{
  "title": "An uncertainty principle for cyclic groups of prime order",
  "author": "Terence Tao",
  "arxiv_id": "math/0308286v6",
  "version_date": "2004-07-22",
  "review_date": "2026-10-14",
  "pages": 7,
  "pdf_url": "https://arxiv.org/pdf/math/0308286v6",
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  "abstract_url": "https://arxiv.org/abs/math/0308286v6",
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      "original": "\\title[Uncertainty principle for $\\Z/p\\Z$]{An uncertainty principle for cyclic groups of prime order}",
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      "original": "\\author{Terence Tao}",
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      "original": "\\address{Department of Mathematics, UCLA, Los Angeles CA 90095-1555}",
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      "original": "This work was conducted at Australian National University.  The author is a Clay Prize Fellow and is supported",
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      "original": "by a grant from the Packard Foundation.  The author is also indebted to Robin Chapman for pointing out the",
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      "original": "provenance of Lemma \\ref{minors} and simplifying the proof of the Cauchy-Davenport inequality, to ",
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      "original": "Michael Cowling and Gerd Mockenhaupt for pointing out the provenance of \\eqref{basic-uncertainty},",
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      "original": "and to Roy Meshulam to pointing out extensions of Theorem \\ref{uncertainty} to higher powers of $\\Z/p\\Z$.",
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      "original": "We also thank Gergely Harcos, Melvyn Nathanson and Vselvolod Lev for some corrections and comments.",
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