About: Equivalence of Gaussian prime numbers

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Consider two Gaussian integers a and b. a=x+iy and b=c+id in the Cartesian plane. Any C=ab then C is the linear combination of (x+iy)and (−y+ix) similarly it is also a linear combination of (c+id) and (−d+ic). In general one can tell that C falls on the grid created by vector 'a' and 'ia' in Cartesian plane. Any Gaussian integer has a number of residues equal to its norm; it can be easily proved by the graphical method. Caley tables of that Gaussian prime number and its norms are equivalent. hint: prove it also by graphical method.

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rdfs:label	Equivalence of Gaussian prime numbers
rdfs:comment	Consider two Gaussian integers a and b. a=x+iy and b=c+id in the Cartesian plane. Any C=ab then C is the linear combination of (x+iy)and (−y+ix) similarly it is also a linear combination of (c+id) and (−d+ic). In general one can tell that C falls on the grid created by vector 'a' and 'ia' in Cartesian plane. Any Gaussian integer has a number of residues equal to its norm; it can be easily proved by the graphical method. Caley tables of that Gaussian prime number and its norms are equivalent. hint: prove it also by graphical method.
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Page	Equivalence of Gaussian prime numbers
substed	yes
Day	19(xsd:integer)
Month	July
Timestamp	20120719023558(xsd:double)
Year	2012(xsd:integer)
abstract	Consider two Gaussian integers a and b. a=x+iy and b=c+id in the Cartesian plane. Any C=ab then C is the linear combination of (x+iy)and (−y+ix) similarly it is also a linear combination of (c+id) and (−d+ic). In general one can tell that C falls on the grid created by vector 'a' and 'ia' in Cartesian plane. Any Gaussian integer has a number of residues equal to its norm; it can be easily proved by the graphical method. In general any Gaussian integer has number of residues equal to its norm. The Gaussian primes having their norms as a prime number can be assigned to those prime numbers (norm). Caley tables of that Gaussian prime number and its norms are equivalent. hint: prove it also by graphical method. In the sense it is a direct proof that many one dimensional properties are valid for such a Gaussian prime,isomorphism.

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