Cranks-really, the final problem

Bruce C. Berndt; Heng Huat Chan; Song Heng Chan; Wen Chin Liaw

doi:10.1007/s11139-008-9143-z

Cranks-really, the final problem

Bruce C. Berndt
, Heng Huat Chan
, Song Heng Chan
, Wen Chin Liaw

Mathematics

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

Abstract

A survey of Ramanujan's work on cranks in his lost notebook is given. We give evidence that Ramanujan was concentrating on cranks when he died, that is to say, the final problem on which Ramanujan worked was cranks-not mock theta functions.

Original language	English (US)
Pages (from-to)	3-15
Number of pages	13
Journal	Ramanujan Journal
Volume	23
Issue number	1
DOIs	https://doi.org/10.1007/s11139-008-9143-z
State	Published - Dec 2010

Keywords

Crank
Partitions
Ramanujan's lost notebook
Rank
Theta functions

ASJC Scopus subject areas

Algebra and Number Theory

Online availability

10.1007/s11139-008-9143-z

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title = "Cranks-really, the final problem",

abstract = "A survey of Ramanujan's work on cranks in his lost notebook is given. We give evidence that Ramanujan was concentrating on cranks when he died, that is to say, the final problem on which Ramanujan worked was cranks-not mock theta functions.",

keywords = "Crank, Partitions, Ramanujan's lost notebook, Rank, Theta functions",

author = "Berndt, \{Bruce C.\} and Chan, \{Heng Huat\} and Chan, \{Song Heng\} and Liaw, \{Wen Chin\}",

note = "B.C. Berndt{\textquoteright}s research is partially supported by grant H98230-07-1-0088. from the National Security Agency. H.H. Chan{\textquoteright}s research is partially supported by National University of Singapore Academic Research Fund, Project Number R146000027112. W.-C. Liaw{\textquoteright}s research is partially supported by grant NSC95-2115-M-194-012 from the National Science Council of the Republic of China.",

year = "2010",

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doi = "10.1007/s11139-008-9143-z",

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AU - Berndt, Bruce C.

AU - Chan, Heng Huat

AU - Chan, Song Heng

AU - Liaw, Wen Chin

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PY - 2010/12

Y1 - 2010/12

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KW - Crank

KW - Partitions

KW - Ramanujan's lost notebook

KW - Rank

KW - Theta functions

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Cranks-really, the final problem

Abstract

Keywords

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