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math.NT2019★ 3 cited
An inequality between finite analogues of rank and crank moments
Pramod Eyyunni, Bibekananda Maji, Garima Sood
The inequality between rank and crank moments was conjectured and later proved by Garvan himself in 2011. Recently, Dixit and the authors introduced finite analogues of rank and cr…
math.NT2019
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…
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 via the property of `Ba…