Restricted sumsets and a conjecture of Lev

DOI10.1007/BF02773597zbMath1173.11312arXivmath/0503620WikidataQ123008948 ScholiaQ123008948MaRDI QIDQ2472707

Hao Pan, Zhi-Wei Sun

Publication date: 22 February 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503620

Mathematics Subject Classification ID

Extremal set theory (05D05) Other combinatorial number theory (11B75) Inverse problems of additive number theory, including sumsets (11P70)

Related Items (7)

A Kneser-Type Theorem for Restricted Sumsets ⋮ A Freiman-type Theorem for restricted sumsets ⋮ Arithmetic-progression-weighted subsequence sums ⋮ Large restricted sumsets in general abelian groups ⋮ A variant of Tao's method with application to restricted sumsets ⋮ Restricted sumsets in a finite abelian group ⋮ On the generalized restricted sumsets in abelian groups

Cites Work

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• Restricted set addition in abelian groups: results and conjectures
• On various restricted sumsets
• A compactness argument in the additive theory and the polynomial method.
• Restricted sums of subsets of Z
• Restricted sums in a field
• Combinatorial Nullstellensatz
• Cyclic Spaces for Grassmann Derivatives and Additive Theory
• Restricted Set Addition in Groups I: The Classical Setting
• Adding Distinct Congruence Classes Modulo a Prime

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