Luis Manuel Navas Vicente

collaborators

4 papers

math.RA2025

Characterization of subfields of adelic algebras by a product formula

Luis Manuel Navas Vicente, Francisco J. Plaza Martin

We consider projective, irreducible, non-singular curves over an algebraically closed field $\k$. A cover $Y \to X$ of such curves corresponds to an extension $Ω/Σ$ of their functi…

math.AG2023

Kummer theory over the geometric adeles of an algebraic curve

Luis Manuel Navas Vicente, Francisco J. Plaza Martín, Álvaro Serrano Holgado

Our goal is to give a purely algebraic characterization of finite abelian Galois covers of a complete, irreducible, non-singular curve $X$ over an algebraically closed field $\k$.…

math.NT2023

The Lerch-type zeta function of a recurrence sequence of arbitrary degree

Álvaro Serrano Holgado, Luis Manuel Navas Vicente

We consider the series $\sum_{n = 1}^{\infty} z^{n} (a_{n} + x)^{- s}$ where $a_{n}$ satisfies a linear recurrence of arbitrary degree with integer coefficients. Under appropriate con…

math.NT2023

The zeta function of a recurrence sequence of arbitrary degree

Álvaro Serrano Holgado, Luis Manuel Navas Vicente

We consider a Dirichlet series $\sum_{n = 1}^{\infty} a_{n}^{- s}$ , where $a_{n}$ satisfies a linear recurrence of arbitrary degree with integer coefficients. Under suitable hypotheses, we…