Double series expression for the Stieltjes constants
Abstract We present expressions in terms of a double infinite series for the Stieltjes constants γk(a). These constants appear in the regular part of the Laurent expansion for the Hurwitz zeta function. We show that the case γk(1) = γ corresponds to a series representation for the Riemann zeta function given much earlier by Brun. As a byproduct, we obtain a parameterized double series representation of the Hurwitz zeta function.