6 citations · 15 across the 13 of their papers we have counts for
21 papers
Hook Length Biases in -Core Partitions
Nayandeep Deka Baruah, Hirakjyoti Das, Pankaj Jyoti Mahanta +1
Recently, the theory of hook length biases has emerged as a prominent research topic. Led by Ballantine, Burson, Craig, Folsom, and Wen [\textit{Res. Math. Sci.}, 2023], hook lengt…
Hook-Length Biases in -regular partitions
Manjil P. Saikia, Prabal Talukdar
Recently, there has been a lot of work on combinatorial inequalities related to hook-lengths in -regular partitions. In this short note, we give a proof using generating functio…
Arithmetic properties of partition functions introduced by Pushpa and Vasuki
Hemjyoti Nath, Manjil P. Saikia
In this short note, we prove several infinite family of congruences for some restricted partitions introduced by Pushpa and Vasuki (2022) (thereby, also proving a conjecture of Das…
Arithmetic properties of -Schur overpartitions
Mohammed L. Nadji, Manjil P. Saikia, James A. Sellers
In a recent work, Nadji and Ahmia introduced the -Schur overpartitions as an overpartition analogue for -Schur partitions, which generalizes the classical Schur's partitions…
Arithmetic Properties of Generalized Cubic and Overcubic Partitions
Hirakjyoti Das, Saikat Maity, Manjil P. Saikia
We prove several congruences satisfied by the generalized cubic and generalized overcubic partition functions, recently introduced by Amdeberhan, Sellers, and Singh. We also prove…
Some Properties of Overpartitions into Nonmultiples of Two Integers
Abdulaziz M. Alanazi, Augustine O. Munagi, Manjil P. Saikia
We consider properties of overpartitions that are simultaneously {\ell}-regular and μ-regular, where {\ell} and μ are positive relatively prime integers. We prove a seven-way combi…