CONSECUTIVE SQUARE-FREE NUMBERS OF THE FORM [nc], [nc] + 1

DOI10.17654/NT040060945zbMath1417.11145WikidataQ114049261 ScholiaQ114049261MaRDI QIDQ5229618

Stoyan Ivanov Dimitrov

Publication date: 16 August 2019

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic formulasquare-free numbers

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25)

Related Items (3)

On the number of pairs of positive integers $x, y \leq H$ such that $x^2+y^2+1$, $x^2+y^2+2$ are square-free ⋮ Pairs of square-free values of the type $n^2+1$, $n^2+2$ ⋮ Consecutive square-free numbers and square-free primitive roots

Cites Work

• Unnamed Item
• The square sieve and consecutive square-free numbers
• Remark on a paper of Stux concerning squarefree numbers in non-linear sequences
• The distribution of square-free numbers of the form \([n^c\)]
• Three-dimensional exponential sums with monomials
• Some extremal functions in Fourier analysis
• Multiple exponential sums with monomials
• ON A PROBLEM IN ADDITIVE ARITHMETIC (II)

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