Abstract
AbstractWe 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.
Publisher
Cambridge University Press (CUP)
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. 6-regular partitions: new combinatorial properties, congruences, and linear inequalities;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-08-25
2. A reversal of Schur’s partition theorem;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-09-23
3. Sign behaviour of sums of weighted numbers of partitions;The Ramanujan Journal;2022-06-22
4. A further look at cubic partitions;The Ramanujan Journal;2021-11-03