We know it converges for any prime $p$. I just want to know how to compute its exact value:
$$\prod\_{n=1}^{\infty} (1-p^{-n})$$



How to compute $\prod_{n=1}^{\infty} (1-p^{-n})$
Wolfram MathWorld gives the expression of this product in terms of the q-Pochhammer symbol and the Jacobi theta function. See formulas (46) and (47) in


<https://mathworld.wolfram.com/InfiniteProduct.html>


