Minkowsky's conjecture on the critical determinant
Copyright policy )Minkowsky's conjecture on the critical determinant
The authors investigate Minkowski's famous conjecture on the critical determinant of the domain \(| x|^ p+| y|^ p1\) with the help of a computer. They show that their computer-results support Minkowski's conjecture in particular at the critical regions \(p=1+\epsilon_ 1\) and \(p=2\pm \epsilon_ 2\) for small \(\epsilon_ 1,\epsilon_ 2>0\).
critical determinant, computer-results, Nonconvex bodies, Lattices and convex bodies (number-theoretic aspects), Software, source code, etc. for problems pertaining to number theory, Minkowski's conjecture, critical regions, Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry)
critical determinant, computer-results, Nonconvex bodies, Lattices and convex bodies (number-theoretic aspects), Software, source code, etc. for problems pertaining to number theory, Minkowski's conjecture, critical regions, Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!