Details
| Original language | English |
|---|---|
| Pages (from-to) | 59-64 |
| Number of pages | 6 |
| Journal | Annals of combinatorics |
| Volume | 20 |
| Issue number | 1 |
| Early online date | 31 Oct 2015 |
| Publication status | Published - Mar 2016 |
Abstract
Extending the partition function multiplicatively to a function on partitions, we show that it has a unique maximum at an explicitly given partition for any n ≠ 7. The basis for this is an inequality for the partition function which seems not to have been noticed before.
Keywords
- partition function, partitions
ASJC Scopus subject areas
- Mathematics(all)
- Discrete Mathematics and Combinatorics
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In: Annals of combinatorics, Vol. 20, No. 1, 03.2016, p. 59-64.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Maximal Multiplicative Properties of Partitions
AU - Bessenrodt, Christine
AU - Ono, Ken
N1 - Funding Information: The second author thanks the NSF and the Asa Griggs Candler Fund for their generous support.
PY - 2016/3
Y1 - 2016/3
N2 - Extending the partition function multiplicatively to a function on partitions, we show that it has a unique maximum at an explicitly given partition for any n ≠ 7. The basis for this is an inequality for the partition function which seems not to have been noticed before.
AB - Extending the partition function multiplicatively to a function on partitions, we show that it has a unique maximum at an explicitly given partition for any n ≠ 7. The basis for this is an inequality for the partition function which seems not to have been noticed before.
KW - partition function
KW - partitions
UR - http://www.scopus.com/inward/record.url?scp=84958774615&partnerID=8YFLogxK
U2 - 10.1007/s00026-015-0289-2
DO - 10.1007/s00026-015-0289-2
M3 - Article
AN - SCOPUS:84958774615
VL - 20
SP - 59
EP - 64
JO - Annals of combinatorics
JF - Annals of combinatorics
SN - 0218-0006
IS - 1
ER -