# metadata.dc.description[].value
Treballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Curs: 2023-2024.  Director: Jordi Marzo Sánchez

# metadata.dc.description.abstract[].value
We find minimizing configurations for most of the Riesz-$s$ energies on the unit circle $S^{1}$ . We also provide a complete asymptotic expansion of the Riesz-$s$ energy associated to $N$ equally spaced points on the $S^{1}$. Finally, we present Chui's conjecture, prove a partial result and show how it leads to an interesting consequence about function approximation in the Bergman space.

# metadata.dc.rights[].value
cc by-nc-nd (c) David Arribas Viera, 2024