Consecutive square-free values of the type $x^2+y^2+z^2+k$, $x^2+y^2+z^2+k+1$
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Publication:5878431
DOI10.21136/CMJ.2022.0154-22MaRDI QIDQ5878431
Publication date: 21 February 2023
Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)
Asymptotic results on arithmetic functions (11N37) Gauss and Kloosterman sums; generalizations (11L05) Estimates on character sums (11L40)
Cites Work
- The first moment of Salié sums
- On the number of pairs of positive integers \(x,y \leq H\) such that \(x^2+y^2+1\) is squarefree
- The square sieve and consecutive square-free numbers
- On the square-free values of the polynomial \(x^2 + y^2 + z^2 + k\)
- A New Application of the Hardy-Littlewood-Kloosterman Method
- 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
- ON A PROBLEM IN ADDITIVE ARITHMETIC (II)
- Pairs of square-free values of the type $n^2+1$, $n^2+2$
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