The signs of the Stieltjes constants associated with the Dedekind zeta function.

Authors :: SAAD EDDIN, Sumaia
Source :: Proceedings of the Japan Academy, Series A: Mathematical Sciences. Dec2018, Vol. 94 Issue 10, p93-96. 4p.
Publication Year :: 2018
Abstract: The Stieltjes constants γn(K) of a number field K are the coefficients of the Laurent expansion of the Dedekind zeta function ςK(s) at its pole s = 1. In this paper, we establish a similar expression of γn(K) as Stieltjes obtained in 1885 for γn(Q). We also study the signs of γn(K). [ABSTRACT FROM AUTHOR]

Subjects :: *STIELTJES integrals
*DEDEKIND sums
*ZETA functions
*LAURENT series
*EULER'S numbers

Language :: English
ISSN :: 03862194
Volume :: 94
Issue :: 10
Database :: Academic Search Index
Journal :: Proceedings of the Japan Academy, Series A: Mathematical Sciences
Publication Type :: Academic Journal
Accession number :: 133229400
Full Text :: https://doi.org/10.3792/pjaa.94.93

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