Jagannath Bhanja

activity

20182024

most citedOn the minimum size of subset and subsequence sums in integers

4 citations · 7 across the 7 of their papers we have counts for

collaborators

9 papers

math.NT2024

Freiman's $(3 k - 4)$ -like results for subset and subsequence sums

Mohan, Jagannath Bhanja, Ram Krishna Pandey

For a nonempty finite set $A$ of integers, let $S (A) = {\sum_{b \in B} b : \emptyset \neq = B \subseteq A}$ be the set of all nonempty subset sums of $A$ . In 1995, Nathan…

math.CO2023

Sumsets with a minimum number of distinct terms

Jagannath Bhanja

For a set $A$ of $k$ elements from an additive abelian group $G$ and a positive integer $r \leq k$ , we consider the set of elements of $G$ that can be written as a sum of $h$ eleme…

math.CO2022

An improved threshold for the number of distinct intersections of intersecting families

Jagannath Bhanja, Sayan Goswami

A family $F$ of subsets of ${1, 2, \dots, n}$ is called a $t$ -intersecting family if $∣ F \cap G ∣ \geq t$ for any two members $F, G \in F$ and for some positive i…

math.CO2022

A note on distinct differences in $t$ -intersecting families

Jagannath Bhanja, Sayan Goswami

For a family $F$ of subsets of ${1, 2, \dots, n}$ , let $D (F) = {F ∖ G : F, G \in F}$ be the collection of all (setwise) differences…

math.NT2021★ 4 cited

On the minimum size of subset and subsequence sums in integers

Jagannath Bhanja, Ram Krishna Pandey

Let $A$ be a sequence of $r k$ terms which is made up of $k$ distinct integers each appearing exactly $r$ times in $A$ . The sum of all terms of a subsequence of…

math.CO2021★ 3 cited

A Note on Sumsets and Restricted Sumsets

Jagannath Bhanja

In this note we find the optimal lower bound for the size of the sumsets $H A$ and $H^A$ over finite sets $H, A$ of nonnegative integers, where $H A = ⋃_{h \in H} h A$ and…

math.NT2019

Inverse problems for certain subsequence sums in integers

Jagannath Bhanja, Ram Krishna Pandey

Let $A$ be a nonempty finite set of $k$ integers. Given a subset $B$ of $A$ , the sum of all elements of $B$ , denoted by $s (B)$ , is called the subset sum of $B$ . For a nonnegative i…

math.NT2019

Direct and inverse results on restricted signed sumsets in integers

Jagannath Bhanja, Takao Komatsu, Ram Krishna Pandey

Let $G$ be an additive abelian group. Let $A = {a_{0}, a_{1}, \dots, a_{k - 1}}$ be a nonempty finite subset of $G$ . For a positive integer $h$ satisfying $1 \leq h \leq k$ , we let \[h…

math.NT2018

Direct and Inverse Theorems on Signed Sumsets of Integers

Jagannath Bhanja, Ram Krishna Pandey

Let $G$ be an additive abelian group and $h$ be a positive integer. For a nonempty finite subset $A = {a_{0}, a_{1}, \dots, a_{k - 1}}$ of $G$ , we let \[h_{\underline{+}}A:=\{Σ_{i=0}^{k-…

Freiman's (3k−4)-like results for subset and subsequence sums

Sumsets with a minimum number of distinct terms

An improved threshold for the number of distinct intersections of intersecting families

A note on distinct differences in t-intersecting families

On the minimum size of subset and subsequence sums in integers

A Note on Sumsets and Restricted Sumsets

Inverse problems for certain subsequence sums in integers

Direct and inverse results on restricted signed sumsets in integers

Direct and Inverse Theorems on Signed Sumsets of Integers

Freiman's $(3 k - 4)$ -like results for subset and subsequence sums

A note on distinct differences in $t$ -intersecting families