INEQUALITIES AND UNIFORM ASYMPTOTIC FORMULAE FOR SPT-CRANK OF PARTITIONS
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].
Authors
- Nian Hong Zhou (ORCID: https://orcid.org/0000-0003-2889-5312)
- Yuan Chen (ORCID: https://orcid.org/0000-0001-9059-3839)
Institutions
- Guangxi Normal University (CN)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2024-09-13
- DOI
- https://doi.org/10.1017/s0004972724000455
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00