On Conjectures Concerning the Smallest Part and Missing Parts of Integer Partitions
Author:
Publisher
Springer Science and Business Media LLC
Subject
Discrete Mathematics and Combinatorics
Link
https://link.springer.com/content/pdf/10.1007/s00026-021-00528-5.pdf
Reference8 articles.
1. G.E. Andrews, M. Beck, and N. Robbins. Partitions with fixed differences between largest and smallest parts. Proc. Amer. Math. Soc., 143(10):4283–4289, 2015.
2. J. L. Ramírez Alfonsín. The Diophantine Frobenius problem, volume 30 of Oxford Lecture Series in Mathematics and its Applications. Oxford University Press, Oxford, 2005.
3. D. Binner. The number of solutions to $$ax+by+cz=n$$ and its relation to quadratic residues. Journal of Integer Sequences, 23(20.6.5), 2020.
4. A. Berkovich and A. K. Uncu. New weighted partition theorems with the emphasis on the smallest part of partitions. In Analytic number theory, modular forms and $$q$$-hypergeometric series, volume 221 of Springer Proc. Math. Stat., pages 69–94. Springer, Cham, 2017.
5. A. Berkovich and A. K. Uncu. Some elementary partition inequalities and their implications. Ann. Comb., 23:263–284, 2019.
Cited by 2 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. A Comparison of Integer Partitions Based on Smallest Part;The Electronic Journal of Combinatorics;2024-01-12
2. Berkovich–Uncu Type Partition Inequalities Concerning Impermissible Sets and Perfect Power Frequencies;Annals of Combinatorics;2023-03-16
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