Ram Krishna Pandey

activity

20152022

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

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

collaborators

7 papers

math.NT2022

Maximal density and the kappa values for the families ${a, a + 1, 2 a + 1, n}$ and ${a, a + 1, 2 a + 1, 3 a + 1, n}$

Ram Krishna Pandey, Neha Rai

Let $M$ be a set of positive integers. We study the maximal density $μ (M)$ of the sets of nonnegative integers $S$ whose elements do not differ by an element in $M$ . In 1973, Canto…

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.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-…

math.NT2018

Additive Complements for a given Asymptotic Density

Alain Faisant, Georges Grekos, Ram Krishna Pandey +1

{The first version of this text was written and submitted to a journal on April, 12, 2018. This second version was submitted on April, 9, 2019.} We investigate the existence of sub…

math.NT2015

On unavoidable obstructions in Gaussian walks

Sai Teja Somu, Ram Krishna Pandey

In this paper we investigate a problem about certain walks in the ring of Gaussian integers. Let $n, d$ be two natural numbers. Does there exist a sequence of Gaussian integers $z_j…

Maximal density and the kappa values for the families {a,a+1,2a+1,n} and {a,a+1,2a+1,3a+1,n}

On the minimum size of subset and subsequence sums in integers

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

Additive Complements for a given Asymptotic Density

On unavoidable obstructions in Gaussian walks

Maximal density and the kappa values for the families ${a, a + 1, 2 a + 1, n}$ and ${a, a + 1, 2 a + 1, 3 a + 1, n}$