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Rational sums of inverse powers of fixed points of e
#8
jaydfox Wrote:

Argh, I made a math error. Two, in fact. The first is that I subtracted -1 from 1 and got 0, when I should have gotten 2:



Second, I incorrectly expanded an exponentiation. I didn't have paper and pencil handy to calculate, so I used Excel to get the answer by approximation. But I was subtracting the wrong set of numbers and got the wrong coefficient:



Okay, so, just to be clear, if w is a small number going to 0, then:



Fortunately, this doesn't affect my initial derivation too badly:



So I'm off by a constant factor, and I wasn't calculating the constant term anyway. So my initial result still holds.
~ Jay Daniel Fox
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RE: Rational sums of inverse powers of fixed points of e - by jaydfox - 11/21/2007, 08:14 AM

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