On conjectures of Minkowski and Woods for \(n=10\)

DOI10.1007/s12044-022-00679-2zbMath1493.11104arXiv2009.09992OpenAlexW4285588893WikidataQ123314808 ScholiaQ123314808MaRDI QIDQ2168669

Leetika Kathuria, Madhu Raka

Publication date: 26 August 2022

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09992

zbMATH Keywords

latticecoveringnon-homogeneouscritical determinantproduct of linear forms

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Lattice packing and covering (number-theoretic aspects) (11H31) Products of linear forms (11H46) Inhomogeneous linear forms (11J20)

Cites Work

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• On a question of Uri Shapira and Barak Weiss
• On conjectures of Minkowski and Woods for \(n = 9\)
• Stable lattices and the diagonal group
• On conjectures of Minkowski and Woods for \(n=7\)
• Minkowski's conjecture for \(n=5\); a theorem of Skubenko
• On a theorem of Dyson
• New upper bounds on sphere packings. I
• The minimum values of positive quadratic forms in six, seven and eight variables
• Counterexamples to a conjecture of Woods
• Covering six space with spheres
• On conjectures of Minkowski and Woods for n=8
• On the inhomogeneous minimum of the product of n linear forms
• Minkowski’s conjecture, well-rounded lattices and topological dimension
• Refined Estimates on Conjectures of Woods and Minkowski
• Convex and Discrete Geometry
• New Korkin–Zolotarev Inequalities
• The densest double lattice packing of four‐spheres
• Lattice coverings of five space by spheres

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