The distribution of smooth numbers in arithmetic progressions

Details The distribution of smooth numbers in arithmetic progressions The distribution of smooth numbers in arithmetic progressions

2007-07-02

arxiv.org/abs/0707.0299v1

Mathematics

Number Theory

15 pages

Scientific paper

For a wide range of $x$ and $y$ we show that ${\Cal S}(x,y)$, the set of integers below $x$ composed only of prime factors below $y$, is equidistributed in the reduced residue classes $\pmod q$ for all $q

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