Monday, May 22, 2006

Cyclotomic Integers: x + αiy

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In today's blog, I continue with a review of Harold M. Edwards' analysis of cyclotomic integers . The details for today are taken f...
Saturday, May 20, 2006

Fundamental Theorem of Algebra: The Proof

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In today's blog, I complete the proof for the Fundamental Theorem of Algebra. In my next blog, I will use this result to factor Fermat...
Friday, May 19, 2006

Fundamental Theorem of Algebra: At least one solution

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In today's blog, I continue the proof for the Fundamental Theorem of Algebra. Today, I will show the proof that all polynomials in the ...
Sunday, May 14, 2006

Fundamental Theorem of Algebra: Preliminaries

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Cyclotomic integers allow Fermat's Last Theorem to be factored in the following way: x n + y n = (x + y)(x + αy)(x + α 2 y)*...*(x +...
Saturday, May 13, 2006

Cyclotomic Integers: Factoring Fermat's Last Theorem

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Today's blog continues the discussion of Kummer's proof of Fermat's Last Theorem for regular primes . If you would like to revi...

Cyclotomic Integers: Division Algorithm

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Today's blog continues the discussion of Kummer's proof of Fermat's Last Theorem for regular primes . If you would like to revi...
Friday, May 12, 2006

Cyclotomic Integers: Units and Primes

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Today's blog continues the discussion of Kummer's proof of Fermat's Last Theorem for regular primes . If you would like to revi...
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Tuesday, May 09, 2006

Basic Properties of Cyclotomic Integers

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Today's blog continues the discussion of Kummer's proof of Fermat's Last Theorem for regular primes . If you would like to revi...