Applications of the Quaternions to the Study of Imaginary Quadratic Ring Class Groups

Applications of the Quaternions to the Study of Imaginary Quadratic Ring Class Groups

<p>Let m = m<sub>1</sub>f<sup>2</sup> where m<sub>1</sub> is a square-free positive integer and m is congruent to 1 or 2 mod 4. A theorem of Gauss (see [5]) states that the number of ways to write m as a sum of 3 squares is 12 times the size of the ring clas...

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Bibliographic Details
Main Author: Hanlon, Philip James
Format: Others
Published: 1981
Online Access:https://thesis.library.caltech.edu/1351/4/hanlon_p_1981.pdf
Hanlon, Philip James (1981) Applications of the Quaternions to the Study of Imaginary Quadratic Ring Class Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2G8A-Y604. https://resolver.caltech.edu/CaltechETD:etd-04122004-144125 <https://resolver.caltech.edu/CaltechETD:etd-04122004-144125>

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https://thesis.library.caltech.edu/1351/4/hanlon_p_1981.pdf
Hanlon, Philip James (1981) Applications of the Quaternions to the Study of Imaginary Quadratic Ring Class Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2G8A-Y604. https://resolver.caltech.edu/CaltechETD:etd-04122004-144125 <https://resolver.caltech.edu/CaltechETD:etd-04122004-144125>

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