## Table of contents

Combinatorics/Ordinary differential equations

Majoration of the dimension of the space of concatenated solutions to a specific pantograph equation
Number theory/Mathematical analysis

Computation and theory of Euler sums of generalized hyperharmonic numbers
Mathematical analysis

Weak approximation by bounded Sobolev maps with values into complete manifolds
Complex analysis/Functional analysis

Complex variable approach to the analysis of a fractional differential equation in the real line
Partial differential equations

On the local existence for the Euler equations with free boundary for compressible and incompressible fluids
Algebraic geometry/Topology

An integrable connection on the configuration space of a Riemann surface of positive genus