A formula connecting the Bernoulli numbers with the Stieltjes constants

Abstract

We show that the formula recently derived by Coffey for the Stieltjes constants in terms of the Bernoulli numbers is mathematically equivalent to the much earlier representation derived by Briggs and Chowla.

References in corpus (3)

• Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers. Volume I
• Theta and Riemann xi function representations from harmonic oscillator eigensolutions
• The difference between two Stieltjes constants

Cited by in corpus (1)

• Expansions of generalized Euler's constants into the series of polynomials in ${\pi }^{-2}$ and into the formal enveloping series with rational coefficients only