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Title : On k-restricted Overpartitions
Author :

Uha Isnaini, S.Si., M.Sc., Ph.D. (1)

Date : 29 2019
Keyword : Partitions, Overpartitions, Congruences Partitions, Overpartitions, Congruences
Abstract : In this paper, we introduce k-restricted overpartitions, which are generalizations of overpartitions. In such partitions, among those parts of the same magnitude, one of the first k occurrences may be overlined. We first give the generating function and establish the 5-dissections of k-restricted overpartitions. Then we provide a combinatorial interpretation for certain Ramanujan type congruences modulo 5. Finally, we pose some problems for future work.
Group of Knowledge : Matematika
Original Language : English
Level : Internasional
Status :
Published
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