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| Full text | |
| Author(s): |
da Silva, Robson
;
de Oliveira, Kelvin Souza
;
da Graca Neto, Almir Cunha
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Colloquium Mathematicum; v. 159, n. 1, p. 13-pg., 2020-01-01. |
| Abstract | |
Ramanuj an-type congruences satisfied by functions that enumerate partitions whose parts belong to a finite set are well-known and have been studied by many authors. In this paper, we let the parts belong to the infinite set of integers congruent to +/- l modulo m and we obtain infinitely many Ramanuj an-type congruences for the corresponding number of partitions into exactly k parts, p(+/- l)(m)(n,k). We also consider two other restricted partition functions. (AU) | |
| FAPESP's process: | 16/14057-2 - Additive number theory in the integers and in function fields |
| Grantee: | Robson Oliveira da Silva |
| Support Opportunities: | Scholarships abroad - Research |