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B. Andrásfai 《Acta Mathematica Hungarica》1962,13(3-4):443-455
Ohne Zusammenfassung
Vorgelegt von
P. Erds
Professor
Tibor Gallai
zum 50. Geburtstag hochachtungsvoll gewidmet von seinem Schüler. 相似文献
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G. Ramharter 《Monatshefte für Mathematik》1981,92(2):143-160
For a latticeL in
n
with determinantd(L), let (L) denote the supremum of the values 2–2
V(P)/d(L), taken over theL-admissible parallelepidesP, symmetric with respect to the origin and with faces parallel to the coordinate-axes. In 1936, Mordell asked for the constants
n
= min (L) over alln-dimensional lattices. In this paper we investigate isolated minima of (L) in all over alln-dimensional lattices. In this paper we (Satz 1) and some examples are given. In particular, forn<=4, the set of lattices with isolated turns out to be dense in the space of lattices. Conversely, the set of (algebraically generated) lattices with non-isolated is dense, at least in the case of a plane (Satz 2). 相似文献
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