3 papers
math.NT2024
A divisor generating q-series identity and its applications to probability theory and random graphs
Archit Agarwal, Subhash Chand Bhoria, Pramod Eyyunni +1
In I981, Uchimura studied a divisor generating -series that has applications in probability theory and in the analysis of data structures, called heaps. Mainly, he proved the fo…
math.CO2022
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…
math.NT2020
Generalization of five q-series identities of Ramanujan and unexplored weighted partition identities
Subhash Chand Bhoria, Pramod Eyyunni, Bibekananda Maji
Ramanujan recorded five interesting q-series identities in a section that is not as systematically arranged as the other chapters of his second notebook. These five identities do n…