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On the generalized restricted sumsets in abelian groups

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Publication:2102698
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DOI10.1016/j.jcta.2022.105704OpenAlexW4308810885MaRDI QIDQ2102698

Hao Pan, Shan-Shan Du

Publication date: 29 November 2022

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02833


zbMATH Keywords

restricted sumsetcosetfinite abelian group


Mathematics Subject Classification ID

Finite abelian groups (20K01) Additive bases, including sumsets (11B13)




Cites Work

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  • Cauchy-Davenport theorem in group extensions.
  • A variant of Tao's method with application to restricted sumsets
  • A lower bound for \(|\{a+b: a\in A,\;b\in B,\;P(a,b)\neq 0\}|\)
  • The Erdős-Heilbronn problem in Abelian groups.
  • The polynomial method and restricted sums of congruence classes
  • Restricted sumsets and a conjecture of Lev
  • On various restricted sumsets
  • Restricted sums in a field
  • Restricted sumsets in finite nilpotent groups
  • The Erdős–Heilbronn problem for finite groups
  • Combinatorial Nullstellensatz
  • Cyclic Spaces for Grassmann Derivatives and Additive Theory
  • Adding Distinct Congruence Classes Modulo a Prime
  • On the addition of residue classes mod p
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