4 papers
Bounding the log-derivative of the zeta-function
Andrés Chirre, Felipe Gonçalves
Assuming the Riemann hypothesis we establish explicit bounds for the modulus of the log-derivative of Riemann's zeta-function in the critical strip.
Bounds for the Lonely Runner Problem via Linear Programming
Felipe Gonçalves, João P. G. Ramos
In this note we develop a linear programming framework to produce upper and lower bounds for the lonely runner problem.
On regularity and mass concentration phenomena for the sign uncertainty principle
Felipe Gonçalves, Diogo Oliveira e Silva, João P. G. Ramos
The sign uncertainty principle of Bourgain, Clozel & Kahane asserts that if a function and its Fourier transform are nonpositive at the…
Pair Correlation Estimates for the Zeros of the Zeta Function via Semidefinite Programming
Andrés Chirre, Felipe Gonçalves, David de Laat
In this paper we study the distribution of the non-trivial zeros of the Riemann zeta-function (and other L-functions) using Montgomery's pair correlation approach. We use se…