Height zeta functions on generalized projective toric varieties

DOI10.1090/conm/566/11216zbMath1279.11068OpenAlexW2901902369MaRDI QIDQ2918492

Driss Essouabri

Publication date: 6 October 2012

Published in: Zeta Functions in Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/566/11216

zbMATH Keywords

toric varietiesrational pointsNewton polyhedronheightsconvex analysisMellin's transformmulitple Dirichlet series

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Counting solutions of Diophantine equations (11D45) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Varieties over global fields (11G35) Heights (11G50) Lattice points in specified regions (11P21) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

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The second and fourth moments of theta functions at their central point ⋮ A survey on the theory of multiple Dirichlet series with arithmetical coefficients as numerators ⋮ Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function

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