The distribution of r-free numbers in arithmetic progressions
classification
🧮 math.NT
keywords
r-freearithmeticnumbersprogressionsbombieri-vinogradovboundcalleddistribution
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A positive integer n is called r-free if n is not divisible by the r-th power of a prime. Generalizing earlier work of Orr, we provide an upper bound of Bombieri-Vinogradov type for the r-free numbers in arithmetic progressions.
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