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math.NT2021
On Ramanujan-type Congruences for Multiplicative Functions
William Craig, Mircea Merca
The study of Ramanujan-type congruences for functions specific to additive number theory has a long and rich history. Motivated by recent connections between divisor sums and overp…
math.CO2021
-Regular partitions and the pod function
Cristina Ballantine, Mircea Merca
The partition function enumerates the partitions of wherein odd parts are distinct and even parts are unrestricted. Recently, a number of properties for have…
math.CO2021
Overpartitions and functions from multiplicative number theory
Mircea Merca
Let and be two nonnegative integers such that . For an arbitrary sequence of complex numbers, we consider the generalized Lambert series in o…