Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
You are not logged in.
Post a reply
Topic review (newest first)
I don't follow... how will curve fitting help you factorise a^6 + 8b^6 for example?
What is that method?
There is a general method for all types of problems like this one.
I read the Wolfram article again and looked at (21), (22) and (23), I can see where you got the factors from now. So cyclotomic polynomials cannot be used for this particular problem because of the two variables?
But how is the Sophie Germain identity generated from cyclotomic polynomials? I can sort of see where you are getting your x^18 - 1 from (the factors are all cyclotomic polynomials) but how do I then get that into a useful form, such as your a^6 + 8b^6 example?
Me neither but you try to get yours into one of the forms.
I am able to generate them, but I'm not sure how I can use them here?
Looks like the absence of the comma is indicating that it's not restricted to the primitive roots of unity. Not sure how they differ to ordinary roots of unity, so will check the other article out.
What did you develop the software in?
Never mind, I understand it now! Was just confused what to do for the value of n in my roots of unity, then just realised you're using it in (1).
The very first line (1), what does the apostrophe/comma on top of the product symbol mean? Is that an error or does it mean something different?