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2
votes
1answer
I would like use Python to verify the following identities:
$ \frac{1}{1-z} = 1 + z + z^2 + z^3 + \dots $
$ \frac{1}{1-z - z^2} = 1 + z + 2z^2 + 3z^3 + \dots $
$ q \prod_{n \geq 1} (1 - q^n)^{24} …
asked Dec 27 '13 by john mangual
0
votes
1answer
I wrote a simple script to generate random polynoimals $\displaystyle f(z)= \sum_{k=0}^N a_k \frac{z^k}{\sqrt{k!}} $ of high degree and find their roots. For more discussion on random polyomials see …
asked Dec 5 '14 by john mangual
6
votes
1answer
I would like to compute the roots of a polynomial with exponentially small coefficients.
$$ \sum_{n=0}^N a_n \frac{z^n}{\sqrt{n!}} \tag{$\ast$}$$
where $a_n$ are Normal random variables with mean $0 …
asked Feb 13 '15 by john mangual
