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- W2477857434 abstract "Let $F$ be a family of $r$ integral forms of degree $kgeq 2$ and $LL=(l_1,ldots,l_m)$ be a family of pairwise linearly independent linear forms in $n$ variables $x=(x_1,...,x_n)$. We study the number of solutions $xin[1,N]^n$ to the diophantine system $F(x)=vv$ under the restriction that $l_i(x)$ has a bounded number of factors for each $1leq ileq m$. We show that the system $F$ have the expected number of such almost prime solutions under similar conditions as was established for existence of integer solutions by Birch." @default.
- W2477857434 created "2016-08-23" @default.
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- W2477857434 date "2016-07-19" @default.
- W2477857434 modified "2023-09-23" @default.
- W2477857434 title "Almost prime solutions to diophantine systems of high rank" @default.
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- W2477857434 hasPublicationYear "2016" @default.
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