R. Mistri

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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…

math.NT2025

The maximum size of sumsets in finite cyclic groups

Vivekanand Goswami, Raj Kumar Mistri

Let $A$ be a nonempty finite subset of an additive abelian group $G$ . Given a nonnegative integer $h$ , the $h$ -fold sumset $h A$ is the set of all sums of $h$ elements of $A$ , and t…

math.NT2025

Direct and Inverse Problems for Restricted Signed Sumsets -- II

Raj Kumar Mistri, Nitesh Prajapati

Let $A = {a_{1}, \dots, a_{k}}$ be a nonempty finite subset of an additive abelian group $G$ . For a positive integer $h$ , the restricted $h$ -fold signed sumset of $A$ , denoted by $h…

math.NT2025

Direct and Inverse Problems for Restricted Signed Sumsets -- I

Raj Kumar Mistri, Nitesh Prajapati

Let $A = {a_{1}, \dots, a_{k}}$ be a nonempty finite subset of an additive abelian group $G$ . For a positive integer $h$ , the $h$ -fold signed sumset of $A$ , denoted by $h_{\pm} A$ , i…