3 papers
math.FA2026
Asymptotic Contractivity of Bohnenblust-Hille Constants with Bounded Monomial Support
Nicolás Caro-Montoya, Daniel Núñez-Alarcón, Diana Serrano-Rodríguez
We study the optimal Bohnenblust-Hille constants for complex -homogeneous polynomials in any number of variables whose monomials with nonzero coefficient invol…
math.FA2024
The sharp constants in the real anisotropic Littlewood's inequality and applications
Nicolás Caro-Montoya, Daniel Núñez-Alarcón, Diana Serrano-Rodríguez
The real anisotropic Littlewood's inequality is an extension of a famous result obtained in 1930 by J. E. Littlewood. It asserts that, for , the f…
math.LO2023
Remarks on undecidability of indecomposable polynomial rings
Marco Barone, Nicolás Caro-Montoya, Eudes Naziazeno
We prove that arithmetic is interpretable in any indecomposable polynomial ring (in any set of variables), and in addition we provide an alternative uniform proof of undecidability…