An approach to Euler-Mascheroni constant by Bernoulli numbers

In this paper, we give two different versions of the Euler-Maclaurin summation formula. By using these formulae, we obtain special series including the Bernoulli numbers and Riemann zeta function. Consequently, we show that this series is calculated by Euler-Mascheroni constant. 2010 Mathematics Sub...

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Bibliographic Details
Published inAIP conference proceedings Vol. 2293; no. 1
Main Author Aygunes, Aykut Ahmet
Format Journal Article Conference Proceeding
LanguageEnglish
Published Melville American Institute of Physics 24.11.2020
Online AccessGet full text
ISSN0094-243X
1551-7616
DOI10.1063/5.0026474

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Summary:In this paper, we give two different versions of the Euler-Maclaurin summation formula. By using these formulae, we obtain special series including the Bernoulli numbers and Riemann zeta function. Consequently, we show that this series is calculated by Euler-Mascheroni constant. 2010 Mathematics Subject Classification. Primary 11B68; Secondary 65B15.
Bibliography:ObjectType-Conference Proceeding-1
SourceType-Conference Papers & Proceedings-1
content type line 21
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0026474