Work

The Moments of Ranks and Cranks for Cubic Partitions

Year: 2025

Type: article

Abstract: In this paper, we introduce the absolute rank and crank moments of cubic partitions and obtain some inequalities between them. These results enable us to settle an open question of Kim, Kim and Nam [14] on inequalities between rank and crank moments of cubic partitions.

Source: Taiwanese Journal of Mathematics

DOI: 10.11650/tjm/250303

Authors: Yuan Chen, Rongying Lu, Nian Hong Zhou

Institution: Guangxi Normal University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Guangxi Normal University, Education Department of Guangxi Zhuang Autonomous Region

Award: G3379435980