Random Diophantine inequalities of additive type

DOI10.1016/J.AIM.2012.02.004zbMath1321.11040arXiv1110.3496OpenAlexW1973395109MaRDI QIDQ411630

Rainer Dietmann, Jörg Brüdern

Publication date: 30 April 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.3496

zbMATH Keywords

Diophantine inequalitiesmetric number theoryDavenport-Heilbronn circle method

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Applications of the Hardy-Littlewood method (11P55) Diophantine inequalities (11D75) Diophantine inequalities (11J25)

Related Items (3)

Random congruences ⋮ DIOPHANTINE INEQUALITIES OF FRACTIONAL DEGREE ⋮ Averaging on thin sets of diagonal forms

Cites Work

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• Vinogradov's mean value theorem via efficient congruencing
• Counting Diophantine approximations
• Lattice point problems and distribution of values of quadratic forms
• ADDITIVE REPRESENTATION IN THIN SEQUENCES, VIII: DIOPHANTINE INEQUALITIES IN REVIEW
• Asymptotic lower bounds for Diophantine inequalities
• On Indefinite Quadratic Forms in Five Variables

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