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pro vyhledávání: '"Erin Y. Y. Shen"'
Autor:
Robert X. J. Hao, Erin Y. Y. Shen
Publikováno v:
The Ramanujan Journal. 57:785-802
Andrews, Lewis, and Lovejoy introduced the partition function PD(n) as the number of partitions of n with designated summands. A bipartition of n is an ordered pair of partitions $$(\pi _1, \pi _2)$$ with the sum of all of the parts being n. In this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ac1c26c3f05c507ece4635ecff16ef2
https://doi.org/10.1007/s11139-021-00462-3
https://doi.org/10.1007/s11139-021-00462-3
Autor:
Robert X. J. Hao, Erin Y. Y. Shen
Publikováno v:
International Journal of Number Theory. 17:2153-2173
An [Formula: see text]-regular overpartition of [Formula: see text] is an overpartition of [Formula: see text] into parts not divisible by [Formula: see text]. Let [Formula: see text] be the number of [Formula: see text]-regular overpartitions of [Fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bedde0051e735f0e6f0655e3bc446575
https://doi.org/10.1142/s1793042121500810
https://doi.org/10.1142/s1793042121500810
Publikováno v:
Discrete Mathematics. 344:112556
Andrews, Lewis and Lovejoy introduced the partition function $PD(n)$ as the number of partitions of $n$ with designated summands. In a recent work, Lin studied a partition function $PD_{t}(n)$ which counts the number of tagged parts over all the part
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23feade31ee8a3a44f029962dabade47
https://doi.org/10.1016/j.disc.2021.112556
https://doi.org/10.1016/j.disc.2021.112556
Autor:
Erin Y. Y. Shen
Publikováno v:
International Journal of Number Theory. 13:717-724
In a recent work, Andrews introduced the new combinatorial objects called singular overpartitions. He proved that these singular overpartitions can be enumerated by the partition function [Formula: see text] which denotes the number of overpartitions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21b3a6c31b6e788dc539c65e606a9602
https://doi.org/10.1142/s1793042117500361
https://doi.org/10.1142/s1793042117500361
Autor:
Erin Y. Y. Shen
Publikováno v:
International Journal of Number Theory. 12:841-852
Recently, Andrews introduced the partition function [Formula: see text] as the number of overpartitions of [Formula: see text] in which no part is divisible by [Formula: see text] and only parts [Formula: see text] may be overlined. He proved that [F
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78952dc06f73777573d2dfa05a73fb40
https://doi.org/10.1142/s1793042116500548
https://doi.org/10.1142/s1793042116500548
Publikováno v:
Journal of Number Theory. 133:2929-2938
Andrews, Lewis and Lovejoy introduced the partition function PD ( n ) as the number of partitions of n with designated summands, where we assume that among parts with equal size, exactly one is designated. They proved that PD ( 3 n + 2 ) is divisible
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::efab1602d4b99e945f6aa2c6ce9e45c0
https://doi.org/10.1016/j.jnt.2013.02.010
https://doi.org/10.1016/j.jnt.2013.02.010