Bhuwanesh Rao Patil

activity

20182024

most citedPhase-change switching in 2D via soft interactions

10 citations · 10 across the 4 of their papers we have counts for

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4 papers · 1 filter

math.NT2024

On additive complements in the complement of a set of natural numbers

Bhuwanesh Rao Patil, Mohan

Let $A$ be a set of natural numbers. A set $B$ , a set of natural numbers, is an additive complement of the set $A$ if all sufficiently large natural numbers can be represented in t…

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.NT2019

Combinatorial properties of sparsely totient numbers

Mithun Kumar Das, Pramod Eyyunni, Bhuwanesh Rao Patil

Let $N_{1} (m) = max {n : ϕ (n) \leq m}$ and $N_{1} = {N_{1} (m) : m \in ϕ (N)}$ where $ϕ (n)$ denotes the Euler's totient function. Masser and Shiu \cite{masser} call th…

math.NT2019

Sparse subsets of the natural numbers and Euler's totient function

Mithun Kumar Das, Pramod Eyyunni, Bhuwanesh Rao Patil

In this article, we investigate sparse subsets of the natural numbers and study the sparseness of some sets associated with the Euler's totient function $ϕ$ via the property of `Ba…