On Ramanujan-type Congruences for Multiplicative Functions
Number Theory
2022-05-12 v2 Combinatorics
Abstract
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 overpartitions via congruences in arithmetic progressions, we investigate the existence and classification of Ramanujan-type congruences for functions in multiplicative number theory.
Cite
@article{arxiv.2112.05649,
title = {On Ramanujan-type Congruences for Multiplicative Functions},
author = {William Craig and Mircea Merca},
journal= {arXiv preprint arXiv:2112.05649},
year = {2022}
}
Comments
Corrects typos pointed out by anonymous referee