Infinite series of various simple functions of the logarithm include
(1)
(2)
(3)
(4)
where
is the Euler-Mascheroni constant and
is the Riemann zeta function. Note that the
first two of these are divergent in the classical sense, but converge when interpreted
as zeta-regularized sums.
is the Euler-Mascheroni constant and
is the Riemann zeta function. Note that the
first two of these are divergent in the classical sense, but converge when interpreted
as zeta-regularized sums.
