Preprints and Accepted / Published papers:


Here is a list of my publicatios that I reached jointly with (in order of appeareance): Vladas Sidoravicius, Marcelo Hilario, Bernado Lima, Susana Frómeta, Ricardo Misturini, Winston Heap, Jing Zhao, Caio Bueno, Kevin Medeiros, Gopal Maiti, Olivier Ramaré and Priyamvad Srivastav.


Click in the "Journal" to acess the journal, in the "arXiv" for the arXiv version, and in "DOI" for the published version. I keep an effort to make the same the published and the arXiv version, but sometimes there may be small differences. 

18. On the expected number of roots of a random Dirichlet polynomial, with Caio Bueno, preprint, [arXiv]

17. Convolution of periodic multiplicative functions and the divisor problem, with Gopal Maiti, Olivier Ramaré and Priyamvad Srivastav, preprint, [arXiv]

16. Sign changes of the partial sums of a random multiplicative function II, Comptes Rendus Mathématique, accepted paper, [arXiv

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]

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


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]


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


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]     


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]                                                                                                                                                                                                      

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


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