Work

Some congruence modulo 2, 3, and 7 for $$\ell $$-regular bipartitions

Year: 2026

Type: article

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.

Source: Boletín de la Sociedad Matemática Mexicana

DOI: 10.1007/s40590-026-00934-w

Authors: Maheshagouda, D. Anu Radha, B. R. Srivatsa Kumar

Institution: Manipal Academy of Higher Education

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Manipal Academy of Higher Education