Ram Krishna Pandey

activity

20182022

collaborators

5 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.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…

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

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

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