Explicit upper bounds for the Stieltjes constants
type: Item
instance of: scholarly article
title: Explicit upper bounds for the Stieltjes constants
zbMATH Open document ID: 1282.11106
author: Sumaia Saad Eddin
published in: Journal of Number Theory
publication date: 2013-01-18T00:00:00Z
review text: Let \(L\left( z,\chi \right) \) be the Dirichlet \(L\)-series corresponding to a primitive Dirichlet character \(\chi \) modulo \(q\). The author gives an explicit upper bounds for \(\left| \gamma _{n}\left( \chi \right) \right| \) for \( q\leq \frac{\pi }{2}\frac{e^{\left( n+1\right) /2}}{n+1}\), where \( \left( -1\right) ^{n}\frac{\gamma _{n}\left( \chi \right) }{n!}\) is the \(n\)-th coefficient of the Laurent expansion of \(L\left( z,\chi \right) \) near \( z=1.\)
reviewed by: Mehmet Cenkci
Mathematics Subject Classification ID: 11M06
Mathematics Subject Classification ID: 11L05
zbMATH DE Number: 6126851
zbMATH Keywords: Stieltjes coefficients
zbMATH Keywords: Dirichlet characters
zbMATH Keywords: \(L\)-functions
zbMATH Keywords: Gauss sums
zbMATH Keywords: functional equation
zbMATH Keywords: Matsuoka's formula
MaRDI profile type: Publication
full work available at URL: j.jnt.2012.09.001
OpenAlex ID: W1987362881
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DOI: 10.1016/J.JNT.2012.09.001
description: scientific article; zbMATH DE number 6126851