q-Identities related to overpartitions and divisor functions

2004/04/04 by Amy M. Fu, Alain Lascoux, Fu, Amy M. +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.math/0404065

6 pages

openalex publication_date 2004/04/04 · arxiv created 2004/04/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalize and prove conjectures of Corteel and Lovejoy, related to overpartitions and divisor functions.

Related

• On some q-identities related to divisor functions
• The combinatorics of identities involving overpartitions with distinct parts
• Overpartitions with parts separated by parity
• "Overpartitionized" Rogers--Ramanujan type identities
• An Overpartition Companion of Andrews and Keith's 2-colored q-series Identity