The distribution of smooth numbers in arithmetic progressions
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- by Antal Balog and Carl Pomerance PDF
- Proc. Amer. Math. Soc. 115 (1992), 33-43 Request permission
Abstract:
We estimate the number of integers $n$ up to $x$ in the arithmetic progression $a(\bmod q)$ with $n$ free of prime factors exceeding $y$. For a wide range of the variables $x,y,q$, and $a$ we show that this number is about $x/(q{u^u})$, where $u = \log x/\log y$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 33-43
- MSC: Primary 11N25; Secondary 11L05, 11N36
- DOI: https://doi.org/10.1090/S0002-9939-1992-1089401-4
- MathSciNet review: 1089401