On the critical pair theory in Z/pZ

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dc.creatorHamidoune, Yahya Ould
dc.creatorSerra, Oriol
dc.creatorZemor, Gilles
dc.date2005-07-27
dc.date.accessioned2026-07-07T06:26:56Z
dc.date.available2026-07-07T06:26:56Z
dc.descriptionLet A and B be subsets of Z/pZ such that |A+B| < |A|+|B|+2. We prove that, if |A|>3, |B|>4, |A+B|<p-4 and p > 52, then A and B are included in arithmetic progressions with the same difference and of size |A|+2 and |B|+2 respectively. This extends the well-known theorem of Vosper and a recent result of Rodseth and one of the present authors.
dc.description21 pages, submitted to Acta Arithmetica
dc.identifierhttps://arxiv.org/abs/math/0507561
dc.identifierhttp://arxiv.org/abs/math/0507561
dc.identifierActa Arithmetica, 121.2 (2006) pp. 99--115.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97269
dc.subjectNumber Theory
dc.subject11P70
dc.titleOn the critical pair theory in Z/pZ
dc.typetext

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