1 citations · 1 across the 8 of their papers we have counts for
9 papers
Sum of parts in overpartitions and partitions without repeated odd parts
Frank Garvan, Rishabh Sarma
In this paper, we obtain several Ramanujan-type congruences modulo 5 and 7 for sum of certain non-overlined parts in overpartitions classified by parity and sum of certain parts in…
Overpartitions with repeated smallest non-overlined part
Amita Malik, Rishabh Sarma
Inspired by Andrews' and Bachraoui's work on partitions with repeated smallest part, we extend the concept to overpartitions. We study overpartitions with the restriction that the…
On new minimal excludants of overpartitions related to some -series of Ramanujan
Aritram Dhar, Avi Mukhopadhyay, Rishabh Sarma
Inspired by Andrews' and Newman's work on the minimal excludant or "mex" of partitions, we define four new classes of minimal excludants for overpartitions and establish relations…
Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts
Frank G. Garvan, Rishabh Sarma
We give combinatorial interpretations of two residual cranks of overpartitions defined by Bringmann, Lovejoy and Osburn in 2009 analogous to the crank of partitions given by Andrew…
Bailey pairs, radial limits of -hypergeometric false theta functions, and a conjecture of Hikami
Jeremy Lovejoy, Rishabh Sarma
In the first part of this paper we prove a conjecture of Hikami on the values of the radial limits of a family of -hypergeometric false theta functions. Hikami conjectured that…
Transformation and symmetries for the Andrews-Garvan crank function
Rishabh Sarma
Let be the two-variable generating function of Dyson's rank function. In a recent joint work with Frank Garvan, we investigated the transformation of the elements of the $…
New symmetries for Dyson's rank function
F. G. Garvan, Rishabh Sarma
At the 1987 Ramanujan Centenary meeting Dyson asked for a coherent group-theoretical structure for Ramanujan's mock theta functions analogous to Hecke's theory of modular forms. Ma…
Generalization of the Extended Minimal Excludant of Andrews and Newman
Aritram Dhar, Avi Mukhopadhyay, Rishabh Sarma
In a recent pioneering work, Andrews and Newman defined an extended function of their minimal excludant or "mex" of a partition function. By considering the special ca…
On Euler-Ramanujan formula, Dirichlet series and minimal surfaces
Rukmini Dey, Rishabh Sarma, Rahul Kumar Singh
In this paper, we rewrite two forms of an Euler-Ramanujan identity in terms of certain Dirichlet series and derive functional equation of the latter. We also use the Weierstrass-En…