A component-wise inequality for permutation matches

Felipe Gonçalves

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arXiv · 2609.31979

A component-wise inequality for permutation matches

Felipe Gonçalves

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Abstract

Motivated by the recent paper [Sharp endpoint extension inequalities for the moment curve on finite fields II: an extremal property of the uniform distribution, arXiv:2609.29882], which proves sharp extension inequalities in finite fields via a two-point symmetrization argument, we prove here a more general component-wise inequality for permutation matches that implies theirs.

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Felipe Gonçalves. 2026-09-25. A component-wise inequality for permutation matches. https://arxiv.org/abs/2609.31979

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