Legendre's Theorem in Z[i] and in Z[w]

碩士 === 國立中央大學 === 數學研究所 === 92 === This thesis studies the Diophantine equation egin {eqnarray*} ax^{2}+by^{2}+cz^{2}=0, end {eqnarray*} which was investigated by Legendre when the coefficients are rational integers. Without loss of generality, we may assume that $a,b,c$ are nonzero integers, squar...

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Bibliographic Details
Main Authors: Po-Ju Shih, 施柏如
Other Authors: Liang-Chung Hsia
Format: Others
Language:en_US
Published: 2004
Online Access:http://ndltd.ncl.edu.tw/handle/66621790256839342117