On smooth square‐free numbers in arithmetic progressions
نویسندگان
چکیده
منابع مشابه
The Distribution of Smooth Numbers in Arithmetic Progressions
We say that a number n is y-smooth if all the prime factors of n lie below y. Let S(y) denote the set of all y-smooth numbers, and let S(x, y) denote the set of y-smooth numbers below x. Let Ψ(x, y) denote the number of smooth integers below x; thus Ψ(x, y) is the cardinality of S(x, y). In this note we consider the distribution of smooth numbers among arithmetic progressions a (mod q). We supp...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2020
ISSN: 0024-6107,1469-7750
DOI: 10.1112/jlms.12297