Additive number theory in the integers and in function fields

• Grant number: 16/14057-2
• Support Opportunities: Scholarships abroad - Research
• Start date: July 01, 2017
• End date: June 30, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Robson Oliveira da Silva
• Grantee: Robson Oliveira da Silva
• Host Investigator: George Eyre Andrews
• Host Institution: Instituto de Ciência e Tecnologia (ICT). Universidade Federal de São Paulo (UNIFESP). Campus São José dos Campos. São José dos Campos , SP, Brazil
• Institution abroad: Pennsylvania State University, United States

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.

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DA SILVA, ROBSON; SELLERS, JAMES A.. Infinitely Many Congruences for k-Regular Partitions with Designated Summands. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 51, n. 2, p. 357-370, JUN 2020. (16/14057-2)

DA SILVA, ROBSON; HOPKINS, BRIAN; SELLERS, JAMES A.. Garden of Eden States in Austrian Solitaire. EUROPEAN JOURNAL OF COMBINATORICS, v. 83, JAN 2020. (16/14057-2)

DA SILVA, ROBSON; DE OLIVEIRA, KELVIN SOUZA; DA GRACA NETO, ALMIR CUNHA. ARITHMETIC PROPERTIES OF PARTITIONS INTO k PARTS CONGRUENT TO +/- l MODULO m. Colloquium Mathematicum, v. 159, n. 1, p. 13-pg., 2020-01-01. (16/14057-2)

BRIETZKE, EDUARDO H. M.; DA SILVA, ROBSON; SELLERS, JAMES A.. Congruences related to an eighth order mock theta function of Gordon and McIntosh. Journal of Mathematical Analysis and Applications, v. 479, n. 1, p. 62-89, NOV 1 2019. (16/14057-2)