Preprints and Accepted / Published papers:

Click in the "Journal" to acess the journal, in the "arXiv" for the arXiv version, and in "DOI" for the published version. 

The papers are grouped by subject, and the numeration indicates the ordering of production. Here is link to my arXiv profile.

Random Multiplicative functions

23. Visits to zero of sums of random multiplicative functions, with Rodrigo Angelo, João Campos-Vargas, Oleksiy Klurman and Max Xu, in preparation

20. Sign changes of the partial sums of a random multiplicative function III: Average, Bulletin de la Société Mathématique de France, to appear, [arXiv] 

19. On the positivity of some weighted partial sums of a random multiplicative function, Mathematische  Zeitschrift., vol 311, paper no 40, 2025 [arXiv][DOI] 

16. Sign changes of the partial sums of a random multiplicative function II, Comptes Rendus Mathématique, vol 362, p. 895-901, 2024, [arXiv][DOI] 

13. Sign changes of the partial sums of a random multiplicative function, with Winston Heap and Jing Zhao, Bulletin of the London Mathematical Society, vol 55, 1, 78-89, 2023, [arXiv] [DOI]

7. Random multiplicative functions: The Selberg-Delange Class, Electronic Communications in Probability, vol 26, 1-8, 2021, [arXiv] [DOI] 

6. Partial sums of random multiplicative functions and extreme values of a model for the Riemann zeta function, with Winston Heap and Jing Zhao, Journal of the London Mathematical Society, vol 103, p. 1618-1642, 2021, [arXiv] [DOI]     

1. Partial sums of biased random multiplicative functions, with Vladas Sidoravicius, Journal of Number Theory, v. 172, 343-382, 2017, [arXiv] [DOI]                                                                                                                                          

Extremal Behavior of Partial Sums of Multiplicative Functions

21. Omega bounds for the partial sums of some modified Dirichlet characters II, with Ana Paula Chaves and Maria Eduarda Ramos, [arXiv]

17. Convolution of periodic multiplicative functions and the divisor problem, with Gopal Maiti, Olivier Ramaré and Priyamvad Srivastav, Canadian Journal of Mathematics, vol 77, 6, pp 1966-1984, 2025 [arXiv][DOI]

14. Omega bounds for the partial sums of some modified Dirichlet characters, Quarterly Journal of Mathematics, vol 74, 4, 1223-1235, 2023 [arXiv][DOI]

12. Complex valued multiplicative functions with bounded partial sums, Bulletin of the Brazilian Mathematical Society,  vol 53, 4, 1317-1329, 2022, [arXiv] [DOI]

11. Multiplicative functions supported on the k-free integers with small partial sums, with Caio Bueno and Kevin Medeiros, The Ramanujan Journal, vol 59, 3,  713-728, 2022, [arXiv] [DOI]

10. On multiplicative functions that are small on average and zero free regions for the Riemann zeta function, Lithuanian Mathematical Journal, vol 62, 2, pp 146-149, 2022, [arXiv] [DOI] 

9. The Erdös discrepancy problem over the squarefree and cubefree integers, Mathematika, vol 68, 1, pp 51-73, 2022, [arXiv] [DOI]

4. A note on multiplicative functions resembling the Möbius function, Journal of Number Theory, v. 212, 113-121, 2020, [arXiv] [DOI]         

Random Dirichlet Polynomials and Dirichlet Series

18. On the expected number of roots of a random Dirichlet polynomial, with Caio Bueno, Acta Arithmetica, v 220, 4, p. 305-321, 2025 [arXiv][DOI]

15. How many real zeros does a random Dirichlet series have?, with Susana Frómeta and Ricardo Misturini, Electronic Journal of Probability, vol 29, p. 1-17, 2024 [arXiv][DOI]

3. Law of the iterated logarithm for a random Dirichlet series, with Susana Frómeta and Ricardo Misturini, Electronic Communications in Probability, v. 25, 1-14, 2020, [arXiv] [DOI]

2. Real zeros of random Dirichlet series, Electronic Communications in Probability, v. 24, 1-8, 2019, [arXiv] [DOI]

Prime Numbers in Arithmetic Progressions

8. A note on prime number races and zero free regions for L functions, International Journal of Number Theory, vol 18, 1,  1-8, 2022, [arXiv] [DOI] 

Percolation Theory

5. Bernoulli hyperplane percolation, with Marcelo Hilário, Bernardo de Lima and Vladas Sidoravicius, Progress in Probability, In and Out of equilibrium 3: Celebrating Vladas Sidoravicius,  vol 77, Birkhäuser,  71-99, 2021, [arXiv][DOI]                                                                                                 

Expository articles

22. Riemann hypothesis: 165 years and counting..., Matemática Contemporânea, [DOI]                                                                                            

Coauthors