
Aritram DharUniversity of Florida | UF · Department of Mathematics
Aritram Dhar
BS-MS
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3
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Citations since 2017
Introduction
I am interested in Number Theory and Combinatorics with specific interests in q-Series, Partition Theory, Special Functions, and Ramanujan’s Mathematics.
Skills and Expertise
Additional affiliations
August 2016 - May 2021
Education
August 2016 - May 2021
Publications
Publications (3)
In a recent pioneering work, Andrews and Newman defined an extended function $p_{A,a}(n)$ of their minimal excludant or "mex" of a partition function and by considering the cases $p_{k,k}(n)$ and $p_{2k,k}(n)$, they unearthed connections to the rank and crank of partitions and some restricted partitions. In this paper, we build on their work and ob...
In this paper, we first provide an analytic and a bijective proof of a formula stated by Vladeta Jovovic in the OEIS sequence A117989. We also provide a bijective proof of another interesting result stated by him on the same page concerning integer partitions with fixed differences between the largest and smallest parts.