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- W4287111111 abstract "Gowers and Wolf have conjectured that, given a set of linear forms ${psi_i}_{i=1}^t$ each mapping $mathbb{Z}^D$ to $mathbb{Z}$, if $s$ is an integer such that the functions $psi_1^{s+1},ldots, psi_t^{s+1}$ are linearly independent, then averages of the form $mathbb{E}_{boldsymbol{x}} prod_{i=1}^t f(psi_i(boldsymbol{x}))$ may be controlled by the Gowers $U^{s+1}$-norm of $f$. We prove (a stronger version of) this conjecture." @default.
- W4287111111 created "2022-07-25" @default.
- W4287111111 creator A5001553716 @default.
- W4287111111 date "2021-06-29" @default.
- W4287111111 modified "2023-09-26" @default.
- W4287111111 title "On a conjecture of Gowers and Wolf" @default.
- W4287111111 doi "https://doi.org/10.48550/arxiv.2106.15437" @default.
- W4287111111 hasPublicationYear "2021" @default.
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