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- W2073616076 abstract "We call an integer semismooth with respect to $y$ and $z$ if each of its prime factors is $le y$, and all but one are $le z$. Such numbers are useful in various factoring algorithms, including the quadratic sieve. Let $G(alpha ,beta )$ be the asymptotic probability that a random integer $n$ is semismooth with respect to $n^beta$ and $n^alpha$. We present new recurrence relations for $G$ and related functions. We then give numerical methods for computing $G$, tables of $G$, and estimates for the error incurred by this asymptotic approximation." @default.
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- W2073616076 date "1996-01-01" @default.
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- W2073616076 title "Asymptotic semismoothness probabilities" @default.
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- W2073616076 doi "https://doi.org/10.1090/s0025-5718-96-00775-2" @default.
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