2 papers
math.NT2023
A connection between the poles of the zeta function of a recurrence sequence and the module of relations of its roots
Álvaro Serrano Holgado
Answering a question left open in previous research, we study the enumeration of poles of the zeta function associated to an integer linear recurrence sequence . Th…
math.NT2021
Prime Spectrum of the Ring of Adeles of a Number Field
Álvaro Serrano Holgado
Much is known about the adele ring of an algebraic number field from the perspective of Harmonic Analysis and Class Field Theory. However, its ring-theoretical aspects are often ig…