The tabulation of complex cubic fields with units and class-numbers

Angell, I. O.

(1971)

Angell, I. O. (1971) The tabulation of complex cubic fields with units and class-numbers.

Our Full Text Deposits

Full text access: Open

10096770.pdf - 3.91 MB

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.

Information about this Version

This is a Accepted version
This version's date is: 1971
This item is not peer reviewed

Link to this Version

https://repository.royalholloway.ac.uk/items/04d9f754-7551-4c43-b7c5-c4d12583cc8f/1/

Item TypeThesis (Doctoral)
TitleThe tabulation of complex cubic fields with units and class-numbers
AuthorsAngell, I. O.
Uncontrolled KeywordsMathematics; Pure Sciences; Class; Complex; Cubic; Cubic Number Fields; Cubic Number Fields; Fields; Numbers; Tabulation; Units
Departments

Identifiers

ISBN978-1-339-60875-4

Deposited by David Morgan (UBYL020) on 01-Feb-2017 in Royal Holloway Research Online.Last modified on 01-Feb-2017

Notes

Digitised in partnership with ProQuest, 2015-2016. Institution: University of London, Royal Holloway College (United Kingdom).


Details