We give a short and elementary proof of the $\ell^{2}$ decoupling inequality
for the moment curve in $\mathbb{R}^k$, using a bilinear approach inspired by
the nested efficient congruencing argument of Wooley (arXiv:1708.01220).Comment: v2: 10 pages, minor correction

Guo, Shaoming

Li, Zane Kun

Yung, Po-Lam

Zorin-Kranich, Pavel

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arXiv

We give a short and elementary proof of the $\ell^{2}$ decoupling inequality
for the moment curve in $\mathbb{R}^k$, using a bilinear approach inspired by
the nested efficient congruencing argument of Wooley (arXiv:1708.01220).Comment: v3: fixed up issues about weights in the published version. Weights
  in Section 3 are now required to decay a bit faster at infinity, and proofs
  of properties of weights are now given in an Appendi

A short proof of $\ell^2$ decoupling for the moment curve

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