Suppose I have this expression: $$\prod_{n=1}^{N} (1- x^n)$$ In the expansion of the product series how to find the general formula for finding the coefficient of $x^n$ ?
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See https://math.stackexchange.com/questions/30009/what-is-prod-k-1n-1-xk – Robert Z May 09 '18 at 06:26
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@Robert Z Thanks for editing but that link doesn't help – Vijay Malya May 09 '18 at 06:29
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For suppose i have $$\prod_{n=1}^{4} (1- x^n)$$. On expanding i am getting 2 as the coefficient of $${x^5}$$. But your link doesn't give any rule to find out that value – Vijay Malya May 09 '18 at 06:31
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See this recent paper related to your problem.
Julienne Franz
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I already checked it. What went wrong? See my comment on Robert Z's post. – Vijay Malya May 09 '18 at 12:36
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Thay which u r giving is for infinite products, although i have a finite one – Vijay Malya May 09 '18 at 12:36
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I have changed the link. Kindly check it. It seems that finding the coefficient of $x^n$ is a challenging one. – Julienne Franz May 09 '18 at 14:01
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