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Abstract
We discuss the asymptotic expansions of certain products of Bernoulli numbers and factorials, e.g.,
for integers k ≥ 1 and r ≥ 0. Our main interest is to determine exact expressions, in terms of known constants, for the asymptotic constants of these expansions and to show some relations among them.
Keywords.: Asymptotic constants; Glaisher–Kinkelin constant; Bernoulli number; factorials; Gamma function; Riemann zeta function
Received: 2007-09-24
Accepted: 2009-02-21
Published Online: 2009-05-07
Published in Print: 2009-April
© de Gruyter 2009
