Some congruence modulo 2, 3, and 7 for $$\ell $$-regular bipartitions
Abstract For any positive integer $$\ell $$ ℓ , $$B_\ell (n)$$ B ℓ ( n ) represents the number of $$\ell $$ ℓ -regular bipartitions of n . By employing q -series identities and Rogers−Ramanujan continued fraction identities, we establish new congruences for $$\ell $$ ℓ = 8, 9, 16, 32 and 35 under modulo 2, 3, and 7.
Authors
- B. R. Srivatsa Kumar (ORCID: https://orcid.org/0000-0002-5684-9834)
- D. Anu Radha
- Maheshagouda
Institutions
- Manipal Academy of Higher Education (IN)
Publication Details
- Journal
- Boletín de la Sociedad Matemática Mexicana
- Published
- 2026-08-20
- DOI
- https://doi.org/10.1007/s40590-026-00934-w
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Manipal Academy of Higher Education