Zeta zeros and Dirichlet L-functions. II
type: Item
instance of: scholarly article
title: Zeta zeros and Dirichlet L-functions. II
zbMATH Open document ID: 0669.10062
author: Akio Fujii
published in: Proceedings of the Japan Academy. Series A
publication date: 1988-01-01T00:00:00Z
review text: This is Part II of the author's paper [ibid. 64, No.6, 215-218 (1988; Zbl 0663.10044)] on exponential sums over \(\gamma\), which denotes positive imaginary parts of the zeros of the Riemann zeta-function \(\zeta\) (s). In the present paper the author obtains asymptotic evaluation of several new exponential sums over the \(\gamma\) 's, assuming the Riemann Hypothesis (or in some cases the Generalized Riemann Hypothesis). The results are too complicated to be reproduced here.
Mathematics Subject Classification ID: 11M06
Mathematics Subject Classification ID: 11L03
Mathematics Subject Classification ID: 11J71
zbMATH DE Number: 4095599
zbMATH Keywords: Dirichlet L-functions
zbMATH Keywords: positive imaginary parts of the zeros
zbMATH Keywords: Riemann zeta-function
zbMATH Keywords: asymptotic evaluation
zbMATH Keywords: exponential sums
zbMATH Keywords: Riemann Hypothesis
zbMATH Keywords: Generalized Riemann Hypothesis
reviewed by: Aleksandar Ivić
MaRDI profile type: Publication
full work available at URL: pjaa.64.296
OpenAlex ID: W2031288907
cites work: Q3950641
cites work: Q3729003
cites work: Q5823347
cites work: Вертикальные распределения нулей дзета-функции и расширенная гипотеза Римана
DOI: 10.3792/PJAA.64.296
description: scientific article; zbMATH DE number 4095599