Fonction zêta des hauteurs associée à une certaine surface cubique

DOI10.24033/bsmf.2526zbMath1207.11068OpenAlexW2510067453MaRDI QIDQ3535768

Régis de la Bretèche, H. P. F. Swinnerton-Dyer

Publication date: 14 November 2008

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/135/html/smf_bull_135_65-92.html

zbMATH Keywords

Manin's conjecturecubic surfacesRiemann's hypothesisPerron's formulanatural boundary

Mathematics Subject Classification ID

Rational points (14G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Varieties over global fields (11G35)

Related Items (5)

Manin's conjecture for a cubic surface with 2A₂ + A₁ singularity type ⋮ On a certain non-split cubic surface ⋮ The maximal domain of meromorphic continuation of a Dirichlet series ⋮ Height zeta functions ⋮ Extension of Estermann’s theorem to Euler products associated to a multivariate polynomial

Cites Work

• On Manin's conjecture for singular del Pezzo surfaces of degree 4. I
• The density of rational points on the cubic surface X 3 0= X 1 X 2 X 3
• On Manin's conjecture for a certain singular cubic surface
• On Manin's conjecture for singular del Pezzo surfaces of degree four, II
• Prolongements analytiques d’une classe de fonctions zêta des hauteurs et applications
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