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math.NT2026
Sum of parts in overpartitions and partitions without repeated odd parts
Frank Garvan, Rishabh Sarma
In this paper, we obtain several Ramanujan-type congruences modulo 5 and 7 for sum of certain non-overlined parts in overpartitions classified by parity and sum of certain parts in…
math.CO2026
Overpartitions with repeated smallest non-overlined part
Amita Malik, Rishabh Sarma
Inspired by Andrews' and Bachraoui's work on partitions with repeated smallest part, we extend the concept to overpartitions. We study overpartitions with the restriction that the…