English

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

Classical Analysis and ODEs 2016-10-10 v1 Number Theory

Abstract

We study a special Dirichlet series studied before by Apostol and Matsuoka and specify its values at negative integers. These values are related to a certain convolution of Bernoulli numbers

Keywords

Cite

@article{arxiv.0710.1127,
  title  = {The values of an Euler sum at negative integers and relation to a convolution of Bernoulli numbers},
  author = {Khristo N. Boyadzhiev and H. Gopalkrishna Gadiyar and R. Padma},
  journal= {arXiv preprint arXiv:0710.1127},
  year   = {2016}
}