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- W2524965446 abstract "Let $P^+(n)$ denote the largest prime of the integer $n$. Using the begin{align*}Psi_{F_1cdots F_t}left(mathcal{K}cap[-N,N]^d,N^{1/u}right):=#left{mathcal{K}in {mathbf{N}}cap[-N,N]^d:vphantom{P^+(F_1(boldsymbol{n})cdots F_t(boldsymbol{n}))leq N^{1/u}}right.left.P^+(F_1(boldsymbol{n})cdots F_t(boldsymbol{n}))leq N^{1/u}right}end{align*} where $(F_1,ldots,F_t)$ is a system of affine-linear forms of $mathbf{Z}[X_1,ldots,X_d]$ no two of which are affinely related and $mathcal{K}$ is a convex body. This improves upon Balog, Blomer, Dartyge and Tenenbaum's work~cite{BBDT12} in the case of product of linear forms." @default.
- W2524965446 created "2016-10-07" @default.
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- W2524965446 date "2016-09-28" @default.
- W2524965446 modified "2023-09-27" @default.
- W2524965446 title "On the representation of friable integers by linear forms" @default.
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