Results on some partition functions arising from certain relations\n involving the Rogers-Ramanujan continued fractions

2020/05/14 by Nayandeep Deka Baruah, Baruah, Nayandeep Deka, Nilufar Mana Begum +3
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2005.06799

openalex publication_date 2020/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Relations involving the Rogers-Ramanujan continued fractions R(q), R(q³\n), and R(q⁴) are used to find new generating functions and congruences\nmodulo 5 and 25 for 3-core, 4-core, 4-regular, and colored partition functions.\n

Related

• Identities for the Rogers-Ramanujan Continued Fraction
• Two partition functions with congruences modulo 3, 5, 7, and 13
• Infinite Families of Congruences Modulo 5 for Ramanujan's General Partition Function
• Continued Fractions for partition generating functions
• Some New Congruences and Partition-Theoretic Interpretations for the Coefficients of Some Rogers-Ramanujan Type Identities