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math.CO2021
Partitions With Designated Summands Not Divisible by , , and Modulo , , and
Daniel Herden, Mark R. Sepanski, Jonathan Stanfill +4
Numerous congruences for partitions with designated summands have been proven since first being introduced and studied by Andrews, Lewis, and Lovejoy. This paper explicitly charact…
math.CO2020★ 1 cited
Counting the parts divisible by k in all the partitions of n whose parts have multiplicity less than k
Daniel Herden, Mark R. Sepanski, Jonathan Stanfill +7
Recent results by Andrews and Merca on the number of even parts in all partitions of n into distinct parts, a(n), were derived via generating functions. This paper extends these re…