Truncated Hecke-Rogers type series

Chun Wang, Ae Ja Yee

Research output: Contribution to journalArticlepeer-review

Abstract

The recent work of George Andrews and Mircea Merca on the truncated version of Euler's pentagonal number theorem has opened up a new study on truncated theta series. Since then several papers on the topic have followed. The main purpose of this paper is to generalize the study to Hecke-Rogers type double series, which are associated with some interesting partition functions. Our proofs heavily rely on a formula from the work of Zhi-Guo Liu on the q-partial differential equations and q-series.

Original languageEnglish (US)
Article number107051
JournalAdvances in Mathematics
Volume365
DOIs
StatePublished - May 13 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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