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math.CO2022
Bressoud-Subbarao type weighted partition identities for a generalized divisor function
Archit Agarwal, Subhash Chand Bhoria, Pramod Eyyunni +1
In 1984, Bressoud and Subbarao obtained an interesting weighted partition identity for a generalized divisor function, by means of combinatorial arguments. Recently, the last three…
math.CO2022
A new generalization of the minimal excludant arising from an analogue of Franklin's identity
Subhash Chand Bhoria, Pramod Eyyunni, Bibekananda Maji
Euler's classical identity states that the number of partitions of an integer into odd parts and distinct parts are equinumerous. Franklin gave a generalization by considering part…