An Infinite Family of Congruences for `-regular Overpartitions
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چکیده
We consider new properties of the combinatorial objects known as overpartitions (which are natural generalizations of integer partitions). In particular, we establish an infinite set of Ramanujan-type congruences for the restricted overpartitions known as `-regular overpartitions. This significantly extends the recent work of Shen which focused solely on 3–regular overpartitions and 4–regular overpartitions. 2010 Mathematics Subject Classification: 05A17, 11P83
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تاریخ انتشار 2015