The generalized Bernoulli numbers and its relation with the Riemann zeta function at odd-integer arguments
Number Theory
2023-08-25 v1
Abstract
By using the generalized Bernoulli numbers, we deduce new integral representations for the Riemann zeta function at positive odd-integer arguments. The explicit expressions enable us to obtain criteria for the dimension of the vector space spanned over the rational by the , .
Cite
@article{arxiv.2308.12521,
title = {The generalized Bernoulli numbers and its relation with the Riemann zeta function at odd-integer arguments},
author = {Yayun Wu},
journal= {arXiv preprint arXiv:2308.12521},
year = {2023}
}