On the zeros of a class of generalised Dirichlet series. XIV
type: Item
instance of: scholarly article
title: On the zeros of a class of generalised Dirichlet series. XIV
zbMATH Open document ID: 0796.11038
DOI: 10.1007/BF02830880
author: R. Balasubramanian
author: K. Ramachandra
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1994-07-04T00:00:00Z
review text: [Parts XII and XIII have been reviewed in Zbl 0781.11033 and Zbl 0781.11034, respectively.] The main theorems in this paper give sufficient conditions for the existence of ``many'' zeros of a generalized Dirichlet series near the critical line \(\sigma=1/2\). The results are of the following general nature: If the series is ``sufficiently similar'' to the Riemann zeta- function in a certain sense, then the density of its zeros in neighbourhoods of the critical line is more or less comparable with that of the zeta-function.
reviewed by: Matti Jutila
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 11M06
zbMATH DE Number: 562809
zbMATH Keywords: distribution of zeros
zbMATH Keywords: generalized Dirichlet series
MaRDI profile type: Publication
cites work: Q3879321
cites work: Q3937489
cites work: On the zeros of a class of generalised Dirichlet series. VI
cites work: On the zeros of generalised Dirichlet series. V.
cites work: Some remarks on a theorem of Montgomery and Vaughan
cites work: Q3735790
description: scientific article; zbMATH DE number 562809