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arXiv · 2112.05649

On Ramanujan-type Congruences for Multiplicative Functions

William Craig·Mircea Merca
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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.

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William Craig, Mircea Merca. 2021-12-10. On Ramanujan-type Congruences for Multiplicative Functions. https://arxiv.org/abs/2112.05649

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