R. Mistri

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20172026

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math.NT2026

$S_{h}$ -sets in abelian groups

Vivekanand Goswami, Raj Kumar Mistri

For a positive integer $h$ , a subset $A = {a_{1}, \dots, a_{k}}$ of an additive abelian group $G$ is called an $S_{h}$ -set of size $k$ if all sums of $h$ distinct elements in $S$ are d…

math.NT2026

Restricted set addition in finite abelian groups

Vivekanand Goswami, Raj Kumar Mistri

Let $A$ be a nonempty subset of finite abelian group $G$ of order $n$ . For an integer $h \geq 2$ , the restricted $h$ -fold sumset $h^{\land} A$ is the set of all sums of $h$ distinct…

Sh​-sets in abelian groups

Restricted set addition in finite abelian groups

$S_{h}$ -sets in abelian groups