New expressions for Stieltjes constants
type: Item
instance of: scholarly article
title: New expressions for Stieltjes constants
zbMATH Open document ID: 0940.11013
author: Marc-Antoine Coppo
published in: Expositiones Mathematicae
publication date: 2000-07-26T00:00:00Z
review text: The author defines the Stieltjes functions by using Ramanujan's summation [\textit{B. Candelpergher, M. A. Coppo} and \textit{E. Delabaere}, Enseign. Math., II. Sér. 43, 93-132 (1997; Zbl 0884.40008)]. From this definition he derives new and classical expressions of the Stieltjes constants, which take place in the Laurent expansion of the Riemann zeta-function at pole~1.
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 11M06
Mathematics Subject Classification ID: 40G99
zbMATH DE Number: 1394884
zbMATH Keywords: Stieltjes functions
zbMATH Keywords: Stieltjes constants
zbMATH Keywords: Euler constant
zbMATH Keywords: Ramanujan's summation method
zbMATH Keywords: Laurent expansion
zbMATH Keywords: Riemann zeta-function
reviewed by: Daniel Duverney
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1394884