What is the Probability that a Random Integral Quadratic Form innVariables has an Integral Zero?

DOI10.1093/imrn/rnv251zbMath1404.11035arXiv1502.05992OpenAlexW2114554625MaRDI QIDQ4560456

Jonathan P. Keating, Manjul Bhargava, Nick G. Jones, Tom A. Fisher, John E. Cremona

Publication date: 12 December 2018

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05992

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Asymptotic results on counting functions for algebraic and topological structures (11N45) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12) Quadratic forms over local rings and fields (11E08)

Related Items (8)

On the probability of positive-definiteness in the gGUE via semi-classical Laguerre polynomials ⋮ The density of polynomials of degree n$n$ over Zp${\mathbb {Z}}_p$ having exactly r$r$ roots in Qp${\mathbb {Q}}_p$ ⋮ On the distribution of equivalence classes of random symmetric p‐adic matrices ⋮ Most binary forms come from a pencil of quadrics ⋮ Everywhere local solubility for hypersurfaces in products of projective spaces ⋮ How to calculate the proportion of everywhere locally soluble diagonal hypersurfaces ⋮ Fibrations with few rational points ⋮ The proportion of genus one curves over ℚ defined by a binary quartic that everywhere locally have a point

This page was built for publication: What is the Probability that a Random Integral Quadratic Form innVariables has an Integral Zero?