A well known theorem of Hurwitz states that any plane point-lattice, which has no points in the interior of the star-shaped domain |xy| ≤ 1, must have the area of its fundamental parallelogram ≥√5. In this thesis a generelization of plane point-lattices, with respect to the star-shaped domain |xy| ≤ 1, is given and it is shown that the average area ≥√5.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.123859 |
| Date | January 1952 |
| Creators | Smith, Norman Edward. |
| Contributors | Zassenhaus, H. (Supervisor) |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Doctor of Philosophy. (Department of Mathematics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 000793069, Theses scanned by McGill Library. |
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