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Addison-type series representation for the Stieltjes constants

Authors :
Coffey, Mark W.
Source :
Journal of Number Theory. Sep2010, Vol. 130 Issue 9, p2049-2064. 16p.
Publication Year :
2010

Abstract

Abstract: The Stieltjes constants appear in the coefficients in the regular part of the Laurent expansion of the Hurwitz zeta function about its only pole at . We generalize a technique of Addison for the Euler constant to show its application to finding series representations for these constants. Other generalizations of representations of γ are given. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0022314X
Volume :
130
Issue :
9
Database :
Academic Search Index
Journal :
Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
51688998
Full Text :
https://doi.org/10.1016/j.jnt.2010.01.003