Browsing by Subject "q-series"

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Bressoud–Subbarao Type Weighted Partition Identities for a Generalized Divisor Function

Eyyunni, Pramod (Springer, 2023-04)

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 named authors found an analytic proof ...
Generalization of five q-series identities of Ramanujan and unexplored weighted partition identities

Eyyunni, Pramod (Springer, 2022-01)

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 not seem to have acquired enough attention. ...
Untrodden pathways in the theory of the restricted partition function p(n,N)

Eyyunni, Pramod (Elsevier, 2021-05)

We obtain a finite analogue of a recent generalization of an identity in Ramanujan's Notebooks. Differentiating it with respect to one of the parameters leads to a result whose limiting case gives a finite analogue of ...

Now showing items 1-3 of 3

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