Powerful numbers in short intervals

DOI10.1017/S0004972700037953zbMath1173.11346OpenAlexW2146940934MaRDI QIDQ4654245

Jean-Marie De Koninck, Florian Luca, Igor E. Shparlinski

Publication date: 3 March 2005

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700037953

zbMATH Keywords

squarefull numbers\(k\)-full numbersBrun sieve

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Simultaneous homogeneous approximation, linear forms (11J13) Distribution of integers with specified multiplicative constraints (11N25)

Related Items

A NOTE ON POWERFUL NUMBERS IN SHORT INTERVALS, SMOOTH SQUAREFREE AND SQUAREFULL INTEGERS IN ARITHMETIC PROGRESSIONS

Cites Work

• On the \(abc\) conjecture. II.
• Sur la proximité des nombres puissants