7 citations · 11 across the 14 of their papers we have counts for
5 papers · 1 filter
Elementary symmetric polynomials and a potentially injective family of maps on partitions
Aman Devnani, Pramod Eyyunni
In this article, we provide an infinite family of examples to disprove a recent conjecture due to Ballantine and her collaborators on the injectivity of a class of maps, namely pre…
On the number of missing integers in partitions
Subhash Chand Bhoria, Pramod Eyyunni, Subhrangsu Santra
In the preceding decade, Andrews and Newman resurrected the concept of a `minimal excludant' of a partition (, for short), namely, the least positive missing integer in a part…
On the combinatorics of r-chain minimal and maximal excludants
Subhash Chand Bhoria, Pramod Eyyunni, Runqiao Li
The minimal excludant (mex) of a partition was introduced by Grabner and Knopfmacher under the name `least gap' and was revived by a couple of papers due to Andrews and Newman. It…
Bressoud-Subbarao type weighted partition identities for a generalized divisor function
Archit Agarwal, Subhash Chand Bhoria, Pramod Eyyunni +1
In 1984, Bressoud and Subbarao obtained an interesting weighted partition identity for a generalized divisor function, by means of combinatorial arguments. Recently, the last three…
A new generalization of the minimal excludant arising from an analogue of Franklin's identity
Subhash Chand Bhoria, Pramod Eyyunni, Bibekananda Maji
Euler's classical identity states that the number of partitions of an integer into odd parts and distinct parts are equinumerous. Franklin gave a generalization by considering part…