Abstract
In this paper, we study the partition functions Rℓ∗¯(n), which count the number of overpartitions of n where the non-overlined parts are ℓ-regular for a given ℓ. Using elementary techniques, as well as the theory of modular forms, we establish several new arithmetic properties, including infinite families of congruences for these functions.
| Original language | English (US) |
|---|---|
| Article number | 135 |
| Journal | Bulletin of the Malaysian Mathematical Sciences Society |
| Volume | 49 |
| Issue number | 4 |
| DOIs | |
| State | Published - Aug 2026 |
Bibliographical note
Publisher Copyright:© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2026.
Keywords
- Hecke Eigenforms
- Integer Partitions
- Modular Forms
- Overpartitions
- Ramanujan-type congruences
- q-Series
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