The purpose of the work is to tabulate the cubic number fields with discriminants between -20,000 and 0; for each field there is given: the discriminant DIS; the coefficients A, B, C of a polynomial, a zero [theta] of which generates the field; the index of the polynomial over the field, INDEX; the fundamental unit of the field [equation] the class number H; the minimum ideal norm P, required in the search for the class number. The completed table, together with computer programs used in the calculations, and one program used for checking the discriminant values, are found in the appendix to the thesis. Also a note is given of the only seven fields in the above range whose class group is not cyclic.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:704150 |
| Date | January 1971 |
| Creators | Angell, I. O. |
| Publisher | Royal Holloway, University of London |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://repository.royalholloway.ac.uk/items/04d9f754-7551-4c43-b7c5-c4d12583cc8f/1/ |
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