  The weak coupling asymptotics, to order $(c/\rho)^2$, of the ground state
energy of the delta-function Bose gasmis derived. Here $2c\ge 0$ is the
delta-function potential amplitude and $\rho$ the density of the gas in the
thermodynamic limit. The analysis uses the electrostatic interpretation of the
Lieb-Liniger integral equation.
