Revisiting Euler's theorem on odd perfect numbers

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Revisiting Euler's theorem on odd perfect numbers

M. A. Nyblom-2014-01-01-RMIT Research Repository (RMIT University Library)

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TL;DRAbstract

A slightly alternative proof is presented which establishes a classic result of Euler on odd perfect numbers. The argument depends on nothing more than a simple factorization of polynomials of the form 1 + p + Â... + pn, together with some elementary algebraic identities.

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A slightly alternative proof is presented which establishes a classic result of Euler on odd perfect numbers. The argument depends on nothing more than a simple factorization of polynomials of the form 1 + p + Â... + pn, together with some elementary algebraic identities.

Keywords

MathematicsEuler's formulaSimple (philosophy)Algebraic numberArgument (complex analysis)FactorizationPure mathematicsNothing

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