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- W2950346525 abstract "Consider the polynomial $f(x,y)=xy^k+C$ for $kgeq 2$ and any nonzero integer constant $C$. We derive an asymptotic formula for the $k$-free values of $f(x,y)$ when $x, yleq H$. We also prove a similar result for the $k$-free values of $f(p,q)$ when $p,qleq H$ are primes. The strongest tool we use is a recent generalization of the determinant method due to Reuss." @default.
- W2950346525 created "2019-06-27" @default.
- W2950346525 creator A5056478746 @default.
- W2950346525 date "2015-06-26" @default.
- W2950346525 modified "2023-09-27" @default.
- W2950346525 title "On the $k$-free values of the polynomial $xy^k+C$" @default.
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- W2950346525 hasPublicationYear "2015" @default.
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