On the geometry of numbers of non-convex star-regions with hexagonal symmetry

Bambah, R. P. (1951) On the geometry of numbers of non-convex star-regions with hexagonal symmetry Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, 243 (869). pp. 431-462. ISSN 1364-503X

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Official URL: http://rsta.royalsocietypublishing.org/content/243...

Related URL: http://dx.doi.org/10.1098/rsta.1951.0008

Abstract

A method of Mordell is applied to the study of critical determinants and critical lattices of a type of two-dimensional star-domains which can be roughly described as that of regions similar to |r3 sin 3θ| ≤8c3. In part I three general theorems are proved. They are applied in part II to obtain the critical determinants and all the critical lattices of some special regions of this type.

Item Type:Article
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ID Code:71970
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