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A REMARK ON TAIL DISTRIBUTIONS OF PARTITION RANK AND CRANK

Part of: Additive number theory; partitions Combinatorics

Published online by Cambridge University Press:  20 August 2015

BYUNGCHAN KIM
BYUNGCHAN KIM*
Affiliation:
School of Liberal Arts, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowongu, Seoul, 139-743, Republic of Korea email bkim4@seoultech.ac.kr
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Abstract

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We examine the tail distributions of integer partition ranks and cranks by investigating tail moments, which are analogous to the positive moments introduced by Andrews et al. [‘The odd moments of ranks and cranks’, J. Combin. Theory Ser. A120(1) (2013), 77–91].

Keywords

integer partitionspartition rankpartition crankmoments

MSC classification

Primary: 11P81: Elementary theory of partitions
Secondary: 05A17: Partitions of integers
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 93 , Issue 1 , February 2016 , pp. 31 - 36
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

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