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The Promotion Of The Gauss Theorem, Ideal For The Remaining Groups

Posted on:2006-10-21Degree:MasterType:Thesis
Country:ChinaCandidate:C Y YuFull Text:PDF
GTID:2190360185960009Subject:Number theory
Abstract/Summary:PDF Full Text Request
By using the method of algebraic number theory, we can generate Gauss' theorem to the group of residue classes mod m and receive the following conclusion:If b is the ideal of the group of residue classes mod m , then(e(2) is the number of those basis elements whose order is divided by 2).By using the above conclusion, we can prove the following congruence:e(2) is the number of those basis elements whose order is the power of 2, h is the number of elements in
Keywords/Search Tags:Group of residue classes modm, Gauss theorem, ideals relative prime to m, e(2)
PDF Full Text Request
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