On the number of integral quadratic polynomials with bounded heights and discriminants

2013/08/09 by F. Götze, Friedrich Götze, D. Kaliada +6 · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Analytic and geometric function theory #math.NT #msc:11J25 #msc:11J83

paper · pdf · doi:10.48550/arxiv.1308.2091

14 pages, in Russian

arxiv created 2013/08/09 · arxiv updated 2013/08/12

Abstract

In the paper we obtain the asymtotic number of integral quadratic polynomials with bounded heights and discriminants as the upper bound of heights tends to infinity.

Cited by

• On the distribution of polynomial discriminants: totally real case

Related

• Integral polynomials with small discriminants and resultants
• On the distribution of polynomial discriminants: totally real case
• Discriminants of Fields Generated by Polynomials of Given Height
• Counting solutions to quadratic polynomials
• Counting polynomials with positive roots