The Ronkin number of an exponential sum

Abstract

We give an intrinsic estimate of the number of connected components of the complementary set to the amoeba of an exponential sum with real spectrum improving the result of Forsberg, Passare and Tsikh in the polynomial case and that of Ronkin in the exponential one.

22 pages, 5 figures

References in corpus (3)

• Maximally Sparse Polynomials have Solid Amoebas
• Amibes de Sommes d'Exponentielles
• Bochner transforms, perturbations and amoebae of holomorphic almost periodic mappings in tube domains

Cited by in corpus (3)

• Newton Polytopes and Relative Entropy Optimization
• Tropical Varieties for Exponential Sums
• The Lattice of Amoebas