R. Mistri

activity

20172026

collaborators

9 papers

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.CO2026

Signed sumsets and restricted signed sumsets in groups and fields

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 nonnegative integer $h$ , the \emph{ $h$ -fold signed sumset} of $A$ , denoted by $h_…

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.CO2026

Structure of sets with small product sets in torsion-free groups, cyclic groups of prime orders and abelian groups

Raj Kumar Mistri, Nitesh Prajapati

Let $ℓ$ and $m$ be positive integers with $ℓ \leq m$ , and let $A = (A_{1}, \dots, A_{m})$ be a finite sequence of finite subsets of a group $G$ (not necessarily abelia…

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…

math.NT2024

Some direct and inverse problems for the Restricted Signed sumset in set of integers

Mohan, Raj Kumar Mistri, Ram Krishna Pandey

Given a positive integer $h$ and a nonempty finite set of integers $A = {a_{1}, a_{2}, \dots, a_{k}}$ , the restricted $h$ -fold signed sumset of $A$ , denoted by $h_{\pm}^{\land} A$ , i…

math.NT2017

Restricted-sum-dominant sets

Raj Kumar Mistri, R. Thangadurai

Let $A$ be a nonempty finite subset of an additive abelian group $G$ . Define $A + A := {a + b : a, b \in A}$ and $A ∔ A := {a + b : a, b \in A and a \neq = b}$ . Th…

Sh​-sets in abelian groups

Signed sumsets and restricted signed sumsets in groups and fields

Restricted set addition in finite abelian groups

Structure of sets with small product sets in torsion-free groups, cyclic groups of prime orders and abelian groups

The maximum size of sumsets in finite cyclic groups

Direct and Inverse Problems for Restricted Signed Sumsets -- II

Direct and Inverse Problems for Restricted Signed Sumsets -- I

Some direct and inverse problems for the Restricted Signed sumset in set of integers

Restricted-sum-dominant sets

$S_{h}$ -sets in abelian groups