Height zeta functions

DOI10.5802/jtnb.658zbMath1222.11085OpenAlexW2322506833MaRDI QIDQ1032666

Régis de la Bretèche

Publication date: 26 October 2009

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

Full work available at URL: https://doi.org/10.5802/jtnb.658

zbMATH Keywords

heightManin's conjecturerational pointszeta functioncubic surfacesDiophantine equations

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45) Other Dirichlet series and zeta functions (11M41) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Heights (11G50) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Modular and Shimura varieties (14G35)

Cites Work

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• Height zeta functions of toric bundles over flag varieties.
• On the divisor and circle problems
• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• Rational points of bounded height on Fano varieties
• On the number of rational points of bounded height on algebraic varieties
• Height zeta functions of toric varieties
• Height zeta functions of twisted products
• Points of bounded height, adelic topology and Tamagawa measures.
• On the distribution of points of bounded height on equivariant compactifications of vector groups.
• Number of points of bounded height on del Pezzo surfaces of degree 5
• Heights and Tamagawa measures on Fano varieties
• On Manin's conjecture for singular del Pezzo surfaces of degree 4. I
• Natural boundaries of Dirichlet series
• The density of rational points on a certain singular cubic surface
• Fonction zêta des hauteurs associée à une certaine surface cubique
• On The Meromorphy of Euler Products (I)
• The density of rational points on the cubic surface X 3 0= X 1 X 2 X 3
• Tamagawa numbers of polarized algebraic varieties
• Manin's conjecture for toric varieties
• Exponential sums and the Riemann zeta function v
• Léclaté du plan projectif en quatre points dont deux conjuguÉs
• Rational Points of Bounded Height on Compactifications of Anisotropic Tori
• The density of rational points on cubic surfaces
• On Manin's conjecture for a certain singular cubic surface
• On Manin's conjecture for singular del Pezzo surfaces of degree four, II
• Meromorphic continuation of multivariable Euler products
• UNIVERSAL TORSORS OVER DEL PEZZO SURFACES AND RATIONAL POINTS
• Manin’s and Peyre’s conjectures on rational points and adelic mixing
• Prolongements analytiques d’une classe de fonctions zêta des hauteurs et applications
• Points of bounded height on equivariant compactifications of vector groups. II
• Counting points on a toric variety

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