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
Full text not available from this repository.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: |
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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: |
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URI: | http://kups.ub.uni-koeln.de/id/eprint/56249 |
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