Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.704150
Title: The tabulation of complex cubic fields with units and class-numbers
Author: Angell, I. O.
Awarding Body: University of London
Current Institution: Royal Holloway, University of London
Date of Award: 1971
Availability of Full Text:
Access through EThOS:
Access through Institution:
Abstract:
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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.704150  DOI: Not available
Keywords: Mathematics
Share: