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Estimate for products of integers that are relatively prime with $N$
Let $N$ be a positive integer. Are there known estimates for the product of all numbers that are smaller than $N$ and relatively prime with $N$? One can assume that $N$ is free of squares, if this hel …
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Estimate for products of integers that are relatively prime with $N$
To get the asymptotic, one can replace the factorial in the exact formula by the Stirling formula. Then the desired quantity can be estimated as follows:
$$
c\cdot A_N\le (\dots)\le C\cdot A_N
$$
with …