A variance for k-free numbers in arithmetic progressions

DOI10.1112/S0024611505015352zbMath1117.11052MaRDI QIDQ5709815

Robert C. Vaughan

Publication date: 30 November 2005

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

arithmetic progressionvariancek-free numbers

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25)

Related Items (11)

Sums of two unlike powers in arithmetic progressions ⋮ A Montgomery-Hooley theorem for sums of two cubes ⋮ A Montgomery-Hooley theorem for the number of Goldbach representations ⋮ AN AVERAGE THEOREM FOR TUPLES OF k ‐FREE NUMBERS IN ARITHMETIC PROGRESSIONS ⋮ Moments of the distribution of k$k$‐free numbers in short intervals and arithmetic progressions ⋮ RATIONAL POINTS ON THE INNER PRODUCT CONE VIA THE HYPERBOLA METHOD ⋮ A variance for \(k\)-free numbers in arithmetic progressions of given modulus ⋮ Twins of \(k\)-free numbers in arithmetic progressions ⋮ On the variance of squarefree integers in short intervals and arithmetic progressions ⋮ Squarefree numbers in arithmetic progressions ⋮ Sparse variance for \(k\)-free numbers in arithmetic progressions

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