Work

Inequalities and Uniform Asymptotic Formulae for Spt-crank of Partitions

Year: 2024

Type: article

Abstract: We establish some inequalities that arise from truncating Lerch sums and derive uniform asymptotic formulae for the spt-crank of ordinary partitions. The uniform asymptotic formulae improve upon a result of Mao [‘Asymptotic formulas for spt-crank of partitions’, J. Math. Anal. Appl.460(1) (2018), 121–139].

Source: Bulletin of the Australian Mathematical Society

DOI: 10.1017/s0004972724000455

Authors: YUAN CHEN, 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: gold

Estimated APC paid: $3,450

OpenAlex ID: W4402522099

FWCI:

Cites: 8

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Related to: 10