  We introduce and study "elliptic zeta values", a two-parameter deformation of
the values of Riemann's zeta function at positive integers. They are
essentially Taylor coefficients of the logarithm of the elliptic gamma
function, and share the SL(3,Z) modular properties of this function. Elliptic
zeta values at even integers are related to Eisenstein series and thus to sums
of odd powers of divisors. The elliptic zeta values at odd integers can be
expressed in terms of generating series of sums of even powers of divisors.
