The divisor problem for binary cubic forms

DOI10.5802/jtnb.778zbMath1271.11091arXiv1006.3476OpenAlexW2963457017MaRDI QIDQ449712

Timothy D. Browning

Publication date: 31 August 2012

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.3476

zbMATH Keywords

cubic formdivisor functionsumlinear factorsternary additive divisor problem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Cubic and quartic Diophantine equations (11D25) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

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Cites Work

• The Manin conjecture for \(x_0y_0+\dots+x_sy_s=0\)
• On the number of rational points of bounded height on algebraic varieties
• A quadratic divisor problem
• On the Number of Rational Points of Bounded Height on Smooth Bilinear Hypersurfaces in Biprojective Space
• Le problème des diviseurs pour des formes binaires de degré 4
• Binary linear forms as sums of two squares
• On the divisor-sum problem for binary forms
• The binary additive divisor problem
• Über die Darstellungen einer Zahl als Differenz von zwei Produkten.
• On the divisor-sum problem for binary cubic forms

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