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ON THE SUM OF PARTS IN THE PARTITIONS OF n INTO DISTINCT PARTS
Published online by Cambridge University Press: 11 December 2020
Abstract
We investigate the sum of the parts in all the partitions of n into distinct parts and give two infinite families of linear inequalities involving this sum. The results can be seen as new connections between partitions and divisors.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 104 , Issue 2 , October 2021 , pp. 228 - 237
- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.
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