoire A2X, U.M.R. 5465 du C.N.R.S., Université Bordeaux I
  • , Michel OlivierAffiliated withLaboratoire A2X, U.M.R. 5465 du C.N.R.S., Université Bordeaux I

Abstract

We give a survey of known results on the asymptotic and exact enumeration of discriminants of number fields, both in the absolute and relative case. We give no proofs, and refer instead to the bibliography.