On the number of integer points in a multidimensional domain

DOI10.1515/dma-2018-0034zbMath1437.11087OpenAlexW2904922593WikidataQ128751161 ScholiaQ128751161MaRDI QIDQ1741471

Alexander S. Rybakov

Publication date: 3 May 2019

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2018-0034

zbMATH Keywords

integer latticenumber of integer pointsGaussian volume heuristic

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Diophantine inequalities (11J25)

Related Items (1)

Estimates of lengths of shortest nonzero vectors in some lattices. I

Cites Work

• Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice
• A Blichfeldt-type inequality for the surface area
• Sections of the unit ball of \(\ell ^ n_ p\)
• Linear Algebra and Geometry
• Integer Programming with a Fixed Number of Variables
• Lipschitz class, narrow class, and counting lattice points
• An Introduction to the Geometry of Numbers
• Northcott's theorem on heights II. The quadratic case
• Counting primitive points of bounded height
• On a Principle of Lipschitz
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