Publicación:
A note on the zeros of approximations of the Ramanujan Ξ -function
A note on the zeros of approximations of the Ramanujan Ξ -function
No hay miniatura disponible
Fecha
2020
Autores
Chirre A.
Castañón O.V.
Título de la revista
Revista ISSN
Título del volumen
Editor
Springer
Proyectos de investigación
Unidades organizativas
Número de la revista
Abstracto
In this paper we review the study of the distribution of the zeros of certain approximations for the Ramanujan Ξ -function given by Ki (Ramanujan J 17(1):123–143, 2008), and we provide new proofs of his results. Our approach is motivated by the ideas of Velásquez (J Anal Math 110:67–127, 2010) in the study of the zeros of certain sums of entire functions with some condition of stability related to the Hermite–Biehler theorem. © 2020, The Author(s).
Descripción
Palabras clave
Zeros of approximations of the Ramanujan Ξ -function,
Distribution of zeros of entire functions,
Ramanujan zeta function,
Riemann hypothesis