Sequences in overpartitions

George E. Andrews, Ali K. Uncu

Research output: Contribution to journalArticlepeer-review

7 Citations (SciVal)

Abstract

This paper is devoted to the study of sequences in overpartitions and their relation to 2-color partitions. An extensive study of a general class of double series is required to achieve these ends.

Original languageEnglish
Pages (from-to)715-729
Number of pages15
JournalRamanujan Journal
Volume61
Issue number2
Early online date17 Jan 2023
DOIs
Publication statusPublished - 30 Jun 2023

Data Availability Statement

Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

Funding

Research of George E. Andrews is partially supported by the Simons foundation Grant Number 633284. Research of Ali K. Uncu is partly supported by EPSRC Grant Number EP/T015713/1 and partly by FWF Grant P-34501N. We thank the anonymous referee for the careful reading of the manuscript and all the well thought out comments and suggestions. George E. Andrews would like to thank the Simons foundation for their support through the Grant Number 633284. Ali K. Uncu would like to thank UK Research and Innovation EPSRC and Austrian Science fund (FWF) for partially supporting his research through the Grants EP/T015713/1 and P-34501N, respectively. Open access funding provided by Austrian Science Fund (FWF).

Keywords

  • Determinants
  • Overpartitions
  • Partition identities

ASJC Scopus subject areas

  • Algebra and Number Theory

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