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New infinite families of congruences for Andrews’ (K, I)-singular overpartitions

open access: yesQuaestiones Mathematicae, 2018
In a recent work, Andrews dened the singular overpartition functions, denoted by C̄k;i(n), which count the number of overpartitions of n in which no part is divisible by k and only parts ≡±i (mod k) may be overlined.
Xiaorong Li, Olivia X M Yao
exaly   +1 more source

Integer partitions into Diophantine pairs

open access: yesQuaestiones Mathematicae, 2017
Let n, a and b be positive integers. The pair (a; b) is called an integer partition of n into Diophantine pair if n = a+b, ab+1 is a perfect square and a > b.
Bouroubi, S   +4 more
exaly   +1 more source
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On Two Truncated Quintuple Series Theorems

Experimental Mathematics, 2022
Mircea Merca
exaly  

The powers of two as sums over partitions

Quaestiones Mathematicae, 2020
Mircea Merca
exaly  

Recurrences for the Partition Function and Its Relatives

Rocky Mountain Journal of Mathematics, 2004
John A Ewell
exaly  

New congruences modulo 5 and 9 for partitions with odd parts distinct

Quaestiones Mathematicae, 2020
Olivia X M Yao
exaly  

More lacunary partition functions

Illinois Journal of Mathematics, 2003
Jeremy Lovejoy
exaly  

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