Abstract
This project is devoted to the study of arithmetic properties of partition functions. In particular, we are interested in functions which enumerate partitions of n and dependent on more parameters than just n (AU)
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Robson Oliveira da Silva
CV Lattes
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Universidade Federal de São Paulo (UNIFESP). Campus São José dos Campos. Instituto de Ciência e Tecnologia (ICT) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduate at Bacharelado em Matemática from Universidade Estadual de Campinas (2004) and master's at Mestrado em Matemática from Universidade Estadual de Campinas (2007). Has experience in Mathematics, focusing on Mathematics, acting on the following subjects: partições, funções simétricas, funções geradoras, problemas de enumeração combinatória and permutações. (Source: Lattes Curriculum)
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Research grants
Scholarships in Brazil
- Enumeration of partitions via recurrence relations, BP.IC
Abstract
This project is devoted to the study of recurrence relations that enumerate integer partitions satisfying certain conditions. In order to do so, generating functions, recurrence relations and Theory of Partitions will be studied in detail.
- Combinatorial aspects of partition identities, BP.IC
Abstract
This project aims the study of combinatorial proofs of partitions identities. Based on the combinatorial proofs of the classic results, proofs of this type will be seek for some identities that still do not have them.
Scholarships abroad
- Additive number theory in the integers and in function fields, BE.PQ
Abstract
This project is aimed to study properties of discrete nature in Additive Number Theory, both in Z and its field of fractions, Q, as in the more general context of function fields and polynomial rings over finite fields. In particular, we want to investigate what would be the analogues of integer partitions in function fields and investigate their properties, which has not yet been done.
Total / Available in English
| 1 / 1 | Completed research grants |
| 3 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 5 / 4 | All research grants and scholarships |
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