A note on the zeros of approximations of the Ramanujan Ξ−function
Peer reviewed, Journal article
Published version
Åpne
Permanent lenke
https://hdl.handle.net/11250/2734278Utgivelsesdato
2020Metadata
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- Institutt for matematiske fag [2532]
- Publikasjoner fra CRIStin - NTNU [38672]
Originalversjon
https://doi.org/10.1007/s11139-020-00321-7Sammendrag
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.