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math.NT2024
On new minimal excludants of overpartitions related to some -series of Ramanujan
Aritram Dhar, Avi Mukhopadhyay, Rishabh Sarma
Inspired by Andrews' and Newman's work on the minimal excludant or "mex" of partitions, we define four new classes of minimal excludants for overpartitions and establish relations…
math.NT2024
Pfaff's Method Revisited
Aritram Dhar
In 1797, Pfaff gave a simple proof of a hypergeometric series summation formula which was much later reproved by Andrews in 1996. In the same paper, Andrews also proved o…