Some new results on the number of tagged parts over the partitions with designated summands in which all parts are odd

被引：0
|
作者：
Vandna [1 ]
Kaur, Mandeep [1 ]
机构：
[1] Lovely Profess Univ, Dept Math, Phagwara 144411, Punjab, India
来源：
JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY | 2022年 / 37卷 / 04期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let PDOt(n) count the number of tagged parts over the partition function PDO(n), the number of partitions of n with designated summands in which all parts are odd. In this paper, we obtain some new generating functions concerning PDOt(n). Also, we establish several new congruences and infinite families of congruences modulo 16, 48, 144, 288, 1152 and 6912 satisfied by PDOt(n).
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页码：419 / 435
页数：17
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