On a conjecture of Soon-Yi Kang on a certain partition rank difference

Byungchan Kim; Hayan Nam

doi:10.1007/s11139-014-9561-z

On a conjecture of Soon-Yi Kang on a certain partition rank difference

Byungchan Kim
, Hayan Nam

School of Natural Sciences

Yonsei University

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

3 Scopus citations

Abstract

Recently, Soon-Yi Kang conjectures that the sign of a certain arithmetic function (Formula Presented.) is alternating. We prove her conjecture by employing the circle method and find a positivity result on certain weighted sum of partition functions as an application.

Original language	English
Pages (from-to)	467-477
Number of pages	11
Journal	Ramanujan Journal
Volume	35
Issue number	3
DOIs	https://doi.org/10.1007/s11139-014-9561-z
State	Published - Dec 2014

Keywords

Circle method
Integer partitions
Periodicity for the sign in the q-expansion

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title = "On a conjecture of Soon-Yi Kang on a certain partition rank difference",

abstract = "Recently, Soon-Yi Kang conjectures that the sign of a certain arithmetic function (Formula Presented.) is alternating. We prove her conjecture by employing the circle method and find a positivity result on certain weighted sum of partition functions as an application.",

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author = "Byungchan Kim and Hayan Nam",

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AU - Nam, Hayan

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KW - Integer partitions

KW - Periodicity for the sign in the q-expansion

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On a conjecture of Soon-Yi Kang on a certain partition rank difference

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Keywords

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