When subset-sums do not cover all the residues modulo p

Jean Marc Deshouillers*, Gregory A. Freiman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Let c > 2. We prove that a subset A of ℤ/pℤ, where p is a prime number, with cardinality larger than c p such that its subset sums do not cover ℤ/pℤ has an automorphic image which is rather concentrated; more precisely, there exists s prime to p such that A figure is presented.

Original languageEnglish
Pages (from-to)255-262
Number of pages8
JournalJournal of Number Theory
Volume104
Issue number2
DOIs
StatePublished - Feb 2004

Keywords

  • Inverse problems of additive number theory

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