Minkowski's conjecture for \(n=5\); a theorem of Skubenko

DOI10.1016/0022-314X(80)90070-0zbMath0426.10030WikidataQ122872759 ScholiaQ122872759MaRDI QIDQ1135880

R. P. Bambah, A. C. Woods

Publication date: 1980

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Minkowski's conjectureSkubenko's theorem

Mathematics Subject Classification ID

Lattice packing and covering (number-theoretic aspects) (11H31) Products of linear forms (11H46) Nonconvex bodies (11H16)

Related Items (8)

Using a computer to obtain Chebotarev bounds in the nonhomogeneous Minkowski's conjecture ⋮ On conjectures of Minkowski and Woods for \(n=10\) ⋮ Estimates on conjectures of Minkowski and Woods ⋮ Minkowski’s conjecture, well-rounded lattices and topological dimension ⋮ On conjectures of Minkowski and Woods for \(n=7\) ⋮ Contributions to algebraic number theory from India : from independence to late 90's ⋮ Estimates of the nonhomogeneous arithmetic minimum of the product of linear forms ⋮ A refinement of the estimates of the arithmetic minimum of the product of nonhomogeneous linear forms for large dimensions

Cites Work

• On a theorem of Dyson
• A proof of Minkowski's conjecture on the product of \(n\) linear inhomogeneous forms in \(n\) variables for \(n\le 5\)
• On the product of four non-homogeneous linear forms
• On the inhomogeneous minimum of the product of n linear forms
• Lattice coverings of five space by spheres

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