ACADSTAFF UGM
| Title | : | ON SOME CONGRUENCES FOR ANDREWS’ SINGULAR OVERPARTITIONS |
| Author | : |
Uha Isnaini, S.Si., M.Sc., Ph.D. (1) Pee Choon Toh (2) |
| Date | : | 0 2018 |
| Keyword | : | Partitions,Congruences Partitions,Congruences |
| Abstract | : | Andrews’ singular overpartitions can be enumerated by $\overline{C}_{k,i}(n)$, the number ofcoverpartitions of n where only parts congruent to $\pm i \pmod{k}$ may be overlined, and no part is divisible by $k$. A number of authors have studied congruences satisfied by singular overpartitions. In particular, congruences for $\overline{C}_{3,1}(n)$ modulo $3, 8, 9, 18, 32, 36, 64, 72$ and $144$ have been proved. In this article, we prove new congruences modulo $108, 192, 288$ and $432$ for $\overline{C}_{3,1}(n).$ |
| Group of Knowledge | : | Matematika |
| Original Language | : | English |
| Level | : | Internasional |
| Status | : |
Published
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| No | Title | Action |
|---|---|---|
| 1 |
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