Counting Lattice Points and O-Minimal Structures

DOI10.1093/imrn/rnt102zbMath1315.11056arXiv1210.5943OpenAlexW2075406325MaRDI QIDQ2927901

Fabrizio Barroero, Martin Widmer

Publication date: 5 November 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5943

zbMATH Keywords

latticelattice pointsfibersO-minimal structuresdefinable families

Mathematics Subject Classification ID

Lattice points in specified regions (11P21) Minima of forms (11H50) Model theory of ordered structures; o-minimality (03C64)

Related Items (16)

WEAK ADMISSIBILITY, PRIMITIVITY, O‐MINIMALITY, AND DIOPHANTINE APPROXIMATION ⋮ Slicing the stars: counting algebraic numbers, integers, and units by degree and height ⋮ Algebraic S-integers of fixed degree and bounded height ⋮ Arithmetic statistics of Prym surfaces ⋮ Counting algebraic integers of fixed degree and bounded height ⋮ Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture ⋮ The Hasse principle for random Fano hypersurfaces ⋮ The split torsor method for Manin’s conjecture ⋮ Counting degenerate polynomials of fixed degree and bounded height ⋮ Joint distribution of conjugate algebraic numbers: a random polynomial approach ⋮ On the frequency of height values ⋮ Distribution of real algebraic integers ⋮ On the torsion values for sections of an elliptic scheme ⋮ On the arithmetic of simple singularities of type \(E\) ⋮ Higher-rank Bohr sets and multiplicative diophantine approximation ⋮ Large families of elliptic curves ordered by conductor

This page was built for publication: Counting Lattice Points and O-Minimal Structures