Joel A. Henningsen

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20202025

most citedCounting the parts divisible by k in all the partitions of n whose parts have multiplicity less than k

1 citations · 1 across the 4 of their papers we have counts for

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math.CO2021

Partitions With Designated Summands Not Divisible by $2^{l}$ , $2$ , and $3^{l}$ Modulo $2$ , $4$ , and $3$

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…

Partitions With Designated Summands Not Divisible by 2l, 2, and 3l Modulo 2, 4, and 3

Counting the parts divisible by k in all the partitions of n whose parts have multiplicity less than k

Partitions With Designated Summands Not Divisible by $2^{l}$ , $2$ , and $3^{l}$ Modulo $2$ , $4$ , and $3$