Males, Joshua ORCID: 0000-0002-0324-601X (2021). Asymptotic equidistribution and convexity for partition ranks. Ramanujan J., 54 (2). S. 397 - 414. DORDRECHT: SPRINGER. ISSN 1572-9303

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Abstract

We study the partition rank function N(r, t; n), the number of partitions with rank congruent to r modulo t. We first show that it is monotonic in n above a given bound, and then show that it equidistributed as n ->infinity Using this result we prove a conjecture of Hou and Jagadeeson on the convexity of N(r, t; n).

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Males, JoshuaUNSPECIFIEDorcid.org/0000-0002-0324-601XUNSPECIFIED
URN: urn:nbn:de:hbz:38-562498
DOI: 10.1007/s11139-019-00202-8
Journal or Publication Title: Ramanujan J.
Volume: 54
Number: 2
Page Range: S. 397 - 414
Date: 2021
Publisher: SPRINGER
Place of Publication: DORDRECHT
ISSN: 1572-9303
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/56249

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