Integral points on cubic hypersurfaces

TD Browning, DR Heath-Brown

Research output: Chapter in Book/Report/Conference proceedingChapter in a book

Abstract

Let g be a cubic polynomial with integer coefficients and n>9 variables, and assume that the congruence g=0 modulo p^k is soluble for all prime powers p^k. We show that the equation g=0 has infinitely many integer solutions when the cubic part of g defines a projective hypersurface with singular locus of dimension
Translated title of the contributionIntegral points on cubic hypersurfaces
Original languageEnglish
Title of host publicationAnalytic Number Theory: Essays in Honour of Klaus Roth
EditorsWWL Chen, WT Gowers, H Halberstam, WM Schmidt, RC Vaughan
PublisherCambridge University Press
VolumeIn Press
ISBN (Print)9780521515382
Publication statusAccepted/In press - 2007

Bibliographical note

Other identifier: 0521515386

Fingerprint Dive into the research topics of 'Integral points on cubic hypersurfaces'. Together they form a unique fingerprint.

Cite this