Some new results on \(k\)-free numbers

DOI10.1016/j.jnt.2006.01.010zbMath1171.11324OpenAlexW2063586323MaRDI QIDQ863330

Zaizhao Meng

Publication date: 26 January 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.01.010

Mathematics Subject Classification ID

Primes in congruence classes (11N13) Distribution of integers with specified multiplicative constraints (11N25) Factorization; primality (11A51)

Related Items (4)

Moments of moments of primes in arithmetic progressions ⋮ THE DISTRIBUTION OF r-FREE NUMBERS IN ARITHMETIC PROGRESSIONS ⋮ Twins of \(k\)-free numbers in arithmetic progressions ⋮ On the distribution of \(r\)-tuples of \(k\)-free numbers

Cites Work

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• On a variance associated with the distribution of general sequences in arithmetic progressions. II
• On the Barban-Davenport-Halberstam theorem: XIII
• Über die kleinsten quadratfreien Zahlen in arithmetischen Progressionen mit primen Differenzen.
• NOTE ON AN ASYMPTOTIC FORMULA CONNECTED WITH r-FREE INTEGERS
• THE MEAN-VALUES OF ARITHMETICAL FUNCTIONS
• On the frequency of pairs of square-free numbers with a given difference

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