An elementary approach to short interval results for \(k\)-free numbers

DOI10.1016/0022-314X(88)90018-2zbMath0652.10032OpenAlexW2088563591MaRDI QIDQ1106882

Michael Filaseta

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-314x(88)90018-2

zbMATH Keywords

short intervaldistribution of \(k\)-free integers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (4)

Starting with gaps between k-free numbers ⋮ Explicit bounds for large gaps between squarefree integers ⋮ Short interval results for squarefree numbers ⋮ The integer points close to a curve

Cites Work

• Unnamed Item
• On the difference between consecutive squarefree integers
• Power Free Values of Polynomials III
• Power free values of polynomials
• Power Free Values of Polynomials II
• An inequality for B2-sequences
• On the Gaps between Squarefree Numbers
• On the Gaps between Consecutive k -Free Integers
• On the Difference between Consecutive Squarefree Numbers
• VAN DER CORPUT'S METHOD AND THE THEORY OF EXPONENT PAIRS
• Unsolved problems in number theory

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