Limit theorems for the Matsumoto zeta-function
type: Item
instance of: scholarly article
title: Limit theorems for the Matsumoto zeta-function
zbMATH Open document ID: 0859.11053
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 1997-04-09T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/227293
full work available at URL: jtnb8-1.html
review text: \textit{K. Matsumoto} [Lect. Notes Math. 1434, 178-187 (1990; Zbl 0705.11050)] introduced a general zeta-function \(\phi(s)\), defined by an Euler product, and proved distribution theorems for the frequency with which \(\log\phi (\sigma_0+it)\) lies in a given set. The present paper generalizes these results by using weighted frequencies.
reviewed by: D. R. Heath-Brown
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 11K65
zbMATH DE Number: 912503
zbMATH Keywords: Matsumoto zeta-function
zbMATH Keywords: weighted limit theorem
zbMATH Keywords: distribution theorems
zbMATH Keywords: weighted frequencies
author: Antanas Laurinčikas
MaRDI profile type: Publication
OpenAlex ID: W2314210509
cites work: Q5560061
cites work: Q4153376
cites work: Weighted limit theorem for the Riemann zeta-function
cites work: Q3484942
cites work: Q3855406
DOI: 10.5802/JTNB.161
description: scientific article; zbMATH DE number 912503