See attachment. Thanks.
Last edited by bigb; Oct 26th 2008 at 06:45 PM.
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Originally Posted by bigb
Suppose that is a positive integer, and is the largest odd divisor of Show that factors as a product of irreducible polynomials.
Hint: . this is false! the correct statement is: factors as a product of irreducible polynomials, where is the number of divisors of . here is why: so we have for some
integer see that is exactly the set of those divisors of which do not divide obviously: now let be the d-th cyclotomic polynomial. then:
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