On two new kinds of restricted sumsets

2022/10/21 by Wang, Han, Sun, Zhi-Wei
#05E16 #11B13 #11P70 #20K15 #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2210.12044

Abstract

Let A₁,…,A_n be finite subsets of an additive abelian group G with |A₁|=⋯=|A_n|≥2. Concerning the two new kinds of restricted sumsets L(A₁,…,A_n)=\a₁+⋯+a_n: a₁∈ A₁,…,a_n∈ A_n, and a_i\not=a_i+1 for 1≤ i

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