5 papers
On additive complements in the complement of a set of natural numbers
Bhuwanesh Rao Patil, Mohan
Let be a set of natural numbers. A set , a set of natural numbers, is an additive complement of the set if all sufficiently large natural numbers can be represented in t…
On additive complement with special structures
Mohan, Bhuwanesh Rao Patil, Ram Krishna Pandey
Let be a set of natural numbers. A set , a set of natural numbers, is said to be an additive complement of the set if all sufficiently large natural numbers can be repre…
Combinatorial properties of sparsely totient numbers
Mithun Kumar Das, Pramod Eyyunni, Bhuwanesh Rao Patil
Let and where denotes the Euler's totient function. Masser and Shiu \cite{masser} call th…
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 via the property of `Ba…
Phase-change switching in 2D via soft interactions
Rogelio Díaz-Méndez, Guido Pupillo, Fabio Mezzacapo +3
We present a new type of phase-change behavior relevant for information storage applications, that can be observed in 2D systems with cluster-forming ability. The temperature-based…