Amibes de Sommes d'Exponentielles

James Silipo (1)

1 LaBAG - Laboratoire Bordelais d'Analyse et Géométrie

We study the amoebae (in S. Favorov's sense) of finite systems of exponential sums with real spectra. For generic systems of this type, we give a more effective representation of the amoeba and we prove that the complementary set to the amoeba of a system with r exponential sums is a (r-1)-convexe set.

Domaines: Variables complexes [math.CV]; Combinatoire [math.CO]

James Silipo. Amibes de Sommes d'Exponentielles. 2005. ⟨hal-00117987⟩