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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{goncalves2026componentwise,
  title = {{A component-wise inequality for permutation matches}},
  author = {Felipe Gonçalves},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.31979},
  eprint = {2609.31979},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.31979},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A component-wise inequality for permutation matches
AU  - Felipe Gonçalves
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2609.31979
UR  - https://arxiv.org/abs/2609.31979
AB  - 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.
ER  -