Ramanujan's partial theta series and parity in partitions

Ae Ja Yee

doi:10.1007/s11139-009-9190-0

Ramanujan's partial theta series and parity in partitions

Ae Ja Yee

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

A partial theta series identity from Ramanujan's lost notebook has a connection with some parity problems in partitions studied by Andrews in Ramanujan J., to appear where 15 open problems are listed. In this paper, the partial theta series identity of Ramanujan is revisited and answers to Questions 9 and 10 of Andrews are provided.

Original language	English (US)
Pages (from-to)	215-225
Number of pages	11
Journal	Ramanujan Journal
Volume	23
Issue number	1
DOIs	https://doi.org/10.1007/s11139-009-9190-0
State	Published - Dec 2010

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/s11139-009-9190-0

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title = "Ramanujan's partial theta series and parity in partitions",

abstract = "A partial theta series identity from Ramanujan's lost notebook has a connection with some parity problems in partitions studied by Andrews in Ramanujan J., to appear where 15 open problems are listed. In this paper, the partial theta series identity of Ramanujan is revisited and answers to Questions 9 and 10 of Andrews are provided.",

author = "Yee, {Ae Ja}",

note = "Funding Information: Partially supported by National Science Foundation Grant DMS-0801184.",

year = "2010",

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AB - A partial theta series identity from Ramanujan's lost notebook has a connection with some parity problems in partitions studied by Andrews in Ramanujan J., to appear where 15 open problems are listed. In this paper, the partial theta series identity of Ramanujan is revisited and answers to Questions 9 and 10 of Andrews are provided.

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Ramanujan's partial theta series and parity in partitions

Abstract

All Science Journal Classification (ASJC) codes

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