Aritram Dhar

activity

20232026

most citedOn partitions with bounded largest part and fixed integral GBG-rank modulo primes

2 citations · 2 across the 16 of their papers we have counts for

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3 papers · 1 filter

math.CO2025

On Glaisher's Partition Theorem

George E. Andrews, Aritram Dhar

Glaisher's theorem states that the number of partitions of $n$ into parts which repeat at most $m - 1$ times is equal to the number of partitions of $n$ into parts which are not divi…

math.NT2025

Further Applications of Cubic $q$ -Binomial Transformations

Alexander Berkovich, Aritram Dhar

Consider \begin{align*} G(N,M;α,β,K,q) = \sum\limits_{j\in\mathbb{Z}}(-1)^jq^{\frac{1}{2}Kj((α+β)j+α-β)}\left[\begin{matrix}M+N\\N-Kj\end{matrix}\right]_{q}. \end{align*} In this p…

math.CO2025

Finite analogs of partition bias related to hook length two and a variant of Sylvester's map

Alexander Berkovich, Aritram Dhar

In this paper, we count the total number of hooks of length two in all odd partitions of $n$ and all distinct partitions of $n$ with a bound on the largest part of the partitions.…

On Glaisher's Partition Theorem

Further Applications of Cubic q-Binomial Transformations

Finite analogs of partition bias related to hook length two and a variant of Sylvester's map

Further Applications of Cubic $q$ -Binomial Transformations