Eisenstein Series and Partition Functions
ABSTRACT In this work, using quotients of Dedekind eta functions of weight , we express certain Eisenstein series associated with congruence subgroups , of arbitrary weight. We then obtain new Ramanujan type identities on partition functions associated with certain eta quotients. The method we apply in this work is inspired by the work of Fine, Kolberg, and Garvan on Eisenstein series. It is different from those used by Ramanujan, Zuckerman, Carlitz, and others.
Authors
- Sofiane Abdelhamid Atmani
- Daeyeoul Kim (ORCID: https://orcid.org/0000-0002-2970-1666)
- Abdelmejid Bayad (ORCID: https://orcid.org/0000-0002-0867-8305)
Institutions
- Centre National de la Recherche Scientifique (FR)
- University of Sciences and Technology Houari Boumediene (DZ)
- Université Paris-Saclay (FR)
- Laboratoire de Mathématiques Blaise Pascal (FR)
- Jeonbuk National University (KR)
- Université d'Évry Val-d'Essonne (FR)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-05-30
- DOI
- https://doi.org/10.1002/mma.11107
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00