On nonary cubic forms.

DOI10.1515/crll.1988.386.32zbMath0641.10019OpenAlexW3210504125MaRDI QIDQ3781824

C. Hooley

Publication date: 1988

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002205432

zbMATH Keywords

Hasse principlecomplete exponential sumsPoisson summationcubic exponential sumsFarey dissectionspecial basisDeligne's boundsHardy-Littlewood method with the Kloosterman refinementnonsingular cubic form

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Applications of the Hardy-Littlewood method (11P55) Estimates on character sums (11L40) Global ground fields in algebraic geometry (14G25)

Related Items

Rational points on nonsingular cubic hypersurfaces ⋮ Study of rational cubic forms via the circle method [after D.R. Heath-Brown, C. Hooley, and R.C. Vaughan] ⋮ Igusa's conjecture on exponential sums modulo \(p^m\) and the local-global principle ⋮ Improvements in Birch's theorem on forms in many variables ⋮ RATIONAL CURVES ON CUBIC HYPERSURFACES OVER FINITE FIELDS ⋮ Analytic number theory. Abstracts from the workshop held November 6--12, 2022 ⋮ Representation of integers by a family of cubic forms ⋮ Cubic Diophantine inequalities for split forms ⋮ Quantitative results on Diophantine equations in many variables ⋮ On Weyl's inequality, Hua's lemma, and exponential sums over binary forms. ⋮ Cubic forms in 14 variables ⋮ On octonary cubic forms: II ⋮ On nonary cubic forms: II. ⋮ SARNAK'S SATURATION PROBLEM FOR COMPLETE INTERSECTIONS ⋮ Higher order divisor problems ⋮ Representation of squares by nonsingular cubic forms ⋮ The arithmetic of rational varieties ⋮ Contributions to algebraic number theory from India : from independence to late 90's ⋮ THE QUADRATIC FORM IN NINE PRIME VARIABLES ⋮ Rational points on linear slices of diagonal hypersurfaces ⋮ On octonary cubic forms ⋮ Rational points on cubic hypersurfaces over \(\mathbb F_q(t)\)

This page was built for publication: On nonary cubic forms.