December 2022 LINKED PARTITION IDEALS AND ANDREWS–GORDON TYPE SERIES FOR ALLADI AND GORDON’S EXTENSION OF SCHUR’S IDENTITY
Shane Chern
Rocky Mountain J. Math. 52(6): 2009-2026 (December 2022). DOI: 10.1216/rmj.2022.52.2009

Abstract

Based on the framework of linked partition ideals, we derive some double and triple series of Andrews–Gordon type for partitions in Alladi and Gordon’s extension of Schur’s identity. We also display similar series for such partitions with additional restrictions on the smallest part. Also, an alternative proof of Alladi and Gordon’s extension of Schur’s identity is presented.

Citation

Download Citation

Shane Chern. "LINKED PARTITION IDEALS AND ANDREWS–GORDON TYPE SERIES FOR ALLADI AND GORDON’S EXTENSION OF SCHUR’S IDENTITY." Rocky Mountain J. Math. 52 (6) 2009 - 2026, December 2022. https://doi.org/10.1216/rmj.2022.52.2009

Information

Received: 15 September 2021; Revised: 23 February 2022; Accepted: 4 March 2022; Published: December 2022
First available in Project Euclid: 28 December 2022

MathSciNet: MR4527006
zbMATH: 1506.05019
Digital Object Identifier: 10.1216/rmj.2022.52.2009

Subjects:
Primary: 11P84
Secondary: 05A17

Keywords: Andrews–Gordon type series , generating function , linked partition ideals , Schur’s identity

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

Vol.52 • No. 6 • December 2022
Back to Top