On square-full numbers in short intervals

DOI10.1007/BF02107593zbMath0708.11044OpenAlexW1508360945MaRDI QIDQ3490088

Hongquan Liu

Publication date: 1990

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02107593

zbMATH Keywords

asymptotic formulasquarefull numbersexponent pairtwo dimensional exponential sums

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (5)

Square-full numbers in short intervals ⋮ On the distribution of square-full and cube-full numbers ⋮ Starting with gaps between k-free numbers ⋮ On a Diophantine inequality over primes ⋮ Cube-full numbers in short intervals

Cites Work

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• The Pjateckii-Sapiro prime number theorem
• On the order of the error function of the square-full integers
• On square-full integers in a short interval
• On the number of Abelian groups of a given order
• VAN DER CORPUT'S METHOD AND THE THEORY OF EXPONENT PAIRS
• On a theorem of Erdős and Szekeres

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