Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2008; 45(2): 277-283

Printed June 1, 2008

Copyright © The Korean Mathematical Society.

The values of an Euler sum at the negative integers and a relation to a certain convolution of Bernoulli numbers

Khristo N. Boyadzhiev, H. Gopalkrishna Gadiyar, and R. Padma

Ohio Northern University, M. I. T. Campus of Anna University, and M. I. T. Campus of Anna University

Abstract

The paper deals with the values at the negative integers of a certain Dirichlet series related to the Riemann zeta function and with the expression of these values in terms of Bernoulli numbers.

Keywords: Dirichlet series, Euler sum, Bernoulli number, Hankel contour integration

MSC numbers: Primary 11M41, Secondary 11B68