39 citations · 83 across the 24 of their papers we have counts for
4 papers · 1 filter
Factorization Theorems for Generalized Lambert Series and Applications
Mircea Merca, Maxie D. Schmidt
We prove new variants of the Lambert series factorization theorems studied by Merca and Schmidt (2017) which correspond to a more general class of Lambert series expansions of the…
Bisected theta series, least -gaps in partitions, and polygonal numbers
Cristina Ballantine, Mircea Merca
The least -gap, , of a partition is the smallest part of appearing less than times. In this article we introduce two new partition functions involving least…
New Factor Pairs for Factorizations of Lambert Series Generating Functions
Mircea Merca, Maxie D. Schmidt
We prove several new variants of the Lambert series factorization theorem established in the first article "Generating special arithmetic functions by Lambert series factorizations…
Generating Special Arithmetic Functions by Lambert Series Factorizations
Mircea Merca, Maxie D. Schmidt
We summarize the known useful and interesting results and formulas we have discovered so far in this collaborative article summarizing results from two related articles by Merca an…