A note on the zeros of approximations of the Ramanujan $\Xi-$function

Andr\'es Chirre; Oswaldo Vel\'asquez Casta\~n\'on

arxiv: 2004.14465 · v1 · pith:Z4HH72ED · submitted 2020-04-29 · math.NT · math.CV

A note on the zeros of approximations of the Ramanujan Xi-function

Andr\'es Chirre , Oswaldo Vel\'asquez Casta\~n\'on This is my paper

Reviewed by Pithpith:Z4HH72ED open to challenge →

classification math.NT math.CV

keywords zerosapproximationscertainfunctionramanujanapproachasquezcondition

0 comments

read the original abstract

In this paper, we review the study of the distribution of the zeros of certain approximations for the Ramanujan $\Xi-$function given by Haseo Ki, and we provide a new proof of his results. Our approach is motivated by the ideas of Vel\'asquez in the study of the zeros of certain sums of entire functions with some condition of stability related to the Hermite-Biehler theorem.

This paper has not been read by Pith yet.

A note on the zeros of approximations of the Ramanujan Xi-function

discussion (0)