12 citations · 29 across the 12 of their papers we have counts for
5 papers · 1 filter
Sphere Packings in Euclidean Space with Forbidden Distances
Felipe Gonçalves, Guilherme Vedana
We study the sphere packing problem in Euclidean space where we impose additional constraints on the separations of the center points. We prove that any sphere packing in dimension…
Multiplicity of nontrivial zeros of primitive L-functions via higher-level correlations
Felipe Gonçalves, David de Laat, Nando Leijenhorst
We give universal bounds on the fraction of nontrivial zeros having given multiplicity for L-functions attached to a cuspidal automorphic representation of $\mathrm{GL}_m/\mathbb{Q…
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.
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…