Artigos:
Chaves, A. P., Marques, D., Togbe, A. “On the Sum of Powers of Terms of a Linear Recurrence Sequence.” Bulletin of the Brazilian Mathematical Society, v.43: 397 – 406, 2012.
Chaves, A. P., Marques, D. “A Diophantine equation related to the sum of squares of consecutive k-generalized Fibonacci numbers.” The Fibonacci Quarterly, v. 52, p. 70–74, 2014.
Chaves, A. P., Marques, D. “An explicit family of Um Numbers.” Elemente der Mathematik (Printed ed.), v. 69, p. 18–22, 2014.
Chaves, A. P., Marques, D. “Fibonacci s-Cullen and s-Woodall Numbers” Journal of Integer Sequences, v. 18, p. 49–52, 2015.
Chaves, A. P., Marques, D. “A Diophantine Equation Related to the Sum of Powers of Two Consecutive k−Generalized Fibonacci Numbers.” Journal of Number Theory, v. 156, p. 1-14, 2015.
Chaves, A. P., “Álgebra e Teoria dos Números para Olimpíadas” Professor de Matemática Online, v. 7, n. 1, p. 65-75, 2019.
Chaves, A. P., Trojovský, P., “A Quadratic Diophantine Equation Involving Generalized Fibonacci Numbers”, Mathematics, v. 8, n. 6, 2020.
Chaves, A. P., Patel, B. K., "On the Exponential Diophantine Equation $F_{n+1}^{x} - F_{n-1}^{x} = F_{m}$" , Mediterranean Journal of Mathematics, v. 18, Article number: 187, 2021.
Chaves, A. P., Marques, D., Trojovský, P., “On the Arithmetic Behavior of Liouville Numbers under Rational Maps.”, Bulletin of the Brazilian Mathematical Society, New Series, v. 52 (4), p. 803–813, 2021.
Livros:
Chaves, A. P., Porto, T. “Seis Maneiras de Salvar Hipasus da Morte: A Irracionalidade de 2.” IMECC - UNICAMP, 41 p., 2012.
Outros:
Chaves, A. P., "Sobre a Classificação de Mahler dos Números Transcendentes" - Dissertação de Mestrado, Universidade Federal do Ceará (2010)
Chaves, A. P., "Equações Diofantinas Envolvendo Potências de Termos de Sequências Recorrentes." - Tese de Doutorado, Universidade de Brasília (2013)