6 papers
2- and 3-Dissections of Second-, Sixth-, and Eighth-Order Mock Theta Functions
Frank Garvan, Hemjyoti Nath
In this paper, we develop a systematic method for obtaining and proving -dissections of mock theta functions. In 2014, Hickerson and Mortenson showed how to derive and prove ide…
New arithmetic properties for overpartitions where nonoverlined parts are -regular
Hemjyoti Nath, Manjil P. Saikia, James A. Sellers
In this paper, we study the partition functions , which count the number of overpartitions of where the non-overlined parts are -regular for a…
Infinite families of congruences for the second order mock theta function
Hemjyoti Nath, Hirakjyoti Das
The arithmetic properties of the second order mock theta function , introduced by McIntosh, defined by \begin{equation*} \mathcal{B}(q) := \sum_{n \geq 0} \frac{q^n…
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 -tuple -regular partitions
Hemjyoti Nath, Manjil P. Saikia, Abhishek Sarma
In this paper, we study arithmetic properties satisfied by the -tuple -regular partitions. A -tuple of partitions is said to be -regu…
Congruences and density results for partitions into distinct even parts
Hemjyoti Nath, Abhishek Sarma
In this paper, we consider the set of partitions which counts the number of partitions of wherein the even parts are distinct (and the odd parts are unrestricted). Usi…