Claudio Muñoz

activity

20242026

collaborators

6 papers

math.NT2026

Upper Bounds on the de Bruijn-Newman constant for Dirichlet $L$ -functions with primitive real-valued characters

Ricardo Freire, Cristian González-Riquelme, Claudio Muñoz +2

Let $χ_{m}$ be a primitive real-valued Dirichlet character of conductor $m \geq 3$ , let $L (s) = L (s, χ_{m})$ be the associated Dirichlet $L$ -function, and let $ξ_{L} (s)$ denote its completed f…

math.AP2025

Dynamics of generalized abcd Boussinesq solitary waves under a slowly variable bottom

André de Laire, Olivier Goubet, María Eugenia Martínez +2

The Boussinesq $ab c d$ system is a 4-parameter set of equations posed in $R_{t} \times R_{x}$ , originally derived by Bona, Chen and Saut as first-order 2-wave approximatio…

math.AP2025

A note on two Collatz evolution flows

Francisco Alegría, Matías Morales, Claudio Muñoz +1

Two evolution models based on the generalized Collatz operator are introduced. These models are characterized by coefficients $α$ and $β$ in the Collatz dynamics, and are suitably…

math.AP2024

On uniqueness of KP soliton structures

Francisco Alegría, Gong Chen, Claudio Muñoz +2

We consider the Kadomtsev-Petviashvili II (KP) model placed in $R_{t} \times R_{x, y}^{2}$ , in the case of smooth data that are not necessarily in a Sobolev space. In th…

math.AP2024

Uniqueness of quasimonochromatic breathers for the generalized Korteweg-de Vries and Zakharov-Kuznetsov models

Jorge Faya, Pablo Figueroa, Claudio Muñoz +1

Consider the generalized Korteweg-de Vries (gKdV) equations with power nonlinearities $q = 2, 3, 4 \dots$ in dimension $N = 1$ , and the Zakharov-Kuznetsov (ZK) model with integer power n…

math.AP2024

The Generalized Riemann Zeta heat flow

Víctor Castillo, Claudio Muñoz, Felipe Poblete +1

We consider the PDE flow associated to Riemann zeta and general Dirichlet $L$ -functions. These are models characterized by nonlinearities appearing in classical number theory probl…

Upper Bounds on the de Bruijn-Newman constant for Dirichlet L-functions with primitive real-valued characters

Dynamics of generalized abcd Boussinesq solitary waves under a slowly variable bottom

A note on two Collatz evolution flows

On uniqueness of KP soliton structures

Uniqueness of quasimonochromatic breathers for the generalized Korteweg-de Vries and Zakharov-Kuznetsov models

The Generalized Riemann Zeta heat flow

Upper Bounds on the de Bruijn-Newman constant for Dirichlet $L$ -functions with primitive real-valued characters