Arithmetic properties of partition functions

• Grant number: 19/14796-8
• Support Opportunities: Regular Research Grants
• Start date: November 01, 2019
• End date: October 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Robson Oliveira da Silva
• Grantee: Robson Oliveira da Silva
• 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
• Associated researchers: Eduardo Henrique de Mattos Brietzke ; James A Sellers

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)

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.. Congruences for the coefficients of the Gordon and McIntosh mock theta function xi(q). RAMANUJAN JOURNAL, AUG 2021. (19/14796-8)

DA SILVA, ROBSON; SELLERS, JAMES A.. Congruences for 3-core cubic partitions. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, v. N/A, p. 17-pg., 2022-05-13. (19/14796-8)

DA SILVA, ROBSON; SELLERS, JAMES A.. ARITHMETIC PROPERTIES OF 3-REGULAR PARTITIONS IN THREE COLOURS. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v. 104, n. 3, p. 415-423, DEC 2021. (19/14796-8)

DA SILVA, ROBSON; HIRSCHHORN, MICHAEL D.; SELLERS, JAMES A.. Elementary proofs of infinitely many congruences for k-elongated partition diamonds. DISCRETE MATHEMATICS, v. 345, n. 11, p. 12-pg., 2022-06-10. (19/14796-8)