| dc.contributor.author |
Eyyunni, Pramod |
|
| dc.contributor.author |
Maji, Bibekananda |
|
| dc.contributor.author |
Sood, Garima |
|
| dc.contributor.other |
Analytic and Combinatorial Number Theory: The Legacy of Ramanujan 2019 |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2024-09-27T09:29:34Z |
|
| dc.date.available |
2024-09-27T09:29:34Z |
|
| dc.date.issued |
2019-06-06 |
|
| dc.identifier.citation |
Eyyunni, Pramod; Maji, Bibekananda and Sood, Garima, "An inequality between finite analogues of rank and crank moments", in the Analytic and Combinatorial Number Theory: The Legacy of Ramanujan 2019, Champaign, US, Jun. 6-9, 2019. |
|
| dc.identifier.uri |
https://doi.org/10.1142/S1793042120400217 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/10607 |
|
| dc.description.abstract |
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 crank moments for vector partitions while deriving a finite analogue of Andrews’ famous identity for smallest parts function. In the same paper, they also conjectured an inequality between finite analogues of rank and crank moments, analogous to Garvan’s conjecture. In this paper, we give a proof of this conjecture. |
|
| dc.description.statementofresponsibility |
by Pramod Eyyunni, Bibekananda Maji and Garima Sood |
|
| dc.language.iso |
en_US |
|
| dc.subject |
Partitions |
|
| dc.subject |
Finite analogues |
|
| dc.subject |
Smallest parts function |
|
| dc.subject |
Moments inequality |
|
| dc.subject |
Symmetrized moments |
|
| dc.title |
An inequality between finite analogues of rank and crank moments |
|
| dc.type |
Conference Paper |
|