Mohan

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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.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.NT2024

On additive complement with special structures

Mohan, Bhuwanesh Rao Patil, Ram Krishna Pandey

Let $A$ be a set of natural numbers. A set $B$ , a set of natural numbers, is said to be an additive complement of the set $A$ if all sufficiently large natural numbers can be repre…

math.NT2024

Generalized H-fold sumset and Subsequence sum

Mohan, Ram Krishna Pandey

Let $A$ and $H$ be nonempty finite sets of integers and positive integers, respectively. The generalized $H$ -fold sumset, denoted by $H^{(r)} A$ , is the union of the sumsets $h^{(r)…

math.NT2024

Extended inverse theorems for $h$ -fold sumsets in integers

Mohan, Ram Krishna Pandey

Let $h \geq 2$ , $k \geq 5$ be integers and $A$ be a nonempty finite set of $k$ integers. Very recently, Tang and Xing studied extended inverse theorems for $hk-h+1 < \left|hA\right…

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

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

On additive complement with special structures

Generalized H-fold sumset and Subsequence sum

Extended inverse theorems for h-fold sumsets in integers

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

Extended inverse theorems for $h$ -fold sumsets in integers